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.
An invitation to quantum tomography
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abstract
We describe quantum tomography as an inverse statistical problem and show how entropy methods can be used to study the behaviour of sieved maximum likelihood estimators. There remain many open problems, and a main purpose of the paper is to bring these to the attention of the statistical community.
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quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.