Quantum Computation: What is it and Why?
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Quantum computation uses the quantistic physics principles to store and to process information on computational devices. Presentation for a workshop during the event "SUPER, Salone delle Startup e Imprese Innovative"
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Quantum computing
This document provides an overview of quantum computing. It defines quantum as the smallest possible unit of physical properties like energy or matter. Quantum computers use quantum phenomena like superposition and entanglement to perform operations on quantum bits (qubits). Qubits can exist in multiple states simultaneously, unlike classical computer bits which are either 0 or 1. The document outlines how quantum computers work based on quantum principles and can solve certain problems exponentially faster than classical computers. It also compares classical computers to quantum computers and discusses potential applications of quantum computing in areas like artificial intelligence, cryptography, and molecular modeling.
Quantum computer
Quantum computers perform calculations using quantum mechanics and qubits that can represent superpositions of states. While classical computers use bits that are either 0 or 1, qubits can be both 0 and 1 simultaneously. This allows quantum computers to massively parallelize computations. Some potential applications include simulating molecular interactions for drug development, breaking encryption standards, and optimizing machine learning models. Several companies are working to develop quantum computers, but building large-scale, reliable versions remains a challenge due to the difficulty of controlling qubits.
Quantum Computing
This is a seminar on Quantum Computing given on 9th march 2017 at CIME, Bhubaneswar by me(2nd year MCA).
Video at - https://youtu.be/vguxg0RYg7M
PDF at - http://www.slideshare.net/deepankarsandhibigraha/quantum-computing-73031375
Quantum computing
Quantum computing uses principles of quantum theory and qubits (quantum bits) that can represent superpositions of states to perform calculations. The document traces the history of quantum computing from its proposal in 1982 to modern developments. It explains key concepts like qubits, entanglement, and parallelism that allow quantum computers to solve certain problems like factorization and simulation much faster than classical computers. Recent progress in building quantum computers is discussed, including D-Wave Systems' quantum annealing approach. While obstacles remain, quantum computing could have important applications in networking, cryptography, and artificial intelligence.
Quantum Computers new Generation of Computers part 7 by prof lili saghafi Qua...
Quantum Computers new Generation of Computers part 7 by prof lili saghafi Qua...Professor Lili Saghafi
Quantum algorithm
algorithm for factoring, the general number field sieve
Optimization algorithm
deterministic quantum algorithm Deutsch-Jozsa algorithm
Entanglement
Enigma
Quantum TeleportationQuantum computing
Quantum computing uses quantum bits (qubits) that can exist in superpositions of states rather than just 1s and 0s. This allows quantum computers to perform exponentially more calculations in parallel than classical computers. Some of the main challenges to building quantum computers are preventing qubit decoherence from environmental interference, developing effective error correction methods, and observing outputs without corrupting data. Quantum computers may one day be able to break current encryption methods and solve optimization problems much faster than classical computers.
Quantum Computing
Nanotechnology involves manipulating matter at the atomic scale between 1 to 100 nanometers. It has applications in quantum computing which operates at the quantum level using quantum bits that can represent both 1s and 0s through superposition and entanglement. While a quantum computer could solve certain problems much faster than classical computers by processing vast amounts of calculations simultaneously, they still face limitations such as unpredictability, difficulty retrieving data, and requiring total isolation from the environment to maintain fragile quantum states.
Quantum computer
This document provides an overview of quantum computing, including its history, basic concepts, applications, advantages, difficulties, and future directions. It discusses how quantum computing originated in the 1980s with the goal of building a computer that is millions of times faster than classical computers and theoretically uses no energy. The basic concepts covered include quantum mechanics, superpositioning, qubits, quantum gates, and how quantum computers could perform calculations that are intractable on classical computers, such as factoring large numbers. The document also outlines some of the challenges facing quantum computing as well as potential future advances in the field.
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Quantum computing
This document provides an overview of quantum computing. It defines quantum as the smallest possible unit of physical properties like energy or matter. Quantum computers use quantum phenomena like superposition and entanglement to perform operations on quantum bits (qubits). Qubits can exist in multiple states simultaneously, unlike classical computer bits which are either 0 or 1. The document outlines how quantum computers work based on quantum principles and can solve certain problems exponentially faster than classical computers. It also compares classical computers to quantum computers and discusses potential applications of quantum computing in areas like artificial intelligence, cryptography, and molecular modeling.
