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arXiv · 1901.01345

A squeezing invariant measurement to test displacement of quantum Gaussian states

Yoshiyuki Tsuda
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Abstract

We consider a hypothesis testing problem for displacement parameters of n independent copies of an m-mode squeezed quantum Gaussian state whose mixture parameter is known. Given n>1, we construct a quantum measurement as a test using an observable which is invariant by n-fold tensor product of any m-mode squeezing operator. For a pure state case, we calculate the type II error probability of this test. We compare this test with a Hotelling's T-squared test which is based on heterodyne measurements.

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Yoshiyuki Tsuda. 2019-01-05. A squeezing invariant measurement to test displacement of quantum Gaussian states. https://arxiv.org/abs/1901.01345

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