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Classical command of quantum systems

Author

Listed:
  • Ben W. Reichardt

    (University of Southern California)

  • Falk Unger

    (Knight Capital Group, Inc.)

  • Umesh Vazirani

    (University of California)

Abstract

Quantum computation and cryptography both involve scenarios in which a user interacts with an imperfectly modelled or ‘untrusted’ system. It is therefore of fundamental and practical interest to devise tests that reveal whether the system is behaving as instructed. In 1969, Clauser, Horne, Shimony and Holt proposed an experimental test that can be passed by a quantum-mechanical system but not by a system restricted to classical physics. Here we extend this test to enable the characterization of a large quantum system. We describe a scheme that can be used to determine the initial state and to classically command the system to evolve according to desired dynamics. The bipartite system is treated as two black boxes, with no assumptions about their inner workings except that they obey quantum physics. The scheme works even if the system is explicitly designed to undermine it; any misbehaviour is detected. Among its applications, our scheme makes it possible to test whether a claimed quantum computer is truly quantum. It also advances towards a goal of quantum cryptography: namely, the use of ‘untrusted’ devices to establish a shared random key, with security based on the validity of quantum physics.

Suggested Citation

  • Ben W. Reichardt & Falk Unger & Umesh Vazirani, 2013. "Classical command of quantum systems," Nature, Nature, vol. 496(7446), pages 456-460, April.
    • Handle: RePEc:nat:nature:v:496:y:2013:i:7446:d:10.1038_nature12035
    DOI: 10.1038/nature12035
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    Cited by:

    1. Dorit Aharonov & Jordan Cotler & Xiao-Liang Qi, 2022. "Quantum algorithmic measurement," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    2. Batool, Syeda Iram & Amin, Muhammad & Waseem, Hafiz Muhammad, 2020. "Public key digital contents confidentiality scheme based on quantum spin and finite state automation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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