Stochastic resonance in Gaussian quantum channels

Physics – Quantum Physics

Scientific paper

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9 pages, 5 figures

Scientific paper

We determine conditions for the presence of stochastic resonance in a lossy bosonic channel with a nonlinear, threshold decoding. The stochastic resonance noise benefit occurs if and only if the detection threshold is outside of a "forbidden interval." We show how noise benefits can occur in different settings: when transmitting classical messages through a lossy bosonic channel, when transmitting over an entanglement-assisted lossy bosonic channel, and when discriminating channels with different loss parameters. Moreover, we consider a setting in which noise can benefit the faithful transmission of a qubit over a lossy bosonic channel with a particular encoding and decoding. In the latter case, we measure noise benefits in terms of the average channel fidelity and the entanglement preserved between a reference system and the channel output. In all cases, we assume Gaussian noise, allowing us to improve upon the forbidden-interval conditions found in earlier work.

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