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离散因果粒度下量子信道容量的二阶渐近修正

Jiang C

Published Jul 23, 2026• 0 citations
Publisher

Abstract

本存档包含学术论文《离散因果粒度下量子信道容量的二阶渐近修正》的完整文稿与配套资料,具体包括论文 LaTeX 源文件、PDF 定稿、审稿人高频问题应答预案文档,以及数值仿真的 Python 源代码。 论文基于因果集序贯生长动力学框架展开研究,突破了标准量子香农理论隐含的连续时空背景假设,严格证明了有限因果粒度下量子信道的容量存在二阶平方压制效应,给出了修正系数的正定二次型表达式,并通过振幅阻尼信道与退极化信道的数值仿真验证了理论预言的正确性。

DOI
10.5281/zenodo.21504919

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本存档包含学术论文《离散因果粒度下量子信道容量的二阶渐近修正》的完整文稿与配套资料,具体包括论文 LaTeX 源文件、PDF 定稿、审稿人高频问题应答预案文档,以及数值仿真的 Python 源代码。 论文基于因果集序贯生长动力学框架展开研究,突破了标准量子香农理论隐含的连续时空背景假设,严格证明了有限因果粒度下量子信道的容量存在二阶平方压制效应,给出了修正系数的正定二次型表达式,并通过振幅阻尼信道与退极化信道的数值仿真验证了理论预言的正确性。
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This upload contains the manuscript, LaTeX source, and Python code for the paper: "Non-Orientable Topology in a Stabilizer Circuit: Experimental Demonstration of a Klein Bottle Quantum Error-Correcting Code" We report the first experimental implementation of a Klein bottle stabilizer code on superconducting quantum hardware. The code achieves a 138× enhancement of the predicted antipodal syndrome signature (44.2% frequency, Z=499σ) on IBM Fez, confirmed on three independent processors (IBM Fez, Marrakesh, Torino) and in four simultaneous parallel code instances. The code uses 25% fewer physical qubits than the square toric code at equivalent code distance. The Python code implements the Klein bottle stabilizer code on a 4×2 lattice, reproduces the antipodal signature from the initial 26.3% to the optimised 44.2%, and includes hardware verification across three processors and MWPM logical error rate simulation. All hardware job IDs are provided in the README for independent reproducibility. Contents: paper.pdf — manuscript latex/ — LaTeX source and figures code/ — Python scripts (circuit builder, verification, simulation) README.md — instructions and complete hardware job ID table All hardware experiments were performed on IBM Fez (Heron r2, 156 qubits) via IBM Quantum Runtime. The code is released under MIT license; the manuscript under CC BY 4.0.
本文提出“温和坍缩”诠释:态矢量是唯一的物理实在,不限于四维时空。我们经验 到的四维物理世界,是局域观察者花费熵,从态矢量中固定下来的一个分支。概 率是态矢量的内禀属性。其余可能性从未被局域固定一一它们不能再通过局域热 库产生可分辨的物理作用。该方案与多世界诠释在退相干完成后的介观尺度上给 出可区分的物理预期。本文论证,承认概率内禀与承认决定论因果性在单次事件 上的失效,是同一个本体论决断的两种等价表述。温和坍缩方案在公设经济性上 优于哥本哈根诠释,在本体论经济性上优于多世界诠释。
This archive accompanies the paper Architecture-Sensitive Noise Fingerprints in Classical Statistics of Quantum States. It contains the full manuscript, all figures appearing in the paper, and the Python scripts used to generate the numerical results. The project demonstrates that classical measurement statistics obtained from noisy quantum states retain reproducible, architecture-dependent structure. Even under standard local, Markovian noise models, simple low-order classical features—such as entropy, maximum probability, parity mass, and Hamming-weight distributions—encode diagnostic fingerprints of the underlying quantum state architecture. The analysis focuses on stabilizer states (including GHZ, cluster, and star graph states), fixed measurement bases, and exact probability distributions. No machine learning, optimisation, tomography, or state reconstruction is used. All results are generated using transparent, reproducible numerical simulations. The contents of this archive are: LaTeX source and compiled PDF of the manuscript All figures used in the paper (PDF/PNG) Python scripts for generating the figures and classical feature data A README describing structure and reproducibility This archive is intended to support transparency, reproducibility, and reuse of the results, and may serve as a lightweight reference for diagnostic approaches to quantum noise and state architecture.
拓扑信息论是一种强大的数学工具,为描述和分析拓扑结构提供了框架。该理论在量子计算领域具有潜在的应用,尤其是在量子纠错方面。本研究旨在探索利用拓扑信息论构建量子纠错机制,旨在提高纠错效率并降低纠错的复杂度。本文将阐述核心概念,提出一个基于拓扑结构的自适应纠错算法,并对该算法的潜在优势进行分析。 我们的研究重点在于将拓扑结构作为纠错的依据,从而实现更高效的量子纠错,并有望解决量子计算中常见的纠错难题。