Spin chirality across quantum state copies detects hidden entanglement

• URL: http://arxiv.org/abs/2605.14515v1
• Date: Thu, 14 May 2026 07:59:40 GMT
• Title: Spin chirality across quantum state copies detects hidden entanglement
• Abstract summary: Entanglement can hide in two fundamentally different ways.<n> bound entangled states possess a positive partial transpose, which makes them invisible to the Peres-Horodecki criterion.<n>We show that the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement can hide in two fundamentally different ways. First, multi-copy correlations can carry information that no single-copy measurement on an unknown state is able to access. Second, bound entangled states possess a positive partial transpose, which makes them invisible to the Peres-Horodecki criterion and all moment inequalities that depend on it. Here we show that the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality -- the same quantity that governs chiral spin liquids and the topological Hall effect. This decomposition identifies the specific physical structure that multi-copy entanglement detection probes. Using the same controlled-SWAP circuits, we develop a multi-channel spectral classifier for bound entanglement. The classifier combines realignment spectral features with chirality corrections and achieves 99.9% recall at zero false positives across all three known 3x3 bound entangled families, compared with ~40% for the CCNR criterion alone. We also introduce a marginal-noise construction that produces CCNR-invisible bound entangled states, which the classifier detects but which remain invisible to all single-parameter criteria. We validate our approach experimentally on three IBM Quantum processors and demonstrate negativity reconstruction with mean errors of 0.002-0.027, chirality detection for pure and mixed entangled states, and bound entanglement detection across two structurally distinct families (Horodecki and chessboard) on a single gate-based superconducting processor.

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