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How Quantum Computers Can Fail

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  • Gil Kalai

Abstract

We propose and discuss two postulates on the nature of errors in highly correlated noisy physical stochastic systems. The first postulate asserts that errors for a pair of substantially correlated elements are themselves substantially correlated. The second postulate asserts that in a noisy system with many highly correlated elements there will be a strong effect of error synchronization. These postulates appear to be damaging for quantum computers. The paper includes a self-contained description of the model of quantum computers.

Suggested Citation

  • Gil Kalai, 2009. "How Quantum Computers Can Fail," Discussion Paper Series dp500, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  • Handle: RePEc:huj:dispap:dp500
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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp500.pdf
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    References listed on IDEAS

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    1. Jean-Fran├žois Mertens & Abraham Neyman & Dinah Rosenberg, 2009. "Absorbing Games with Compact Action Spaces," Mathematics of Operations Research, INFORMS, vol. 34(2), pages 257-262, May.
    2. Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2003. "The MaxMin value of stochastic games with imperfect monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 133-150, December.
    3. J-M Coulomb, 2003. "Stochastic games without perfect monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 73-96, December.
    4. Abraham Neyman, 2002. "Stochastic games: Existence of the MinMax," Discussion Paper Series dp295, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    5. Abraham Neyman, 2001. "Real Algebraic Tools in Stochastic Games," Discussion Paper Series dp272, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
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