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Monogamy of entanglement and other correlations

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arxiv quant-ph/0310037 v1 pith:U5HIGRPX submitted 2003-10-06 quant-ph

Monogamy of entanglement and other correlations

classification quant-ph
keywords entanglementmonogamyotherbeencorrelationmeasuresnaturesystem
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It has been observed by numerous authors that a quantum system being entangled with another one limits its possible entanglement with a third system: this has been dubbed the "monogamous nature of entanglement". In this paper we present a simple identity which captures the trade-off between entanglement and classical correlation, which can be used to derive rigorous monogamy relations. We also prove various other trade-offs of a monogamy nature for other entanglement measures and secret and total correlation measures.

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Cited by 3 Pith papers

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  1. Dynamical Casimir Effect and Vacuum Friction in the Near-Horizon Geometry of a Black Hole

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  2. Entanglement inequalities, black holes and the architecture of typical states

    hep-th 2025-11 unverdicted novelty 6.0

    Typical states in large-N holographic CFTs exhibit UV and IR length scales set by energy and charges, producing factorization that isolates black holes via a corona of saturated entanglement wedges and extends ETH to ...

  3. Dynamical Casimir Effect and Vacuum Friction in the Near-Horizon Geometry of a Black Hole

    gr-qc 2026-05 unverdicted novelty 5.0

    In the near-horizon geometry of a black hole, the dynamical Casimir effect is suppressed by a conformal geometric factor and vanishing effective Mach number, causing the transition probability to vanish at the event horizon.