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•Smooth crossover:The formula interpolates smoothly between the early-time regime (y≪1, whereκ≈1 + 2y 2) and the asymptotic regime (y≫1, whereκ≈4y 2)

Exact Condition Number Formula The condition number follows immediately: κ(U)(t) = σ+ σ− = p 1 +y(t) 2 +y(t) 2 = exp(2 asinh(y(t))) (S17) This exact result, valid for allt≥0, has s

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Precision-Induced Irreversibility in non-Hermitian systems

quant-ph · 2026-03-23 · unverdicted · novelty 6.0

Non-Hermitian systems exhibit irreversibility due to finite precision, amplification, and non-normality-induced mode mixing, creating a predictability horizon T_of without decoherence or nonlinearity.

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  • Precision-Induced Irreversibility in non-Hermitian systems quant-ph · 2026-03-23 · unverdicted · none · ref 43

    Non-Hermitian systems exhibit irreversibility due to finite precision, amplification, and non-normality-induced mode mixing, creating a predictability horizon T_of without decoherence or nonlinearity.