最小耦合与费曼的证明

Feynman Checkers with Absorption

We give a new elementary proof of the theorem by Ambainis et al. that for a quantum walk, the probability amplitudes of absorption at the initial point after 4n steps are proportional to the Catalan numbers. We also calculate the absorption probabilities at points close to the initial one for the first time.

Grover's Quantum Search Algorithm of Causal Multiloop Feynman Integrals

A proof-of-concept application of a quantum algorithm to multiloop Feynman integrals in the Loop-Tree Duality (LTD) framework is applied to a representative four-loop topology. Bootstrapping causality in the LTD formalism, is a suitable problem to address with quantum computers given the straightforward possibility to encode the two on-shell states of a propagator on the two states of a qubit. A modification of Grover's quantum search algorithm is developed and the quantum algorithm is successfully implemented on IBM Quantum and QUTE simulators.

Onsager不等式、Landau-Feynman定理和超流性

Onsager's Inequality, the Landau-Feynman Ansatz and Superfluidity

我们重新审视了由于Onsager的不等式，该不等式指出（量子）液体结构因子具有形式为（const）的上界。x |k|，对于波矢量k的模量不太大。这个不等式暗示了朗道判据在具有确定的非零临界速度的超流理论中的有效性。我们证明了一个辅助命题一般玻色系统，与此同时，我们到达一个严格的证明的不等式之一的相互作用玻色流体，Girardeau的模型的少数可溶性的例子。后一种证明证明了结构因子的热力学极限的重要性，该热力学极限最初必须取为不同于0的k。它也很好地证实了启发式密度泛函参数，这也被证明是完全在大波长的限制。我们还简要地讨论了哪些特点的证明可能存在于更高的维度，以及一些开放的问题有关的超流性的被困气体。

从 Feynman 和 von Neumann 的公理到受限 Feynman 路径积分：时间连续量子测量的数学理论

From each of Feynman's and von Neumann's postulates to the restricted Feynman path integrals: a mathematical theory of temporally continuous quantum measurements

本文严格证明了在简单近似下，Mensky 的受限 Feynman 路径积分可由 Feynman 量子化公理和 von Neumann 瞬时测量公理导出，并应用于自旋系统及多种量子效应的表述。

Wigner's friend, Feynman's paths and material records

The place and role of an Observer in quantum mechanics has been a subject of an ongoing debate since the theory's inception. Wigner brought this question to the fore in a celebrated scenario in which a super-Observer observes a Friend making a measurement. Here we briefly review why this \e{Wigner Friend scenario} has been taken to require the introduction of the Observer's consciousness, or alternatively to show the inconsistency of quantum measurement theory. We will argue that quantum theory can consistently leave observers outside its narrative, by making only minimal assumptions about how…

全同粒子量子规则的起源

On the Origin of the Quantum Rules for Identical Particles

我们提出了一个证明的对称性公设的特殊情况下，非相互作用，全同粒子。证明是在量子力学的费曼形式主义的背景下给出的，并且建立在Goyal，Knuth和Skilling的工作（Phys. Rev. A 81，022109（2010））的基础上，该工作显示了如何从关于实验的操作假设中导出费曼规则。我们的证明受到了Tikochinsky（Phys. Rev. A 37，3553（1988））试图导出这个结果的启发，但通过澄清主题的性质，通过改进符号，并通过避免强有力的抽象假设，如分析性，大大改进了他的论点。