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Presentation for a workshop during the event "SUPER, Salone delle Startup e Imprese Innovative"

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- 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)
- 15. (University of Cambridge) http://www.doitpoms.ac.uk/tlplib/electromigration/printall.php
- 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)
- 23. #IQCC Italian Quantum Computer Community
- 24. Alumni Mathematica, the new way to think math! www.alumnimathematica.org stefano@alumnimathematica.org

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