Lower Bounds on Pauli Manipulation Detection Codes

April 01, 2025 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Keiya Ichikawa, Kenji Yasunaga arXiv ID 2504.00357 Category quant-ph: Quantum Computing Cross-listed cs.CR, cs.IT Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
We present a lower bound for Pauli Manipulation Detection (PMD) codes, which enables the detection of every Pauli error with high probability and can be used to construct quantum erasure and tamper-detection codes. Our lower bound reveals the first trade-off between the error and the redundancy parameters in PMD codes.
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