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Separability Criterion for Density Matrices

Mixed citation behavior. Most common role is background (67%).

12 Pith papers citing it
Background 67% of classified citations
abstract

A quantum system consisting of two subsystems is separable if its density matrix can be written as $\rho=\sum_A w_A\,\rho_A'\otimes\rho_A''$, where $\rho_A'$ and $\rho_A''$ are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of $\rho$, has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.

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UNVERDICTED 12

representative citing papers

Minimal noise in non-quantized gravity

quant-ph · 2026-03-27 · unverdicted · novelty 7.0

Non-quantized gravity models that preserve Galilean invariance and reproduce Newtonian interaction on average require a minimal noise injection to remain non-entangling.

Tripartite Entanglement in $e^+ e^- \to t \bar{t} Z$

hep-ph · 2026-06-09 · unverdicted · novelty 6.0

Computes entanglement negativities for the tripartite spin system in e+e- -> ttZ and projects that collective entanglement is accessible but genuine multipartite entanglement has limited sensitivity at a polarized ILC with expected luminosity.

Genuine multientropy, dihedral invariants and Lifshitz theory

hep-th · 2025-08-30 · unverdicted · novelty 6.0

Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripartite pure states.

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.

Witnessing entanglement between photon and matter due to graviton exchange

quant-ph · 2026-04-27 · unverdicted · novelty 6.0

A PPT witness criterion is proposed to detect graviton-mediated entanglement between photons and matter qubits, attaining a maximal negativity of -0.052 for non-maximally entangled states when the photon coherent-state overlap satisfies 0.71 ≤ |γ| < 1.

Separability from Multipartite Measures

quant-ph · 2026-05-03 · unverdicted · novelty 5.0 · 2 refs

Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.

Understanding Bell locality tests at colliders

hep-ph · 2026-03-19 · unverdicted · novelty 4.0

Under mild assumptions, local hidden variable theories become testable at colliders and can be disproved via Bell-like inequalities for muon and tau pairs.

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Showing 12 of 12 citing papers.