论文标题
不可能的定理将情境性扩展到干扰系统
Impossibility Theorem for Extending Contextuality to Disturbing Systems
论文作者
论文摘要
最近，人们对将上下文的定义扩展到有干扰的系统方面引起了人们的兴趣和令人印象深刻的进步。我们在这里证明，这样的努力不能同时满足以下核心背景性原则：（1）测量更多信息不能将上下文系统更改为非上下文。 （2）经典后处理不能创建上下文：附加给定可观察到的函数的新可观察到无法将非秘密系统更改为上下文。 （3）两个在统计上独立的非上下文系统的联合实现是非副本。 （4）确定论无法创建上下文性：任何确定性系统都是非秘密的，并且将确定性可观察物添加到非秘密系统无法产生上下文。在原理4的更强版本下，我们还证明了没有原理3的相同结果。此外，我们的结果适用于仅适用于二元可观察系统系统的限制上下文性扩展。除了这些证据外，我们还分析了一些特定的建议，并确定他们服从哪些公理以及侵犯了哪些公理。
Recently there has been interest, and impressive progress, in extending the definition of contextuality to systems with disturbance. We prove here that such an endeavor cannot simultaneously satisfy the following core principles of contextuality: (1) Measuring more information cannot change a contextual system to a noncontextual one. (2) Classical post-processing cannot create contextuality: appending new observables that are functions of given observables cannot change a noncontextual system to a contextual one. (3) The joint realization of two statistically independent noncontextual systems is noncontextual. (4) Determinism cannot create contextuality: Any deterministic system is noncontextual, and adding deterministic observables to a noncontextual system cannot yield a contextual one. We also prove the same result without Principle 3, under the stronger version of Principle 4. Moreover, our results hold for restricted extensions of contextuality that apply only to systems of binary observables. In addition to these proofs, we analyze several particular proposals and identify which of our axioms they obey and which they violate.
