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Main Authors: Blasiak, Pawel, Markiewicz, Marcin
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.17339
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author Blasiak, Pawel
Markiewicz, Marcin
author_facet Blasiak, Pawel
Markiewicz, Marcin
contents All particles of the same type are indistinguishable, according to a fundamental quantum principle. This entails a description of many-particle states using symmetrised or anti-symmetrised wave functions, which turn out to be formally entangled. However, the measurement of individual particles is hampered by a mode description in the second-quantised theory that masks this entanglement. Is it nonetheless possible to use such states as a resource in Bell-type experiments? More specifically, which states of identical particles can demonstrate non-local correlations in passive linear optical setups that are considered purely classical component of the experiment? Here, the problem is fully solved for multi-particle states with a definite number of identical particles. We show that all fermion states and most boson states provide a sufficient quantum resource to exhibit non-locality in classical optical setups. The only exception is a special class of boson states that are reducible to a single mode, which turns out to be locally simulable for any passive linear optical experiment. This finding highlights the connection between the basic concept of particle indistinguishability and Bell non-locality, which can be observed by classical means for almost every state of identical particles.
format Preprint
id arxiv_https___arxiv_org_abs_2404_17339
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Identical particles as a genuine non-local resource
Blasiak, Pawel
Markiewicz, Marcin
Quantum Physics
All particles of the same type are indistinguishable, according to a fundamental quantum principle. This entails a description of many-particle states using symmetrised or anti-symmetrised wave functions, which turn out to be formally entangled. However, the measurement of individual particles is hampered by a mode description in the second-quantised theory that masks this entanglement. Is it nonetheless possible to use such states as a resource in Bell-type experiments? More specifically, which states of identical particles can demonstrate non-local correlations in passive linear optical setups that are considered purely classical component of the experiment? Here, the problem is fully solved for multi-particle states with a definite number of identical particles. We show that all fermion states and most boson states provide a sufficient quantum resource to exhibit non-locality in classical optical setups. The only exception is a special class of boson states that are reducible to a single mode, which turns out to be locally simulable for any passive linear optical experiment. This finding highlights the connection between the basic concept of particle indistinguishability and Bell non-locality, which can be observed by classical means for almost every state of identical particles.
title Identical particles as a genuine non-local resource
topic Quantum Physics
url https://arxiv.org/abs/2404.17339