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arXiv 2608.13881quant-phcond-mat.stat-mech

非正交态擦除作为表观第二定律违反背后的资源

Nonorthogonal-state erasure as the resource behind apparent second-law violations

Xinshu Xia, Hui Hui Qin, Yu-Han Ma, Chang-Pu Sun, Hui Dong

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中文总结 AI 辅助

该研究指出非正交态擦除是表观第二定律违反的资源,修正了此前认为非正交态区分可从单一热库提取功的错误认知,通过重新分析佩雷斯型西拉德引擎证实了这一结论。

中文摘要 AI 辅助

量子力学的线性与幺正结构禁止了非正交量子态的完美确定性区分。人们常假设,若能实现此类区分,它将成为从单一热库提取功的资源。我们证明该预期指向了错误的热力学操作,并证实这种假设操作会增大而非减小系统与探测器的联合熵。熵减资源实则是其逆操作,我们称之为非正交态擦除。通过重新分析佩雷斯型西拉德引擎,我们发现对于自旋态为|↑⟩与|→⟩的原子系综的等混合态,表观提取功为W_ext=0.2766k_BT。因此,表观第二定律违反并非由非正交态区分导致,而是由非正交量子态擦除提供的。

英文摘要

Perfect deterministic distinguishing of nonorthogonal quantum states is forbidden by the linear and unitary structure of quantum mechanics. It has often been assumed that, if such distinguishing were available, it would be the resource enabling work extraction from a single heat bath. We show that this expectation identifies the wrong thermodynamic operation and prove such hypothetical operation increases, rather than decreases, the joint entropy of system and detector. The entropy-decreasing resource is instead the inverse operation, which we call nonorthogonal-state erasure. Reanalyzing a Peres-type Szilard engine, we show that the apparent extracted work $W_{\mathrm{ext}}=0.2766k_{\mathrm{B}}T$ for an equal mixture of an atomic ensemble with spin state $\left|\uparrow\right\rangle $ and $\left|\rightarrow\right\rangle $. Thus the apparent second-law violation is supplied not by nonorthogonal-state distinguishing, but by a nonorthogonal quantum state erasure.

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