Limit of Gaussian operations and measurements for Gaussian state
discrimination, and its application to state comparison
- URL: http://arxiv.org/abs/2009.00108v1
- Date: Mon, 31 Aug 2020 21:17:44 GMT
- Title: Limit of Gaussian operations and measurements for Gaussian state
discrimination, and its application to state comparison
- Authors: David E. Roberson, Shuro Izumi, Wojciech Roga, Jonas S.
Neergaard-Nielsen, Masahiro Takeoka, Ulrik L. Andersen
- Abstract summary: We consider the so-called constant-$hatp$ displaced states which include mixtures of multimode coherent states arbitrarily displaced along a common axis.
We first show that no global or local Gaussian transformations or generalized Gaussian measurements can lead to a better discrimination method than simple homodyne measurements applied to each mode separately and classical postprocessing of the results.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We determine the optimal method of discriminating and comparing quantum
states from a certain class of multimode Gaussian states and their mixtures
when arbitrary global Gaussian operations and general Gaussian measurements are
allowed. We consider the so-called constant-$\hat{p}$ displaced states which
include mixtures of multimode coherent states arbitrarily displaced along a
common axis. We first show that no global or local Gaussian transformations or
generalized Gaussian measurements can lead to a better discrimination method
than simple homodyne measurements applied to each mode separately and classical
postprocessing of the results. This result is applied to binary state
comparison problems. We show that homodyne measurements, separately performed
on each mode, are the best Gaussian measurement for binary state comparison. We
further compare the performance of the optimal Gaussian strategy for binary
coherent states comparison with these of non-Gaussian strategies using photon
detections.
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