REVIEW 4 cited by
Peres-Horodecki separability criterion for continuous variable systems
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
Peres-Horodecki separability criterion for continuous variable systems
read the original abstract
The Peres-Horodecki criterion of positivity under partial transpose is studied in the context of separability of bipartite continuous variable states. The partial transpose operation admits, in the continuous case, a geometric interpretation as mirror reflection in phase space. This recognition leads to uncertainty principles, stronger than the traditional ones, to be obeyed by all separable states. For all bipartite Gaussian states, the Peres-Horodecki criterion turns out to be necessary and sufficient condition for separability.
Forward citations
Cited by 4 Pith papers
-
Detecting entanglement of non-Gaussian continuous-variable states from single-copy homodyne measurements
A single-copy homodyne protocol estimates unbiased U-statistics for partial-transpose moments p2 and p3 to detect bipartite CV entanglement, with sample complexity O((N+1)^{14/3}/ε²) and demonstrations on six state families.
-
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.
-
Minimal noise in non-quantized gravity
Non-quantized gravity models that preserve Galilean invariance and reproduce Newtonian interaction on average require a minimal noise injection to remain non-entangling.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.