Optimal Quantum States for Image Sensing in Loss

Physics – Quantum Physics

Scientific paper

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6 pages, 3 figures. The supplementary material is provided as an appendix. The content is the same as the published version

Scientific paper

10.1103/PhysRevLett.107.193602

We consider a general image sensing framework that includes many quantum sensing problems by an appropriate choice of image set, prior probabilities, and cost function. For any such problem, in the presence of loss and a signal energy constraint, we show that a pure input state of light with the signal modes in a mixture of number states minimizes the cost among all ancilla-assisted parallel strategies. Lossy binary phase discrimination with a peak photon number constraint and general lossless image sensing are considered as examples.

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