Optimal Quantum States for Image Sensing in Loss

Abstract

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.

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

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• Capacity of optical reading, Part 1: Reading boundless error-free bits using a single photon
• Improving the Precision of Optical Metrology by Detecting Fewer Photons