REVIEW 15 cited by
Separability of Mixed States: Necessary and Sufficient Conditions
Not yet reviewed by Pith; the record is open.
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
Separability of Mixed States: Necessary and Sufficient Conditions
read the original abstract
We provide necessary and sufficient conditions for separability of mixed states. As a result we obtain a simple criterion of separability for $2\times2$ and $2\times3$ systems. Here, the positivity of the partial transposition of a state is necessary and sufficient for its separability. However, it is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.
Forward citations
Cited by 15 Pith papers
-
Automated computation of spin-density matrices and quantum observables for collider physics
An automated framework in MadGraph5_aMC@NLO computes tree-level production spin-density matrices and quantum observables for generic collider processes, with validation on ttbar and VV and new applications to multi-to...
-
Witness robustness: An operational quantifier of measurement resources via free state discrimination
The witness robustness of a measurement equals the maximum advantage it gives over free measurements in discriminating free-state ensembles, plus one.
-
Logarithmic negativity typically equals exact entanglement cost
Logarithmic negativity equals exact entanglement cost under PPT-preserving operations for large random induced mixed states.
-
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.
-
Quantum spin correlations in $Z^\prime$-mediated $t\bar{t}$ production at future lepton colliders
Quantum spin observables of t-bar-t pairs at future lepton colliders can distinguish chiral U(1)_X Z′ charge assignments, and polarized e−e+ beams isolate left- vs right-handed lepton couplings.
-
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.
-
Controlling Quantum discord and steering in Electron-Positron Annihilation Using Polarized Beams
Polarized lepton beams control quantum discord and steering in hyperon-antihyperon pairs from e+e- annihilation, with discord persisting in separable states via transverse polarization.
-
Separability from Multipartite Measures
Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.
-
Bipartite entanglement harvesting with multiple detectors
Multiple Unruh-DeWitt detectors harvest more vacuum entanglement when arranged in specific configurations, with harvested negativity scaling linearly in linear chains.
-
Entanglement redistribution of hyperon-antihyperon pair via sequential decay
In e+e−→ψ→Ξ(→Λπ)Ξ̄(→Λ̄π), the ΛΛ̄ pair's concurrence and negativity can decrease relative to the mother pair yet stay nonzero except at θ=0 and π, while quantum discord can always increase.
-
Manipulating Bell nonlocality and entanglement in polarized electron-positron annihilation
Polarized lepton beams can tune hyperon-antihyperon entanglement and Bell nonlocality, with transverse polarization capable of producing maximally entangled pairs.
-
Partner-mode overlap as a symplectic-invariant measure of correlations in Gaussian quantum field theories
Two bosonic Gaussian modes are entangled if and only if the symmetrized overlap of each mode with the other's purification partner exceeds a threshold D_c set by the purities of the modes.
-
On the existence of fully inseparable biseparable Gaussian states
Numerical evidence from projections and witnesses on specific Gaussian families leads to the conjecture that full inseparability implies genuine multipartite entanglement for all Gaussian states.
-
Separability from Multipartite Measures
Third-order negativity provides a necessary and sufficient criterion for full separability of tripartite pure states, with generalizations to mixed states, qudits, and an application to conformal field theory.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.