Multi-mode Gaussian State Analysis with Total Photon Counting
- URL: http://arxiv.org/abs/2209.14453v1
- Date: Wed, 28 Sep 2022 22:37:23 GMT
- Title: Multi-mode Gaussian State Analysis with Total Photon Counting
- Authors: Arik Avagyan, Emanuel Knill, Scott Glancy
- Abstract summary: In this work we consider the question of what properties of an arbitrary multimode Gaussian state are determined by a single photon-number-resolving detector.
We find an answer in the ideal case where the exact photon-number probabilities are known.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The continuing improvement in the qualities of photon-number-resolving
detectors opens new possibilities for measuring quantum states of light. In
this work we consider the question of what properties of an arbitrary multimode
Gaussian state are determined by a single photon-number-resolving detector that
measures total photon number. We find an answer to this question in the ideal
case where the exact photon-number probabilities are known. We show that the
quantities determined by the total photon number distribution are the spectrum
of the covariance matrix, the absolute displacement in each eigenspace of the
covariance matrix, and nothing else. In the case of pure Gaussian states, the
spectrum determines the squeezing parameters.
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