Locality and entanglement of indistinguishable particles
- URL: http://arxiv.org/abs/2107.13911v1
- Date: Thu, 29 Jul 2021 11:41:11 GMT
- Title: Locality and entanglement of indistinguishable particles
- Authors: Till Jonas Frederick Johann, Ugo Marzolino
- Abstract summary: Entanglement is one of the strongest quantum correlation.
There are five inequivalent approaches to entanglement of indistinguishable particles.
We prove that three of the aforementioned five entanglement definitions are incompatible with any locality notion defined as above.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Entanglement is one of the strongest quantum correlation, and is a key
ingredient in fundamental aspects of quantum mechanics and a resource for
quantum technologies. While entanglement theory is well settled for
distinguishable particles, there are five inequivalent approaches to
entanglement of indistinguishable particles. We analyse the different
definitions of indistinguishable particle entanglement in the light of the
locality notion. This notion is specified by two steps: i) the identification
of subsystems by means of their local operators; ii) the requirement that
entanglement represent correlations between the above subsets of operators. We
prove that three of the aforementioned five entanglement definitions are
incompatible with any locality notion defined as above.
Related papers
- Quantum Chaos on Edge [36.136619420474766]
We identify two different classes: the near edge physics of sparse'' and the near edge of dense'' chaotic systems.
The distinction lies in the ratio between the number of a system's random parameters and its Hilbert space dimension.
While the two families share identical spectral correlations at energy scales comparable to the level spacing, the density of states and its fluctuations near the edge are different.
arXiv Detail & Related papers (2024-03-20T11:31:51Z) - Embezzling entanglement from quantum fields [41.94295877935867]
Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system.
We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras.
arXiv Detail & Related papers (2024-01-14T13:58:32Z) - Three-body Entanglement in Particle Decays [0.0]
We introduce a novel approach for three-particle systems by utilising the principles of entanglement monotone concurrence and the monogamy property.
This work paves the way for new insights into particle physics through multi-particle quantum entanglement, particularly in decays of heavy fermions and hadrons.
arXiv Detail & Related papers (2023-10-02T18:00:00Z) - Quantum ensembles and the statistical operator: a tutorial [0.0]
This tutorial is to elucidate in details what should be meant by ensemble of states in quantum mechanics.
We review the notion and the definition of quantum ensemble as well as its relationships with the concept of statistical operator in quantum mechanics.
arXiv Detail & Related papers (2022-12-26T07:12:52Z) - Biorthogonal resource theory of genuine quantum superposition [0.0]
We introduce a pseudo-Hermitian representation of the density operator, wherein its diagonal elements correspond to biorthogonal extensions of Kirkwood-Dirac quasi-probabilities.
This representation provides a unified framework for the inter-basis quantum superposition and basis state indistinguishability, giving rise to what we term as textitgenuine quantum superposition.
arXiv Detail & Related papers (2022-10-05T17:17:37Z) - Physical interpretation of nonlocal quantum correlation through local
description of subsystems [19.542805787744133]
We propose the physical interpretation of nonlocal quantum correlation between two systems.
Different nonlocal quantum correlations can be discriminated from a single uncertainty relation derived under local hidden state (LHS)-LHS model only.
arXiv Detail & Related papers (2022-10-01T10:13:40Z) - Genuine multipartite entanglement and quantum coherence in an
electron-positron system: Relativistic covariance [117.44028458220427]
We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts.
A given combination of these quantum resources is shown to form a Lorentz invariant.
arXiv Detail & Related papers (2021-11-26T17:22:59Z) - Quantum coherence with incomplete set of pointers and corresponding
wave-particle duality [0.0]
Quantum coherence quantifies the amount of superposition in a quantum system.
We develop the corresponding resource theory, identifying the free states and operations.
We obtain a complementarity relation between the so-defined quantum coherence and the which-path information in an interferometric set-up.
arXiv Detail & Related papers (2021-08-12T16:55:40Z) - Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
Two particles are identical if all their intrinsic properties, such as spin and charge, are the same.
Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles.
We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
arXiv Detail & Related papers (2021-05-10T13:11:59Z) - Entanglement in indistinguishable particle systems [0.0]
Indistinguishability of identical particles hinders their individual addressability and has prompted diverse, sometimes discordant definitions of entanglement.
We show that only the latter approach is consistent with all three criteria, each of the others indeed violating at least one of them.
arXiv Detail & Related papers (2020-07-13T09:07:27Z) - Emergence of classical behavior in the early universe [68.8204255655161]
Three notions are often assumed to be essentially equivalent, representing different facets of the same phenomenon.
We analyze them in general Friedmann-Lemaitre- Robertson-Walker space-times through the lens of geometric structures on the classical phase space.
The analysis shows that: (i) inflation does not play an essential role; classical behavior can emerge much more generally; (ii) the three notions are conceptually distinct; classicality can emerge in one sense but not in another.
arXiv Detail & Related papers (2020-04-22T16:38:25Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.