A Bank supplies GHZ or W-class entanglement to restore deterministic perfect teleportation from non-maximally entangled pairs via measurement-broadcast or transfer models.
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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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Permutation defects between wavefunction replicas yield multipartite entanglement measures that capture the chiral central charge from bulk states in chiral topological phases.
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
Covariance matrices for finite-dimensional DFT-related position-momentum pairs are fully characterized via unitary invariants, convex geometry, and SDP, yielding extremal states and application bounds.
Introduces absolute Schmidt number for states invariant under global unitaries, with witness and moment-based detection methods plus resource measures, extended to covariant channels.
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.
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.
Analytical bounds on negativity and Schmidt number are obtained from subsets of density-matrix eigenvalues via linear maps and inverses.
Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the geodesic network.
Axion-photon oscillations generate bipartite mode entanglement with maximal values at resonance, and quantum speed limits are derived for both axion-photon and neutrino systems.
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.
A comprehensive review organizing progress at the AI-quantum information intersection from both directions.
A review surveying coupling mechanisms in superconducting qubit-mechanical resonator hybrids and their extension to optomechanical architectures for quantum sensing applications.
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.
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Separability and entanglement of resonating valence-bond states
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.