Quantum computer
Quantum computers perform calculations using quantum mechanics and qubits that can represent superpositions of states. While classical computers use bits that are either 0 or 1, qubits can be both 0 and 1 simultaneously. This allows quantum computers to massively parallelize computations. Some potential applications include simulating molecular interactions for drug development, breaking encryption standards, and optimizing machine learning models. Several companies are working to develop quantum computers, but building large-scale, reliable versions remains a challenge due to the difficulty of controlling qubits.
Quantum Computing
This is a seminar on Quantum Computing given on 9th march 2017 at CIME, Bhubaneswar by me(2nd year MCA).
Video at - https://youtu.be/vguxg0RYg7M
PDF at - http://www.slideshare.net/deepankarsandhibigraha/quantum-computing-73031375
Quantum computing
Quantum computing uses principles of quantum theory and qubits (quantum bits) that can represent superpositions of states to perform calculations. The document traces the history of quantum computing from its proposal in 1982 to modern developments. It explains key concepts like qubits, entanglement, and parallelism that allow quantum computers to solve certain problems like factorization and simulation much faster than classical computers. Recent progress in building quantum computers is discussed, including D-Wave Systems' quantum annealing approach. While obstacles remain, quantum computing could have important applications in networking, cryptography, and artificial intelligence.
Quantum Computers new Generation of Computers part 7 by prof lili saghafi Qua...
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Quantum algorithm
algorithm for factoring, the general number field sieve
Optimization algorithm
deterministic quantum algorithm Deutsch-Jozsa algorithm
Entanglement
Enigma
Quantum TeleportationQuantum computing
Quantum computing uses quantum bits (qubits) that can exist in superpositions of states rather than just 1s and 0s. This allows quantum computers to perform exponentially more calculations in parallel than classical computers. Some of the main challenges to building quantum computers are preventing qubit decoherence from environmental interference, developing effective error correction methods, and observing outputs without corrupting data. Quantum computers may one day be able to break current encryption methods and solve optimization problems much faster than classical computers.
Quantum Computing
Nanotechnology involves manipulating matter at the atomic scale between 1 to 100 nanometers. It has applications in quantum computing which operates at the quantum level using quantum bits that can represent both 1s and 0s through superposition and entanglement. While a quantum computer could solve certain problems much faster than classical computers by processing vast amounts of calculations simultaneously, they still face limitations such as unpredictability, difficulty retrieving data, and requiring total isolation from the environment to maintain fragile quantum states.
Quantum computer
This document provides an overview of quantum computing, including its history, basic concepts, applications, advantages, difficulties, and future directions. It discusses how quantum computing originated in the 1980s with the goal of building a computer that is millions of times faster than classical computers and theoretically uses no energy. The basic concepts covered include quantum mechanics, superpositioning, qubits, quantum gates, and how quantum computers could perform calculations that are intractable on classical computers, such as factoring large numbers. The document also outlines some of the challenges facing quantum computing as well as potential future advances in the field.
Presentation quantum computers
The document discusses quantum computers, including their history, how they work, advantages and disadvantages, and applications. Quantum computers perform calculations using quantum mechanics and qubits, which can represent 0, 1, or both values simultaneously. Some key points covered include that quantum computers were first proposed in 1982 and have since seen developments in algorithms, but challenges remain around decoherence. Potential applications mentioned are for artificial intelligence, weather forecasting, financial modeling, cybersecurity, and drug design.
Quantum computers
Quantum computers use principles of quantum mechanics rather than classical binary logic. They have qubits that can represent superpositions of 0 and 1, allowing massive parallelism. Key effects like superposition, entanglement, and tunneling give them advantages over classical computers for problems like factoring and searching. Early quantum computers have been built with up to a few hundred qubits, and algorithms like Shor's show promise for cryptography applications. However, challenges remain around error correction and controlling quantum states as quantum computers scale up. D-Wave has produced commercial quantum annealing systems with over 1000 qubits, but debate continues on whether these demonstrate quantum advantage. Overall, quantum computing could transform fields like AI, simulation, and optimization if challenges around building reliable large-scale quantum
Quantum computing
This presentation is about quantum computing.which going to be new technological concept for computer operating system.In this subject the research is going on.
