How robust is a quantum gate in the presence of noise?

Details How robust is a quantum gate in the presence of noise? How robust is a quantum gate in the presence of noise?

2003-01-21

arxiv.org/abs/quant-ph/0301108v1

Phys. Rev. A 68, 012308 (2003)

Physics

Quantum Physics

14 pages

Scientific paper

10.1103/PhysRevA.68.012308

We define several quantitative measures of the robustness of a quantum gate against noise. Exact analytic expressions for the robustness against depolarizing noise are obtained for all unitary quantum gates, and it is found that the controlled-not is the most robust two-qubit quantum gate, in the sense that it is the quantum gate which can tolerate the most depolarizing noise and still generate entanglement. Our results enable us to place several analytic upper bounds on the value of the threshold for quantum computation, with the best bound in the most pessimistic error model being 0.5.

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