(B7) Using the same formulation as in Appendix B 1, we ob- tain ∆k,k′(t, t′) = ⟨tr [LkU (t, t′) {Lk′ψt′ − ψt′tr(Lk′ψt′)}]⟩ , (B8) where ψt′ ≡ ρc(t′)

Calculation of the correction termδ To evaluate the correction term, it is necessary to calculate ⟨J Λ,2 τ Z ζ τ ⟩: ⟨J Λ,2 τ Z ζ τ ⟩ = Z τ 0 dt Z t 0 dt′ X k,k′ Λk(t)ζk′(t′)∆k,k′

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A unified framework for classical and quantum uncertainty relations using stochastic representations

cond-mat.stat-mech · 2024-12-06 · conditional · novelty 7.0

A single stochastic-representation framework reproduces classical TURs and KURs and yields new quantum TURs and KURs that avoid the coherence term and tighten in strongly driven regimes.

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A unified framework for classical and quantum uncertainty relations using stochastic representations cond-mat.stat-mech · 2024-12-06 · conditional · none · ref 5
A single stochastic-representation framework reproduces classical TURs and KURs and yields new quantum TURs and KURs that avoid the coherence term and tighten in strongly driven regimes.

(B7) Using the same formulation as in Appendix B 1, we ob- tain ∆k,k′(t, t′) = ⟨tr [LkU (t, t′) {Lk′ψt′ − ψt′tr(Lk′ψt′)}]⟩ , (B8) where ψt′ ≡ ρc(t′)

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