Tradeoff between energy and error in the discrimination of quantum-optical devices

Abstract

We address the problem of energy-error tradeoff in the discrimination between two linear passive quantum optical devices with a single use. We provide an analytical derivation of the optimal strategy for beamsplitters and an iterative algorithm converging to the optimum in the general case. We then compare the optimal strategy with a simpler strategy using coherent input states and homodyne detection. It turns out that the former requires much less energy in order to achieve the same performances.

7 pages, 4 figures, added references, published version

References in corpus (4)

• Quantum Illumination with Gaussian States
• Quantum Reading of a Classical Digital Memory
• Operational formulation of homodyne detection
• Discrimination of unitary transformations in the Deutsch-Jozsa algorithm

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