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arXiv 1109.4147quant-phnlin.CD
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高斯量子信道中的随机共振

Stochastic resonance in Gaussian quantum channels

Cosmo Lupo, Stefano Mancini, Mark M. Wilde

摘要:

我们确定的条件存在的随机共振在一个有损玻色子信道的非线性,阈值解码。当且仅当检测阈值在“禁止区间”之外时,发生随机共振效应。我们表明,它发生在不同的设置:当传输经典的消息通过一个有损玻色子信道,当传输在一个纠缠辅助有损玻色子信道,当歧视不同的损失参数的信道。此外,我们考虑一个设置中,随机共振发生在一个有损玻色子信道与特定的编码和解码的量子比特的传输。在所有情况下,我们假设高斯噪声的信号,并表明,它并不重要,发送者和接收者之间,引入这样的噪声。值得注意的是,当考虑私人通信的设置时,得到了不同的结果。在这种情况下,发送者和接收者之间的对称性被打破,并且“禁止间隔”可能消失,导致对于任何检测阈值的值的随机共振效应的发生。

英文摘要:

We determine conditions for the presence of stochastic resonance in a lossy bosonic channel with a nonlinear, threshold decoding. The stochastic resonance effect occurs if and only if the detection threshold is outside of a "forbidden interval". We show that it takes place 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 stochastic resonance occurs in the transmission of a qubit over a lossy bosonic channel with a particular encoding and decoding. In all cases, we assume the addition of Gaussian noise to the signal and show that it does not matter who, between sender and receiver, introduces such a noise. Remarkably, different results are obtained when considering a setting for private communication. In this case the symmetry between sender and receiver is broken and the "forbidden interval" may vanish, leading to the occurrence of stochastic resonance effects for any value of the detection threshold.

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