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This slide starts from a basic explanation between Bit and Qubit. It then follows with a brief history behind Quantum Computer, current trends, and update with concerns to make the quantum computer practically useful.
Quantum computing - Introduction
This document discusses the history and future of quantum computing. It explains how quantum computers work using principles of quantum mechanics like superposition and entanglement. Quantum computers can perform multiple computations simultaneously by exploiting the ability of qubits to exist in superposition. Current research involves building larger quantum registers with more qubits and performing calculations with 2 qubits. The future of quantum computing may enable solving certain problems much faster than classical computers, with desktop quantum computers potentially arriving within 10 years.
Quantum computing
This document provides an introduction to quantum computing. It discusses how quantum computers work using quantum bits (qubits) that can exist in superpositions of states unlike classical bits. Qubits can become entangled so that operations on one qubit affect others. Implementing qubits requires isolating quantum systems to avoid decoherence. Challenges include controlling decoherence, but research continues on algorithms, hardware, and bringing theoretical quantum computers to practical use. Quantum computers may solve problems intractable for classical computers.
Quantum Computers
1) Quantum computers operate using quantum bits (qubits) that can exist in superpositions of states rather than just 1s and 0s like classical bits.
2) Keeping qubits coherent and isolated from the external environment is extremely challenging as interaction causes decoherence within nanoseconds to seconds.
3) While prototypes of 5-7 qubit quantum computers exist, scaling them up to practical sizes of 50-100 qubits or more to outperform classical computers remains an outstanding challenge due to decoherence issues.
Quantum Computing
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Nowadays we work on classical computer that work with bits which is either 0s or 1s, but Quantum Computer work with qubits which is either 0s or 1s or 0 and 1 in the same time.
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This document summarizes quantum computing. It begins with an introduction explaining the differences between classical and quantum bits, with qubits being able to exist in superpositions of states. The history of quantum computing is discussed, including early explorations in the 1970s-80s and Peter Shor's breakthrough in 1994. D-Wave Systems is mentioned as the first company to develop a quantum computer in 2011. The scope, architecture, working principles, advantages and applications of quantum computing are then outlined at a high level. The document concludes by discussing the growing field of quantum computing research and applications.
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This document presents an overview of quantum computers. It begins with an introduction and brief outline, then discusses the history of quantum computing from 1982 onwards. It explains that quantum computers use quantum mechanics principles like qubits and superposition to potentially solve problems beyond the capabilities of classical computers. Some applications mentioned include cryptography, artificial intelligence, and teleportation. Challenges like decoherence and error correction are also noted. The conclusion states that if successfully built, quantum computers could revolutionize society.
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Quantum computing uses quantum mechanics phenomena like superposition and entanglement to perform calculations exponentially faster than classical computers for certain problems. While quantum computers have shown promise in areas like optimization, simulation, and encryption cracking, significant challenges remain in scaling up quantum bits and reducing noise and errors. Current research aims to build larger quantum registers of 50+ qubits to demonstrate quantum advantage and explore practical applications, with the future potential to revolutionize fields like artificial intelligence, materials design, and drug discovery if full-scale quantum computers can be realized.
Quantum computing
Quantum computing is a type of computation that harnesses the collective properties of quantum states, such as superposition, interference, and entanglement, to perform calculations.
This presentation is designed to elucidate about the Quantum Computing - History - Principles - QUBITS - Quantum Computing Models - Applications - Advantages and Disadvantages.
Quantum computing meghaditya
Quantum computing uses quantum mechanics phenomena like superposition and entanglement to perform operations on quantum bits (qubits) and solve certain problems much faster than classical computers. One such problem is integer factorization, for which Peter Shor devised an algorithm in 1994 that a quantum computer could solve much more efficiently than classical computers. While quantum computing is still in development, it has the potential to break popular encryption systems like RSA and simulate quantum systems. Practical implementations of quantum computing include ion traps, NMR, optical photons, and solid-state approaches. Quantum computing could enable applications in encryption-breaking, simulation, and cryptography, among other areas.
