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An introduction to entanglement measures

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abstract

We review the theory of entanglement measures, concentrating mostly on the finite dimensional two-party case. Topics covered include: single-copy and asymptotic entanglement manipulation; the entanglement of formation; the entanglement cost; the distillable entanglement; the relative entropic measures; the squashed entanglement; log-negativity; the robustness monotones; the greatest cross-norm; uniqueness and extremality theorems. Infinite dimensional systems and multi-party settings will be discussed briefly.

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UNVERDICTED 12

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representative citing papers

Assisted quantum teleportation

quant-ph · 2026-05-17 · unverdicted · novelty 7.0

A Bank supplies GHZ or W-class entanglement to restore deterministic perfect teleportation from non-maximally entangled pairs via measurement-broadcast or transfer models.

Probing chiral topological states with permutation defects

quant-ph · 2025-12-04 · unverdicted · novelty 7.0

Permutation defects between wavefunction replicas yield multipartite entanglement measures that capture the chiral central charge from bulk states in chiral topological phases.

A resource theory of asynchronous quantum information processing

quant-ph · 2025-04-17 · unverdicted · novelty 7.0

Introduces resource theories for asynchronous port-based teleportation with free classical and quantum pre-processing, computes tight fidelity bounds for isotropic, graph, and symmetrized EPR states, and proves the strongest model equals any one-way protocol in surpassing the classical teleportation

Separability and entanglement of resonating valence-bond states

cond-mat.str-el · 2022-12-22 · unverdicted · novelty 6.0

Proves exact separability for disconnected subsystems in dimer RK states and exponentially suppressed entanglement for RVB states on arbitrary lattices, with negativity expressed via partition functions.

Entanglement Requirements for Coherent Enhancement in Detectors

hep-ph · 2026-05-08 · unverdicted · novelty 6.0

Coherent enhancement in detectors is quantitatively constrained by single-mode entanglement entropy, with general bounds on scaling with system size that interpolate between incoherent and fully coherent regimes.

Fully Quantum Computational Entropies

quant-ph · 2025-06-16 · unverdicted · novelty 5.0

Authors introduce quantum computational min- and max-entropies with properties including data processing and chain rules, plus an operational link to bounded-circuit entanglement distillation.

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Showing 12 of 12 citing papers.