Out-of-equilibrium inverse temperature is defined as the coordinate of a canonical flow that preserves the state's energy-coherence leaf, and it generically differs from the entropy derivative.
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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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A Bank supplies GHZ or W-class entanglement to restore deterministic perfect teleportation from non-maximally entangled pairs via measurement-broadcast or transfer models.
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.
The initialization-free Bernstein-Vazirani algorithm's optimal success probability is derived in closed form, with a necessary and sufficient condition for maximal performance and a proof of advantage over the standard probabilistic version.
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.
Linear maps and their inverses yield compact spectral criteria that upper-bound negativity and Schmidt number of full-rank bipartite states under any global unitary.
Derives exact negativity expressions, survival fractions, and sudden-death thresholds for coherence-to-entanglement conversion under four post-gate noise channels in CNOT protocols, plus a master relation for X-state-preserving channels.
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.
citing papers explorer
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Temperature Beyond Equilibrium in Isolated Quantum Many-Body Systems and Their Subsystems
Out-of-equilibrium inverse temperature is defined as the coordinate of a canonical flow that preserves the state's energy-coherence leaf, and it generically differs from the entropy derivative.
-
Assisted quantum teleportation
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
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
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
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The uncertainty geometry of finite-dimensional position and momentum
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.
-
Absolute Schmidt number: characterization, detection and resource-theoretic quantification
Introduces absolute Schmidt number for states invariant under global unitaries, with witness and moment-based detection methods plus resource measures, extended to covariant channels.
-
Quantum Resources and Performance in the Initialization-Free Bernstein-Vazirani Algorithm
The initialization-free Bernstein-Vazirani algorithm's optimal success probability is derived in closed form, with a necessary and sufficient condition for maximal performance and a proof of advantage over the standard probabilistic version.
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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.
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Entanglement Requirements for Coherent Enhancement in Detectors
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.
-
Bounding the entanglement of a state from its spectrum
Linear maps and their inverses yield compact spectral criteria that upper-bound negativity and Schmidt number of full-rank bipartite states under any global unitary.
-
Analytic Benchmarks for Coherence-to-Entanglement Conversion under Post-Gate Noise in CNOT-Based Protocols
Derives exact negativity expressions, survival fractions, and sudden-death thresholds for coherence-to-entanglement conversion under four post-gate noise channels in CNOT protocols, plus a master relation for X-state-preserving channels.
-
Multi-entropy in heavy local quenches
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.
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New quantum information perspectives in the axion--photon and neutrino systems
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.
-
Fully Quantum Computational Entropies
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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When AI meets quantum information: A comprehensive review
A comprehensive review organizing progress at the AI-quantum information intersection from both directions.
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Fundamentals and Applications of Hybrid Electro- and Opto-mechanical system coupled to Superconducting Qubit: A Short Review
A review surveying coupling mechanisms in superconducting qubit-mechanical resonator hybrids and their extension to optomechanical architectures for quantum sensing applications.
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Lectures on entanglement entropy in field theory and holography
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
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Entanglement Certification $-$ From Theory to Experiment
Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.