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This document provides an overview of quantum computers, including a brief history of computing technology, limitations of current computing approaches, and the theory behind quantum computing. Quantum computers use quantum particles and properties like superposition and entanglement to perform exponentially more computations than digital computers. While quantum computers currently exist only as theoretical constructs or limited prototypes, algorithms like Shor's algorithm show their potential to solve problems much faster than classical computers for applications like factoring large numbers. Several research groups worldwide are working to advance the technology with the goal of developing fully functional quantum computers within the next 10-20 years.
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Quantum computers have the potential to solve certain problems much faster than classical computers by exploiting principles of quantum mechanics, such as superposition and entanglement. However, building large-scale, reliable quantum computers faces challenges related to decoherence and controlling quantum systems. Current research aims to develop quantum algorithms and overcome issues in scaling up quantum hardware to perform more complex computations than today's most powerful supercomputers.
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An overview of quantum computing, with its features, capabilities and types of problems it can solve. Also covers some current and future implementations of quantum computing, and a view of the patent landscape.
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This document discusses quantum computers, which harness quantum phenomena like superposition and entanglement to perform operations. A qubit, the basic unit of information in a quantum computer, can exist in multiple states simultaneously. While this allows massive parallelism and an exponential increase in computational power over classical computers, building large-scale quantum computers faces challenges in maintaining coherence. Potential applications include cryptography, optimization problems, and software testing due to quantum computers' probabilistic solving approach.
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Presentation on quantum computers
Quantum computers have the potential to vastly outperform classical computers for certain problems. They make use of quantum bits (qubits) that can exist in superpositions of states and become entangled with each other. This allows quantum computers to perform calculations on all possible combinations of inputs simultaneously. However, building large-scale quantum computers faces challenges such as maintaining quantum coherence long enough to perform useful computations. Researchers are working to develop quantum algorithms and overcome issues like decoherence. If successful, quantum computers could solve problems in domains like cryptography, simulation, and machine learning that are intractable for classical computers.
Quantum computers
Quantum computers are still theoretical but could perform certain calculations much faster than classical computers. They use quantum bits that can exist in superposition and entanglement, allowing them to represent multiple states simultaneously. Current quantum computers have only manipulated a few qubits, but applications could include factoring large numbers and rapidly searching large databases. Significant challenges remain in developing practical quantum computers that can maintain quantum states long enough to perform useful computations.
Quantum Computing and its security implications
Quantum computers work with qubits that can exist in superposition and be entangled. They have enormous computational power compared to digital computers and could solve problems like prime factorization rapidly. This poses risks to current encryption methods and allows for perfectly secure quantum communication. Several types of quantum computers are being developed, from quantum annealers to analog and universal models, with the latter offering exponential speedups but being the hardest to build. Significant progress is being made, with quantum computers in the tens of qubits now and the need to transition encryption to post-quantum algorithms within the next decade.
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Quantum computers use principles of quantum mechanics rather than classical binary logic. They have qubits that can represent superpositions of 0 and 1, allowing massive parallelism. Key effects like superposition, entanglement, and tunneling give them advantages over classical computers for problems like factoring and searching. Early quantum computers have been built with up to a few hundred qubits, and algorithms like Shor's show promise for cryptography applications. However, challenges remain around error correction and controlling quantum states as quantum computers scale up. D-Wave has produced commercial quantum annealing systems with over 1000 qubits, but debate continues on whether these demonstrate quantum advantage. Overall, quantum computing could transform fields like AI, simulation, and optimization if challenges around building reliable large-scale quantum
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This document discusses the history and future of quantum computing. It explains how quantum computers work using principles of quantum mechanics like superposition and entanglement. Quantum computers can perform multiple computations simultaneously by exploiting the ability of qubits to exist in superposition. Current research involves building larger quantum registers with more qubits and performing calculations with 2 qubits. The future of quantum computing may enable solving certain problems much faster than classical computers, with desktop quantum computers potentially arriving within 10 years.
