A squeezing invariant measurement to test displacement of quantum Gaussian states
Quantum Physics
2019-01-08 v1
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.
Keywords
Cite
@article{arxiv.1901.01345,
title = {A squeezing invariant measurement to test displacement of quantum Gaussian states},
author = {Yoshiyuki Tsuda},
journal= {arXiv preprint arXiv:1901.01345},
year = {2019}
}
Comments
33 pages, one figure