Asymptotic Entanglement Hiding under Stabilizer Restrictions

• URL: http://arxiv.org/abs/2608.18440v1
• Date: Wed, 19 Aug 2026 02:11:51 GMT
• Title: Asymptotic Entanglement Hiding under Stabilizer Restrictions
• Abstract summary: Entment is central to quantum information processing, while stabilizer operations underpin fault-tolerant quantum computation.<n>We quantify stabilizer-visible entanglement by restricting measured relative entropy of entanglement stabilizer measurements.<n>These results reveal a fundamental separation between entanglement and magic as resources, exposing limits on entanglement extraction using stabilizer operations.
• Score: 13.402964582276113
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement is central to quantum information processing, while stabilizer operations underpin fault-tolerant quantum computation. We ask how much entanglement remains visible or distillable under stabilizer restrictions. We quantify stabilizer-visible entanglement by restricting the measured relative entropy of entanglement to stabilizer measurements, thereby obtaining converse bounds on entanglement distillation under stabilizer operations. We demonstrate magic-free asymptotic entanglement hiding: we construct explicit convex mixtures of pure stabilizer states on $N$ qutrits per party whose unrestricted visible entanglement and LOCC-distillable entanglement both grow as $Ω(N/\log N)$, while their stabilizer-visible and stabilizer-distillable entanglement vanish as $N\to\infty$. Thus, an unbounded amount of LOCC-distillable entanglement carried by stabilizer states can become asymptotically invisible and undistillable under stabilizer restrictions. We further prove that stabilizer-visible entanglement is $O(1)$ with high probability for Haar-random pure states despite extensive unrestricted visibility, and vanishes uniformly over entangled Werner states as the local dimension grows through odd primes. These results reveal a fundamental separation between entanglement and magic as resources, exposing intrinsic limits on entanglement extraction using stabilizer operations.

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