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This document provides an introduction to quantum computing. It discusses how quantum computers work using quantum bits (qubits) that can exist in superpositions of states unlike classical bits. Qubits can become entangled so that operations on one qubit affect others. Implementing qubits requires isolating quantum systems to avoid decoherence. Challenges include controlling decoherence, but research continues on algorithms, hardware, and bringing theoretical quantum computers to practical use. Quantum computers may solve problems intractable for classical computers.
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2) Keeping qubits coherent and isolated from the external environment is extremely challenging as interaction causes decoherence within nanoseconds to seconds.
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This document summarizes quantum computing. It begins with an introduction explaining the differences between classical and quantum bits, with qubits being able to exist in superpositions of states. The history of quantum computing is discussed, including early explorations in the 1970s-80s and Peter Shor's breakthrough in 1994. D-Wave Systems is mentioned as the first company to develop a quantum computer in 2011. The scope, architecture, working principles, advantages and applications of quantum computing are then outlined at a high level. The document concludes by discussing the growing field of quantum computing research and applications.
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This document presents an overview of quantum computers. It begins with an introduction and brief outline, then discusses the history of quantum computing from 1982 onwards. It explains that quantum computers use quantum mechanics principles like qubits and superposition to potentially solve problems beyond the capabilities of classical computers. Some applications mentioned include cryptography, artificial intelligence, and teleportation. Challenges like decoherence and error correction are also noted. The conclusion states that if successfully built, quantum computers could revolutionize society.
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Quantum computing uses quantum mechanics phenomena like superposition and entanglement to perform calculations exponentially faster than classical computers for certain problems. While quantum computers have shown promise in areas like optimization, simulation, and encryption cracking, significant challenges remain in scaling up quantum bits and reducing noise and errors. Current research aims to build larger quantum registers of 50+ qubits to demonstrate quantum advantage and explore practical applications, with the future potential to revolutionize fields like artificial intelligence, materials design, and drug discovery if full-scale quantum computers can be realized.
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Quantum computing uses quantum mechanics phenomena like superposition and entanglement to perform operations on quantum bits (qubits) and solve certain problems much faster than classical computers. One such problem is integer factorization, for which Peter Shor devised an algorithm in 1994 that a quantum computer could solve much more efficiently than classical computers. While quantum computing is still in development, it has the potential to break popular encryption systems like RSA and simulate quantum systems. Practical implementations of quantum computing include ion traps, NMR, optical photons, and solid-state approaches. Quantum computing could enable applications in encryption-breaking, simulation, and cryptography, among other areas.
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Quantum computers have the potential to solve certain problems much faster than classical computers by exploiting principles of quantum mechanics, such as superposition and entanglement. However, building large-scale, reliable quantum computers faces challenges related to decoherence and controlling quantum systems. Current research aims to develop quantum algorithms and overcome issues in scaling up quantum hardware to perform more complex computations than today's most powerful supercomputers.
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An overview of quantum computing, with its features, capabilities and types of problems it can solve. Also covers some current and future implementations of quantum computing, and a view of the patent landscape.
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This document discusses quantum computers, which harness quantum phenomena like superposition and entanglement to perform operations. A qubit, the basic unit of information in a quantum computer, can exist in multiple states simultaneously. While this allows massive parallelism and an exponential increase in computational power over classical computers, building large-scale quantum computers faces challenges in maintaining coherence. Potential applications include cryptography, optimization problems, and software testing due to quantum computers' probabilistic solving approach.
Quantum Computing: Welcome to the Future
Vern Brownell, CEO at D-Wave Systems, shares his thoughts on Quantum Computing in this presentation, which he delivered at Compute Midwest in November 2014. He addresses big questions that include: What is a quantum computer? How do you build one? Why does it matter? What does the future hold for quantum computing?
Presentation on quantum computers
Quantum computers have the potential to vastly outperform classical computers for certain problems. They make use of quantum bits (qubits) that can exist in superpositions of states and become entangled with each other. This allows quantum computers to perform calculations on all possible combinations of inputs simultaneously. However, building large-scale quantum computers faces challenges such as maintaining quantum coherence long enough to perform useful computations. Researchers are working to develop quantum algorithms and overcome issues like decoherence. If successful, quantum computers could solve problems in domains like cryptography, simulation, and machine learning that are intractable for classical computers.
