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This study establishes a fundamental mathematical boundary for quantum decoherence, proving that stable phase noise mechanisms fail when driven by continuous time α-stable processes beyond an exponent of two. By defining precise limits on how long quantum systems retain predictability under specific Lévy process models, the research provides critical parameters for assessing environmental interactions and designing robust quantum hardware.
Researchers Bound Decoherence Exponent at Alpha Equals Two
A system’s coherence, its ability to exist in multiple states at once, vanishes when driven by continuous time α-stable processes beyond an exponent of two. Simulations reveal that truncated stable laws with indices of 0. 5, 1, 1.
Coherences between charge sectors now decay at rates governed by a power law with an exponent $0 < α ≤$2, precisely defined by Milen V. Velev and Ivo D. Dinov from Burgas State University and the University of Michigan. Complete positivity for any finite real spectrum occurs when this condition holds; values above two obstruct stable decoherence mechanisms as confirmed by numerical checks defining precise limits on phase noise stability. Precise limits on how long quantum systems retain predictable…
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