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.
Inseparability criterion for continuous variable systems
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abstract
An inseparability criterion based on the total variance of a pair of Einstein-Podolsky-Rosen type operators is proposed for continuous variable systems. The criterion provides a sufficient condition for entanglement of any two-party continuous variable states. Furthermore, for all the Gaussian states, this criterion turns out to be a necessary and sufficient condition for inseparability.
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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.
Proposes using hemispherical projections to reduce continuous momenta to qubits and Monte Carlo simulation of tau lepton production at electron colliders to assess phase-space non-separability via EPR correlations.
citing papers explorer
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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.
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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.
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Entanglement and non-separability of momenta and coordinates at colliders
Proposes using hemispherical projections to reduce continuous momenta to qubits and Monte Carlo simulation of tau lepton production at electron colliders to assess phase-space non-separability via EPR correlations.