arXiv:2510.05391quant-phcs.CL2025-10被引 1

用量子图示语言将贝尔态测量转化为音乐谱,实现互动式创作与表演。

Quantum Concept Music Score from Quantum Picturalism: Musical Incarnation of a Bell-Pair under Measurements

  • 基于量子图示学构建音乐符号系统,以关系为核心表达音乐概念
  • 可将量子纠缠态的测量过程直观转化为音乐谱,支持实时演奏
  • 适合跨学科研究者、实验音乐人及AI音乐生成开发者

我们开创了一种新的量子音乐语言与理论——量子概念音乐(QCM),其基础为范畴化量子力学(CQM)及其图示化形式量子图示学(QPict),依赖于ZX演算。该体系通过显式符号表示音乐创作、演奏与自动化之间的内在与外部关系。QCM能以直观、严格且机械的方式将量子现象直接转化为音乐作品。本文提出一种由演奏者模拟贝尔对测量的乐谱,并描述其现场演绎方式。相较于西方古典乐谱普遍采用线性表达、难以刻画音乐本质的局限,本方法强调音乐的根本关系维度。该量子技术不仅深刻影响创作,还直接作用于现场演出,同时为音乐自动化(如AI生成)提供新范式。整体上,我们建立了一个强大且高效的音乐形式体系,能捕捉音乐的交互本质,超越传统乐谱边界,适用于多种流派与方向。

原文摘要 · Abstract (English)

We initiate the development of a new language and theory for quantum music, to which we refer as Quantum Concept Music (QCM). This new music formalism is based on Categorical Quantum Mechanics (CQM), and more specifically, its diagrammatic incarnation Quantum Picturalism (QPict), which is heavily based on ZX-calculus. In fact, it is naturally inherited from CQM/QPict. At its heart is the explicit notational representation of relations that exist within and between the key concepts of music composition, performance, and automation. QCM also enables one to directly translate quantum phenomena into music compositions in a both intuitively obvious, rigorous and mechanical manner. Following this pattern, we propose a score for musicians interacting like a Bell-pair under measurement, and outline examples of how it could be live performed. While most of the Western classical music notation has heavily relied on linear representation of music - which does not always adequately capture the nature of music - our approach is distinct by highlighting the fundamental relational dimension of music. In addition, this quantum-based technique not only influences the music at the profound level of composition, but also has a direct impact on a live performance, and also provides a new template for automating music, e.g.~in the context of AI-generation. All together, we initiate the creation of new music formalism that is powerful and efficient in capturing the interactive nature of music, both in terms of internal and external interactions, and goes beyond the boundaries of Western classical music notation, which allows to use it in many different genres and directions.

量子音乐图示学音乐生成交互创作

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