Fundamental limits of quantum-secure covert optical sensing
Fundamental limits of quantum-secure covert optical sensing
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DOI:
10.1109/isit.2017.8007122
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发表时间:
2017-01
期刊:
影响因子:
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通讯作者:
Boulat A. Bash;C. Gagatsos;A. Datta;S. Guha
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文献类型:
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作者:
Boulat A. Bash;C. Gagatsos;A. Datta;S. Guha
We present a square root law for active sensing of phase θ of a single pixel using optical probes that pass through a single-mode lossy thermal-noise bosonic channel. Specifically, we show that, when the sensor uses an n-mode covert optical probe, the mean squared error (MSE) of the resulting estimator θn scales as 〈(θ-θ̂n)2〉 = O(1/√n) improving the scaling necessarily leads to detection by the adversary with high probability. We fully characterize this limit and show that it is achievable using laser light illumination and a heterodyne receiver, even when the adversary captures every photon that does not return to the sensor and performs arbitrarily complex measurement as permitted by the laws of quantum mechanics.