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arXiv · 2512.09672

Pattern Based Stabilizer Tripware

Abstract

This paper introduces a quantum-classical hybrid key distribution protocol applicable to any stabilizer-based quantum error-correcting code. Named the Pattern-Based Stabilizer Tripwire, the framework embeds logical data directly within the commutation relationships of physical Pauli operators while masking the underlying qubit layout using a dynamic, secret automorphism group of physical permutations. This coordinate-frame alignment ensures a 100% sifting efficiency during normal operation without discarding transmission slots. However, any active interception by an eavesdropper introduces a destructive structural logical error. Because the adversary cannot align with the hidden spatial frame transformation, the receiver's look-up decoder is blinded by a mismatched syndrome. This architectural misalignment forces an uncorrectable 50% Quantum Bit Error Rate upon interception, converting subtle anomalies into a deterministic cryptographic tripwire. To secure private key generation, the algorithm utilizes a piece-wise conditional XOR framework to dynamically modulate data commutation relationships via public classical error syndromes. By executing an algebraic XOR operation that selectively fuses or withholds local channel noise syndromes and targeted, commutation-changing operator sub-vectors, the public classical channel functions as an information-theoretic blinding mask. Because these public syndromes consist of discrete, commuting error correction patches rather than non-commuting geometric basis frames ([M, S_total] = 0), the protocol enforces a strict classical information bottleneck on the adversary, completely neutralizing the threat of retroactive quantum memory or collective attacks. When combined with a chronological 50-50 channel split, privacy amplification efficiently compresses the fragmented data, achieving an absolute collapse of the adversary's mutual information to zero.

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BibTeXRIS

Mehedi Hasan Rumi. 2025-12-10. Pattern Based Stabilizer Tripware. https://arxiv.org/abs/2512.09672

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