Pith. sign in

REVIEW 13 cited by

The logarithmic negativity: A full entanglement monotone that is not convex

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv quant-ph/0505071 v2 pith:NZ2VD7LD submitted 2005-05-10 quant-ph

M.B. Plenio This is my paper · ORCID
classification quant-ph
keywords negativitylogarithmicoperationsaverageconvexconvexityincreaselocal
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

It is proven that the logarithmic negativity does not increase on average under positive partial transpose preserving (PPT) operation including subselection (a set of operations that incorporate local operations and classical communication (LOCC) as a subset) and, in the process, a further proof is provided that the negativity does not increase on average under the same set of operations. Given that the logarithmic negativity is obtained from the negativity applying a concave function and is itself not a convex quantity this result is surprising as convexity is generally considered as describing the local physical process of losing information. The role of convexity and in particular its relation (or lack thereof) to physical processes is discussed in this context.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 13 Pith papers

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

  1. Tensor invariants for multipartite entanglement classification

    math-ph 2026-04 accept novelty 7.5 of 10

    Trace-invariants of colored graphs fully label LU orbits of HT multipartite states, completely characterize their LO preorder via weight-function divisibility, and yield large-N combinatorial distinctions from Haar-ra...

  2. Logarithmic negativity typically equals exact entanglement cost

    quant-ph 2026-07 unverdicted novelty 6.0 of 10

    Logarithmic negativity equals exact entanglement cost under PPT-preserving operations for large random induced mixed states.

  3. Additivity of disjoint interval entanglement in quasiparticle excited states

    quant-ph 2026-01 conditional novelty 6.0 of 10

    For quasiparticle excited states with large momentum differences, double-interval reflected entropy, mutual information, and logarithmic negativity add: X_{K1∪K2} = X_{K1} + X_{K2}.

  4. Toward the Observation of Entangled Pairs in BEC analogue Expanding Universes

    gr-qc 2024-11 conditional novelty 6.0 of 10

    Repeated expansion-contraction cycles in a BEC analogue universe should make phonon-pair entanglement detectable at about 2 sigma now and above 3.3 sigma with modest upgrades.

  5. New quantum information perspectives in the axion--photon and neutrino systems

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    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.

  6. R\'enyi Entanglement of Purification and Half R\'enyi Reflected Entropy in Free Scalar Theory

    hep-th 2025-01 conditional novelty 5.0 of 10

    In a free scalar lattice model, numerical calculations show Rényi entanglement of purification is at least half the Rényi reflected entropy for 0 < n < 2 in the small subsystems tested.

  7. Mixed state entanglement in deformed field theory at finite temperature

    hep-th 2024-12 conditional novelty 5.0 of 10

    For a TTbar-deformed CFT at finite temperature, the EWCS and holographic entanglement negativity both decrease as the deformation parameter grows, just as they do when temperature increases.

  8. Black Hole Multi-Entropy Curves

    hep-th 2024-12 conditional novelty 5.0 of 10

    For a Haar-random model of an evaporating black hole, the q-partite Renyi multi-entropy of the black hole plus q-1 radiation subsystems peaks at a multi-entropy time later than the Page time and does not vanish at com...

  9. Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy

    hep-th 2024-11 conditional novelty 5.0 of 10

    Reflected entropy in T-bar-T-deformed AdS3/BCFT2 computed via island and defect extremal surface prescriptions agrees at leading order in the cutoff, and its Page curves show a discontinuity at the Page time.

  10. Open Quantum Entanglement: A study of two atomic system in static patch of de Sitter space

    hep-th 2019-08 reject novelty 5.0 of 10

    Using a two-atom open quantum system in de Sitter space, the authors claim to derive analytic entanglement dynamics and Bell inequality violation, but the derivation rests on an ad hoc imaginary-frequency condition.

  11. Charged Black Hole with String Cloud Deformation: Entanglement and Chaos

    hep-th 2025-07 conditional novelty 4.0 of 10

    In a charged AdS black hole with a string cloud, entanglement entropy and entanglement wedge cross-section increase with charge and backreaction, while mutual information and butterfly velocity decrease with charge.

  12. Holographic entanglement entropy and complexity for the cosmological braneworld model

    hep-th 2025-05 unverdicted novelty 3.0 of 10

    Time-dependent holographic entanglement entropy and complexity are computed perturbatively for braneworld FLRW universes with radiation, matter, and exotic matter by using time-dependent brane positions in black brane...

  13. Entanglement Certification $-$ From Theory to Experiment

    quant-ph 2019-06 unverdicted

    Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.

Pith tools