The quantum computer condition: requirements for viable computation

Gerald Gilbert; Michael Hamrick; F. Javier Thayer; Yaakov S. Weinstein

doi:10.1117/12.666049

12 May 2006 The quantum computer condition: requirements for viable computation

Gerald Gilbert, Michael Hamrick, F. Javier Thayer, Yaakov S. Weinstein

Proceedings Volume 6244, Quantum Information and Computation IV; 624410 (2006) https://doi.org/10.1117/12.666049
Event: Defense and Security Symposium, 2006, Orlando (Kissimmee), Florida, United States

Abstract

In this paper we review the content of the Quantum Computer Condition, which is a rigorously specified criterion that provides a set of mathematical constraints that must be satisfied by a physical system if we intend to use that system as a quantum computing machine, and we discuss an important consequence of it known as the Quantum Computing No-Go Theorem, which establishes a bound for decoherence and dissipation beyond which quantum computation is not possible. In connection with this theorem, we explicitly calculate a universal critical damping value for fault-tolerant quantum computation. We also discuss a relevant class of time-dependent generalizations of the Lindblad equation.

Citation Download Citation

Gerald Gilbert, Michael Hamrick, F. Javier Thayer, and Yaakov S. Weinstein "The quantum computer condition: requirements for viable computation", Proc. SPIE 6244, Quantum Information and Computation IV, 624410 (12 May 2006); https://doi.org/10.1117/12.666049

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