Mark M Wilde and Bart Kosko 2009 J. Phys. A: Math. Theor. 42 465309 doi:10.1088/1751-8113/42/46/465309
Quantum forbidden-interval theorems for stochastic resonance
Mark M Wilde1,2 and Bart Kosko1
Show affiliationsWe 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 predicted noise benefits for the basic quantum communication model and the continuous-variable quantum key distribution model.
- PACS
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03.67.Dd Quantum cryptography and communication security
42.79.Sz Optical communication systems, multiplexers, and demultiplexers
42.50.Dv Quantum state engineering and measurements
42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps
- MSC
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81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
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Optics, quantum optics and lasers
- Dates
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Issue 46 (20 November 2009)
Received 29 April 2009, in final form 19 August 2009
Published 28 October 2009
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Quantum forbidden-interval theorems for stochastic resonance
Mark M Wilde and Bart Kosko 2009 J. Phys. A: Math. Theor. 42 465309
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