Is Quantum Mechanics An Island In Theoryspace?

BQP_p = PP for integer p > 2

There's something really strange about quantum mechanics. It's not just that cats can be dead and alive at the same time, and that entanglement seems to violate the principle of locality; quantum mechanics seems to be what Aaronson calls "an island in theoryspace", because even slight perturbations to the theory of quantum mechanics seem to generate absurdities. In [Aar 04] and [Aar 05], he explores these perturbations and the corresponding absurdities in the context of computation. In particular, he shows that a quantum theory where the measurement probabilities are computed using p-norm inst…

纠缠岛与渐近安全量子引力中黑洞的热力学

Entanglement Islands and Thermodynamics of the Black Hole in Asymptotically Safe Quantum Gravity

本研究通过引入纠缠岛解决黑洞辐射熵悖论，揭示了渐近安全量子引力中黑洞热力学性质及信息守恒机制。

Quantum master equation descriptions of a nanomechanical resonator coupled to a single-electron transistor

We analyse the quantum dynamics of a nanomechanical resonator coupled to a normal-state single-electron transistor (SET). Starting from a microscopic description of the system, we derive a master equation for the SET island charge and resonator which is valid in the limit of weak electro-mechanical coupling. Using this master equation we show that, apart from brief transients, the resonator always behaves like a damped harmonic oscillator with a shifted frequency and relaxes into a thermal-like steady state. Although the behaviour remains qualitatively the same, we find that the magnitude of t…

我们能从量子信息论中学到关于岛屿和状态悖论的什么？

What can we learn about islands and state paradox from quantum information theory?

本文从量子信息论出发，通过 qubit 模型对纠缠岛屿进行解释，将黑洞信息悖论与量子力学测量问题类比，指出即使信息丢失仍可实现 Page 曲线，并论证了该解释对体重建的必要性。

量子力学的测量公设并非冗余

The measurement postulates of quantum mechanics are not redundant

本研究反驳了量子力学测量公设可由结构公设加态估计假设推导的观点，通过反例证明相关假设的局限性，指出量子力学可扩展非POVM测量规则，其存在性需经验验证。

反对（量子力学的）幺正诠释：去除形而上学负担

Against (unitary) interpretation (of quantum mechanics): removing the metaphysical load

本文基于海森堡的可观测事件立场与退相干理论，主张量子力学只描述实验室事件并由 Born 规则给出概率，而幺正量子力学因包含不可检验预测，仅是形而上学诠释。