Quantum observer and Kolmogorov complexity: a model that can be tested

An alternative to test experimentally Everett's theory

It is generally accepted that Everett's theory of quantum mechanics cannot be experimentally tested as such experiment would involve operations on the observer which are beyond our current technology. We propose an alternative to test Everett's theory which does not involve any operation on the observer. If we assume that the observer is of finite dimension, it is shown that Everett's theory leads to distinctive properties for the system being observed, and that such difference can be experimentally tested.

Second-second moments and two observers testing quantum nonlocality

We show that rejection of local realism in quantum mechanics can be tested by Bell-type inequalities for two observers and low-order moments of continuous and unbounded observables. We prove that one requires three observables for each observer for a maximally entangled state and two observables for a non-maximally entangled state and write down appropriate inequalities and show violation by quantum examples. Finding an example for quadratures or position and momentum is left as an open problem.

External observer reflections on QBism

In this short review I present my personal reflections on QBism. I have no intrinsic sympathy neither to QBism nor to subjective interpretation of probability in general. However, I have been following development of QBism from its very beginning, observing its evolution and success, sometimes with big surprise. Therefore my reflections on QBism can be treated as "external observer" reflections. I hope that my view on this interpretation of quantum mechanics (QM) has some degree of objectivity. It may be useful for researchers who are interested in quantum foundations, but do not belong to the…

究竟是什么事实上证明了Bell型不等式的违反？

What in fact proves the violation of the Bell-type inequalities?

本文指出违反CHSH不等式的正确结论并非未测变量无定值，而是服从Kolmogorov公理的经典概率演算不适用于由概率幅主导的量子形式体系。

利用变分量子 Kolmogorov-Arnold 网络求解旅行商问题的方法提案

Solving the traveling salesman problem on $\lceil \log_2 (N-1)! \rceil$ qubits with a variational quantum Kolmogorov--Arnold network: exact-gradient CVaR training and generalization over time-dependent graphs

针对 TSP 的 NP 难特性及通用量子计算机量子比特受限问题，提出基于 VQKAN 的求解方法，减少量子比特需求，并验证其可优化部分路径长度随时间变化的图。

稀疏化Kolmogorov-Arnold网络用于可解释量子态层析

Sparsified Kolmogorov-Arnold Networks for Interpretable Quantum State Tomography

研究利用稀疏化Kolmogorov-Arnold网络作为可检查的重构规则，通过三量子比特GHZ基准测试，识别出与GHZ相关的Pauli测量集，并揭示与解析GHZ Pauli分组一致的输入-隐藏-输出通路结构，实现神经网络重构模型的结构可解释性。