不对称性的实验催化放大

渐近与催化变换中量子相干的任意放大

Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation

本文证明在渐近与催化变换两种操作设定下，任意低相干态均可任意好地转换为任意高相干态，且催化剂可将相干蒸馏速率从零提升至无限，揭示了相干资源理论区别于纠缠与量子热力学的独特性质。

Coherence and asymmetry cannot be broadcast

In the presence of conservation laws, superpositions of eigenstates of the corresponding conserved quantities cannot be generated by quantum dynamics. Thus, any such coherence represents a potentially valuable resource of asymmetry, which can be used, for example, to enhance the precision of quantum metrology or to enable state transitions in quantum thermodynamics. Here we ask if such superpositions, already present in a reference system, can be broadcast to other systems, thereby distributing asymmetry indefinitely at the expense of creating correlations. We prove a no-go theorem showing tha…

催化量子纠错：理论、高效催化剂制备与数值基准

Catalytic Quantum Error Correction: Theory, Efficient Catalyst Preparation, and Numerical Benchmarks

本文提出催化量子纠错（CQEC）方法，通过高效催化剂制备在无误差幅度阈值的情况下实现高保真度纠错，显著降低复制需求。

From clocks to cloners: Catalytic transformations under covariant operations and recoverability

There are various physical scenarios in which one can only implement operations with a certain symmetry. Under such restriction, a system in a symmetry-breaking state can be used as a catalyst, e.g. to prepare another system in a desired symmetry-breaking state. This sort of (approximate) catalytic state transformations are relevant in the context of (i) state preparation using a bounded-size quantum clock or reference frame, where the clock or reference frame acts as a catalyst, (ii) quantum thermodynamics, where again a clock can be used as a catalyst to prepare states which contain coherenc…

通过临界点的非绝热通道引起的对称性放大

Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point

提出并求解一个无耗散、存在对称性破缺相互作用的最小模型，将Painleve'-2方程推广到多自由度并保持可积性，揭示无论破缺参数多弱，演化终致高度不对称，为准粒子产生中的强不对称提供机制，并给出非绝热激发准粒子密度的精确标度指数。

Amplifying asymmetry with correlated catalysts

We investigate the basic constraint on amplifying the asymmetry in quantum states with correlated catalysts. Here a correlated catalyst is a finite-dimensional auxiliary, which exactly preserves its reduced state while allowed to become correlated to the quantum system. Interestingly, we prove that under translationally invariant operations, catalysts in pure states are useless in any state transformation, while with a correlated catalyst in a mixed state, one can enlarge the set of accessible states from an initially asymmetric state. Moreover, we show that the power of a catalyst increases w…