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Quantum Computer

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- 1. Quantum Computer By Ritikesh Bhaskarwar Department of ComputerTechnology YESHWANTRAO CHAVAN COLLEGE OF ENGINEERING, Nagpur (An Autonomous Institution Affiliated to RashtrasantTukadoji Maharaj Nagpur University)
- 2. Introduction : A quantum computer is a device for computation that makes direct use of quantum mechanical phenomena, such as superposition and entanglement, to perform operations on data. It harnesses the power of atoms and molecules to perform memory and processing tasks.
- 3. If, as Moore's Law states, the number of transistors on a microprocessor continues to double every 18 months, the year 2020 or 2030 will find the circuits on a microprocessor measured on an atomic scale. The logical next step will be to create quantum computers, which will harness the power of atoms and molecules to perform memory and processing tasks.
- 4. History : Richard Feynman observed in the early 1980s [Feynman 1982] that certain quantum mechanical effects cannot be simulated efficiently on a classical computer. It wasn’t until 1994, when Peter Shor surprised the world by describing a polynomial time quantum algorithm for factoring integers [Shor 1994; 1997]
- 5. Literature Survey: E.Rieffel,W.Polak,”An IntroductionTo Quantum Computing for Non-Physicist”, ACM Computing Survey,Vol. 32, No.3 (2000). => It introduces basic principles of quantum mechanics to explain where the power of quantum computers comes from and why it is difficult to harness.
- 6. D.DiVincenzo, ”Quantum Computation”, Science, New Series,Vol. 270, No.5234 (2006). => It is evident from this survey of the current state of art in quantum experimental physics that construction of quantum computer is presently in most rudimentary stage. C.H.Bennet, ”Quantum Information And Computation”, Physics Today, American Institute of Physics (1995). => The quantum information processing involves quantum states which is described by a wave function or a state in a Hilbert space
- 7. Background Knowledge : Superposition Definition :- Two things can overlap each other without interfering with each other. In classical computers, electrons cannot occupy the same space at the same time, but as waves, they can. A single qubit can be forced into a superposition of the two states denoted by the addition of the state vectors:
- 8. A qubit in superposition is in both of the states |1> and |0> at the same time Superposition
- 9. Entanglement Entanglement is the ability of quantum systems to exhibit correlations between states within a superposition. Imagine two qubits, each in the state |0> + |1> (a superposition of the 0 and 1.) We can entangle the two qubits such that the measurement of one qubit is always correlated to the measurement of the other qubit.
- 10. Quantum Bits: A quantum bit, or qubit, is a unit vector in a two-dimensional complex vector space for which a particular basis, denoted by {|0>,|1>}, has been ﬁxed. The orthonormal basis |0> and |1> may correspond to the |↑> and |→> polarizations of a photon respectively
- 11. Pictorial Representation of Qubits State |0> (top) and State |1> (bottom)
- 12. Bits v/s Qubits Bits Qubits The device computes by manipulating those bits with the help of logic gates A classical computer has a memory made up of bits , where each bit holds either a one or a zero A qubit can hold a one, a zero, or, crucially, a superposition of these ,manipulating those qubits with the help of quantum logic gates The qubits can be in a superposition of all the classically allowed states.
- 14. Quantum Dots : A quantum dot is a semiconductor nanostructure that confines the motion of conduction band electrons valence band holes or excitons (pairs of conduction band electrons and valence band holes) ,in all three spatial directions.
- 15. UNIVERSAL QUANTUM LOGIC GATE It is realized with high-finesse microwave cavities and two-state atoms. All possible quantum computations can be built up with a network of such gates. More general output states can be obtained by adjusting the atom-cavity interactions and adding another Ramsey zone
- 16. Quantum Logic Gate :
- 17. Advantages : Exponential computing power, combined with the fact that a qubit can be simultaneously a one and zero at the same time, gives quantum computers another edge over binary. It can explore different solutions simultaneously, instead of one at a time. Imagine having thousands of computers working in unison to solve your problem.
- 18. They can cut the amount of time needed to find a solution by well over half, reducing a problem that might have taken years to solve to mere hours. In quantum systems, the computational space increases exponentially with the size of the system, which enables exponential parallelism. The exploitation of the properties such as entanglement and superposition permit some types of computations to be performed more efficiently than the best competing classical algorithms.
- 19. Limitations : One of the major problems of quantum computers is that the interaction between qubits cannot be turned on and off when desired. While a quantum system can perform massive parallel computation, access to the results of the computation is restricted. Accessing the results is equivalent to making a measurement, which disturbs the quantum state.
- 20. Realizations and difficulty in building quantum computer The quantum computer might be the theoretician's dream, its realization is a nightmare It is very difficult to scaling the component in quantum computer As the number of quantum gates in a network increases, we quickly run into some serious practical problems The more likely it is that quantum information will spread outside the quantum computer and be lost into the environment, thus spoiling the computation
- 21. Application : Quantum computing is currently being used for encryption, long calculations and most importantly software validation. As technology reaches every aspect of living, having error free code is indispensable and a quantum computer is the perfect solution for testing and validating software code as quantum computers solve problems in a more probabilistic manner. Immense amount of computing power leads to calculate impossible mathematical calculation. Quantum computation algorithm has great application in the field of Mathematics. It has wide application in cryptography (the method of breaking ciphers).
- 22. Conclusion : It discusses an overview of the quantum computing world. It discusses the inevitability of quantum computers, how they originated, and what is different about them from classical computers. Quantum computes are coming, and they will require a new way of looking at computing.
- 23. Reference : E.Rieffel,W.Polak,”An IntroductionTo Quantum Computing for Non-Physicist”,ACM Computing Survey,Vol. 32, No.3 (2000). C.H.Bennet,”Quantum Information And Computation”, PhysicsToday,American Institute of Physics (1995). M.Lanzagorta, J.Uhlmann,”Hybrid Quantum- Classical Computing with Application to Computer Graphics”, IEEE Computer Graphics with Application (2003).