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Descrizione: all’interno del talk saranno illustrate le più innovative tecnologie attualmente utilizzate dalle più grandi aziende in circolazione. Verranno introdotte le tecnologie esponenziali, con un particolare focus sui computer quantistici, sulla blockchain e sull’intelligenza artificiale. L’attenzione cadrà sull’importanza degli algoritmi matematici nell’impostazione di tali tecnologie e verranno raccontati aneddoti e casi di successo agli albori di aziende come Amazon, Google e Facebook. Infine si porrà l’accento sui trend del momento, in particolare sul tema dell’Industria 4.0, in modo da ipotizzare scenari futuristici di come sarà il mondo tra 20 anni.
Talk tenuto il 29 gennaio 2019 in occasione di Log@Ritmi, il festival della scienza del Liceo Scientifico "G. Salvemini".
Il fantastico mondo della teoria dei giochi | Festival della Scienza
Introduzione alla Teoria dei Giochi, con casi pratici ed esempi.
Il talk è stato tenuto il 23 Gennaio 2017 durante il Festival della Scienza organizzato dal Liceo Scientifico "Gaetano Salvemini" di Bari a cui hanno partecipato oltre 2500 studenti provenienti da scuole di tutta la provincia.
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Presentation of My Best District, a web application that allows citizens to find out the quality of life in the di fferent districts of their city.
The tool is an outcome of the workshop about Open Data within the Bari European Maker Week, an initiative promoted by several organizations and sponsored by the City of Bari. For five days (from the 1st to the 5th of June 2016) makers, researchers, professionals and enthusiasts have worked together to design useful tools for the community.
My Best District was presented during I-Cities 2016, an international conference on ICT for Smart Cities and Communities.
My Best District is the first research work published by Alumni Mathematica, a non profit organization committed in indipendent scientific research.
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Presentazione durante l'Assemblea di tutti i Soci di Alumni Mathematica.
Ho presentato le attività future e passato in rassegna le attività passate.
In particolare mi sono concentrato a presentare le attività dell'Associazione destinate alla ricerca scientifica indipendente.
L'incontro si è tenuto in data 26 Febbraio 2016 presso The Hub Bari, il Padiglione della Fiera del Levante dedicato alle startup e alle imprese creative.
Pitch PIGREEK | Startcup Puglia 2015 | Bari
Pitch durante la finale per la Startcup Puglia 2015, tenuta a Bari in occasione della 79° edizione della Fiera del Levante nel Padiglione della Regione Puglia il 18 Settembre 2015.
Progetto presentato: Pigreek, piattaforma web dove sviluppatori e programmatori possono potenziare i propri software integrando all'interno potenti algoritmi matematici.
B-Geek | Laboratorio "Teoria dei Giochi e Arte della Negoziazione"
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Nel corso del laboratorio sono state presentate le principali applicazioni della Teoria, con riferimenti storici. Sono stati introdotti i concetti principali (come l'algoritmo di Minimax, l'equilibrio di Nash e l'ottimo paretiano) e sono stati fatti giochi a squadre sul dilemma del prigioniero per esplicitare meglio le nozioni.
Assemblea dei Soci 2015 - Presentazione attività
Presentazione durante l'Assemblea di tutti i Soci di Alumni Mathematica.
Ho presentato le attività future e passato in rassegna le attività passate.
Inoltre ho cercato di rispondere alle domande:
- Cosa vuol dire essere Socio di Alumni Mathematica?
- Perché dovrei Associarmi.
L'incontro si è tenuto in data 27 Febbraio 2015 presso The Hub Bari, il Padiglione della Fiera del Levante dedicato alle startup e alle imprese creative.
5 June 2014 - Math on Job - Alumni Mathematica Presentation
My pitch during the meeting "Math on Job", a workshop between graduates and business companies. I presented Alumni Mathematica and research projects that we carry out.
Open day, "The new way to do mathematics"
My presentation during the Open Day "Come la mathematica migliora il mondo", organized by Alumni Mathematica Association on April 4th 2014, Bari, Department of Mathematics.
The topic of the presentation is give a flash on philosophy that move the Association, the goals achieved and next steps.
