Quantifying Algebraic Asymmetry of Hamiltonian Systems

Quantifying resources for Page-Wootters mechanism: Shared asymmetry as relative entropy of entanglement

Recently, some attention has been given to the so-called Page-Wootters mechanism of quantum clocks. Among the various proposals to explore the mechanism using more modern techniques, some have chosen to use a quantum information perspective, defining and using informational measures to quantify how well a quantum system can stand as a reference frame for other quantum system. In this work, we explore the proposal based on resource theory of asymmetry, known as mutual or shared asymmetry, which actually is equivalent to the approach from coherence theory in the case of interest here: quantum re…

Quantifying quantum reference frames in composed systems: local, global and mutual asymmetries

The Page-Wootters mechanism questioned the fundamental nature of time in quantum physics. The mechanism explored the notion that a given physical quantity is always defined and measured relative to a reference frame, in general, not explained in the theoretical description of quantum physical experiments. Recently, the resource theory of asymmetry deals explicitly with what are the physical conditions for a quantum system to serve as a good reference frame. Nonetheless, to quantify a quantum reference frame in relation to another one it is a important task to establish an internal description …

量化测量客观性：一种回溯预测方法

Quantifying Measurement Objectivity: A Retrodictive Approach

该研究针对量子测量结果何时可解读为揭示预先存在的客观属性的问题，提出基于量子测量回溯预测的定量方法，构造量化非客观性的双线性型并证明其分解性质，得出总非客观性在特定映射下不降低的结论。

Extending Noether's theorem by quantifying the asymmetry of quantum states

Noether's theorem is a fundamental result in physics stating that every symmetry of the dynamics implies a conservation law. It is, however, deficient in several respects: (i) it is not applicable to dynamics wherein the system interacts with an environment, and (ii) even in the case where the system is isolated, if the quantum state is mixed then the Noether conservation laws do not capture all of the consequences of the symmetries. To address these deficiencies, we introduce measures of the extent to which a quantum state breaks a symmetry. Such measures yield novel constraints on state tran…