[en] There is ongoing controversy about whether a coherent superposition of the occupied states of two fermionic modes should be regarded entangled or not, that is, whether its intrinsic quantum correlations are operationally accessible and useful as a resource. This has been questioned on the basis that such an entanglement cannot be accessed by local operations on individual modes due to the parity superselection rule which constrains the set of physical observables. In other words, one cannot observe violations of Bell's inequality. Here, we show, however, that entanglement of a two-mode fermionic state can be used as a genuine quantum resource in open-system thermodynamic processes, enabling one to perform tasks forbidden for separable states. We thus demonstrate that quantum thermodynamics can shed light on the nature of fermionic entanglement and the operational meaning of the different notions used to define it.
Disciplines :
Physique
Auteur, co-auteur :
PTASZYNSKI, Krzysztof ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) ; Institute of Molecular Physics, Polish Academy of Sciences, Mariana Smoluchowskiego 17, 60-179 Poznań, Poland
ESPOSITO, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Fermionic One-Body Entanglement as a Thermodynamic Resource.
Ministerstwo Edukacji i Nauki Foundational Questions Institute
Subventionnement (détails) :
K. P. is supported by the Scholarships of Minister of Science and Higher Education. This research was also supported by the FQXi Foundation, Project No. FQXi-IAF19-05.
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Here, for the sake of readability, we use a notation commonly used in quantum information to describe a system of two qubits; this is justified by the possibility of mapping a two-mode fermionic system onto a two-qubit system via Jordan-Wigner transformation. Accordingly, within this qubitlike notation, we use the standard tensor product symbol (Equation presented) to express the uncorrelated states of two subsystems.
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