Matematica, un approccio algoritmico
My seminar "Matematica, un approccio algoritmico" during the event "Come è piccolo il mondo" organised by Alumni Mathematica association. I introduce the notion of algorithm and some exemples of it for young students.
Come è piccolo il mondo!
"Come è piccolo il mondo" is an event organised for Alumni Mathematica association in a high school of Apulia. This presentation is an introdution of the day focusing the attention on mathematical applications in everyday life.
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This is the presentation of the association Alumni Mathematica, committed on indipendent mathematical scientific research, during the meeting "Rivalorizzare la figura del matematico" at Department of Mathematics in Bari on 22 October 2013
Quantum computation: EPR Paradox and Bell's Inequality
1) The document discusses quantum computation, including basic concepts like qubits, superposition, entanglement, and EPR paradox.
2) It explains that quantum computers can perform operations on data using quantum phenomena like superposition and entanglement. This allows for computations that classical computers cannot perform under the Church-Turing thesis.
3) Examples are given showing how a quantum protocol using an entangled EPR pair can solve a certain information processing task more efficiently than a classical protocol.
5 giugno 2013 Presentazione Alumni Mathematica
Presentazione di Alumni Mathematica, neonata associazione per la ricerca scientifica indipendente
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Quantum Computation: What is it and Why?
- 1. 77° Fiera del Levante 22 September 2013 16,40 Pad.7
- 2. Who am I? Degree in Mathematics Innovaction Lab, Puglia MasterEuropei stefano franco stefano@alumnimathematica.org
- 3. Just two questions: 1. What is Quantum Computation? 2. Why Quantum Computation?
- 4. “God does not throw dice” (Einstein, 4 December 1926)
- 5. 1. What is Quantum Computation? A quantum computer is a computation device that makes direct use of quantum-mechanical phenomena to perform operations on data
- 6. 1.1 Historical notes Turing machine Alan (1912-1954) Post-IIWW period physics is strictly connected to computation
- 7. - quantum computation is possible - - - 1970 Stephene Wiesner invents conjugate coding
- 8. - quantum computation is possible - quantum computation is different from classical computation - - 1973 Charles H. Bennett shows that computation can be done reversibly
- 9. - quantum computation is possible - quantum computation is different from classical computation - quantum computation is necessary for some computational devices - 1981 Richard Feynmann (Physic Nobel Prize)
- 10. 1.2 Bit vs Qubit ...and the microscopic world? Bit
- 11. Curiosity: how many information can be stored by a qubit? Exactly 2, like a classical bit (Holevo, 1973) Qubit
- 12. - quantum computation is possible - quantum computation is different from classical computation - quantum computation is necessary for some computational devices - quantum computation is better than the classical one
- 13. 2. Why Quantum Computation? Quantum computers are the only model of computation that escape the limitations on computation imposed by the extended Church-Turing thesis “a function is algorithmically computable if and only if it is computable by a Turing machine. Besides the machines conserve the same size order resolution time”
- 14. Consequences (potentially and not formally): ● quantum computers are faster ● quantum computers are cheaper processor's performances and the number of transistors per square inch on integrated circuits doubled approximately every 18 months (Moore's Law)
- 16. - quantum computation is possible - quantum computation is different from classical computation - quantum computation is necessary for some computational devices - quantum computation is better than the classical one because quantum computers resolve better some computational algorithms
- 17. don't you believe it?
- 18. 2.1 EPR Paradox (1935) Can quantum mechanics be complete? Assumption 1. Physics reality 2. Locality 3. Completeness There exist local hidden variables!
- 19. Bell's Inequality (1964) (experimentally Aspect and co-workers, 1981) “There does not exist any local variable theory consistent with outcomes of quantum physics” Consequences Entanglement is not paradossal Quantum correlations in an EPR pair are “stronger” than classical correlations and create more powerful computational performances
- 20. ...and now?
- 21. ● D-wave - Founded in 1999 - 13 February 2007, Orion prototype ● Google 2009, first result on a quantum computer ● “D-wave skeptic” - Umesh Vazirani, Berkley - Scott Aaronson, MIT Boston In the world...
- 22. ...and in Italy? None (or almost)
- 24. Alumni Mathematica, the new way to think math! www.alumnimathematica.org stefano@alumnimathematica.org