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Minimal energy cost of entanglement extraction

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arxiv 1904.06246 v4 pith:UZZ74JYP submitted 2019-04-12 quant-ph gr-qchep-thmath-phmath.MP

Minimal energy cost of entanglement extraction

classification quant-ph gr-qchep-thmath-phmath.MP
keywords energyentanglementminimalcoststatedeltaextractionmodes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the minimal energy cost for extracting entanglement from the ground state of a bosonic or fermionic quadratic system. Specifically, we find the minimal energy increase $\Delta E_{\mathrm{min}}$ in the system resulting from replacing an entangled pair of modes, sharing entanglement entropy $\Delta S$, by a product state, and we show how to construct modes achieving this minimal energy cost. Thus, we obtain a protocol independent lower bound on the extraction of pure state entanglement from quadratic systems. Due to their generality, our results apply to a large range of physical systems, as we discuss with examples.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Energy Flux as an Entanglement Current in Moving-Mirror Radiation

    gr-qc 2026-07 conditional novelty 5.0

    In moving-mirror analog Hawking radiation, negative energy flux is correlated with entanglement growth between local detector modes and is interpreted as an information-return channel tied to partner-mode recovery.