Identical particles as a genuine non-local resource

• URL: http://arxiv.org/abs/2404.17339v1
• Date: Fri, 26 Apr 2024 11:39:08 GMT
• Title: Identical particles as a genuine non-local resource
• Authors: Pawel Blasiak, Marcin Markiewicz,
• Abstract summary: 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. This finding highlights the connection between the basic concept of particle indistinguishability and Bell non-locality.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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