Quantum Forbidden-Interval Theorems for Stochastic Resonance

Details Quantum Forbidden-Interval Theorems for Stochastic Resonance Quantum Forbidden-Interval Theorems for Stochastic Resonance

2008-01-21

arxiv.org/abs/0801.3141v1

Journal of Physics A: Mathematical and Theoretical 42, 465309 (2009).

Physics

Quantum Physics

13 pages, 2 figures

Scientific paper

10.1088/1751-8113/42/46/465309

We extend the classical forbidden-interval theorems for a stochastic-resonance noise benefit in a nonlinear system to a quantum-optical communication model and a continuous-variable quantum key distribution model. Each quantum forbidden-interval theorem gives a necessary and sufficient condition that determines whether stochastic resonance occurs in quantum communication of classical messages. The quantum theorems apply to any quantum noise source that has finite variance or that comes from the family of infinite-variance alpha-stable probability densities. Simulations show the noise benefits for the basic quantum communication model and the continuous-variable quantum key distribution model.

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