Device-independent quantum reading and noise-assisted quantum transmitters
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In this article, the authors show that the enhanced quantum efficiency depends on the presence in the transmitter of a particular type of quantum correlations, the discord of response, which leads to an increased state distinguishability.Abstract:
In quantum reading, a quantum state of light (transmitter) is applied to read classical information. In the presence of noise or for sufficiently weak signals, quantum reading can outperform classical reading by enhanced state distinguishability. Here we show that the enhanced quantum efficiency depends on the presence in the transmitter of a particular type of quantum correlations, the discord of response. Different encodings and transmitters give rise to different levels of efficiency. Considering noisy quantum probes we show that squeezed thermal transmitters with non-symmetrically distributed noise among the field modes yield a higher quantum efficiency compared to coherent thermal quantum states. The noise-enhanced quantum advantage is a consequence of the discord of response being a non-decreasing function of increasing thermal noise under constant squeezing, a behavior that leads to an increased state distinguishability. We finally show that, for non-symmetric squeezed thermal states, the probability of error, as measured by the quantum Chernoff bound, vanishes asymptotically with increasing local thermal noise at finite global squeezing. Therefore, at fixed finite squeezing, noisy but strongly discordant quantum states with large noise imbalance between the field modes can outperform noisy classical resources as well as pure entangled transmitters with the same finite level of squeezing.read more
Citations
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Geometric Measures of Quantum Correlations with Bures and Hellinger Distances
TL;DR: A survey of the geometric approach to quantum correlations can be found in this article, where the authors focus mainly on the geometric measures of quantum correlations based on the Bures and quantum Hellinger distances.
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Discord of response
TL;DR: In this article, the Bures distance has been shown to be both Riemannian and contractive under completely positive and trace preserving maps, and admits important operational interpretations in terms of state distinguishability.
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