An agnostic-Dolinar receiver for coherent states classification
- URL: http://arxiv.org/abs/2106.11909v1
- Date: Tue, 22 Jun 2021 16:35:42 GMT
- Title: An agnostic-Dolinar receiver for coherent states classification
- Authors: Fabio Zoratti, Nicola Dalla Pozza, Marco Fanizza, Vittorio Giovannetti
- Abstract summary: We consider the problem of discriminating quantum states, where the task is to distinguish two different quantum states with a complete classical knowledge about them.
In the case the quantum states are represented by coherent states of light, we identify intermediate scenarios where partial prior information is available.
- Score: 2.6763498831034034
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: We consider the problem of discriminating quantum states, where the task is
to distinguish two different quantum states with a complete classical knowledge
about them, and the problem of classifying quantum states, where the task is to
distinguish two classes of quantum states where no prior classical information
is available but a finite number of physical copies of each classes are given.
In the case the quantum states are represented by coherent states of light, we
identify intermediate scenarios where partial prior information is available.
We evaluate an analytical expression for the minimum error when the quantum
states are opposite and a prior on the amplitudes is known. Such a threshold is
attained by complex POVM that involve highly non-linear optical procedure. A
suboptimal procedure that can be implemented with current technology is
presented that is based on a modification of the conventional Dolinar receiver.
We study and compare the performance of the scheme under different assumptions
on the prior information available.
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