Ozawa的主体间性定理作为对QBism个体agent视角的反对意见
Ozawa's Intersubjectivity Theorem as objection to QBism individual agent perspective
AI总结:
本文指出Ozawa的主体间性定理与QBism的个人结果观点相悖,通过区分精确与噪声量子可观测量(PVM与POVM),论证QBism需更新原则,并探讨其对哥本哈根诠释的影响。
摘要:
QBism的基本陈述“可观测量的测量结果是个人的”与Ozawa的主体间性定理(OIT)直接相悖。后者(在量子形式主义内被证明)指出,两个观察者,即QBism术语中的agent,对处于状态ψ的系统S上的同一可观测量A进行联合测量,应得到相同的结果A=x。在Ozawa的术语中,该结果是主体间性的,不能被视作个人的。这是对QBism的强烈反对,若不更新其原则则无法存续。理解OIT对QBism基础影响的关键方面在于量子可观测量的概念。本文包含补充性讨论,强调准确的(von Neumann)与不准确的(含噪声的)量子可观测量之间的区别,它们分别由PVM和POVM表示。此外,我们讨论了OIT对量子力学哥本哈根诠释的影响。
英文摘要:
QBism's foundational statement that ``the outcome of a measurement of an observable is personal'' is in the straight contraversion with Ozawa's Intersubjectivity Theorem (OIT). The latter (proven within the quantum formalism) states that two observers, agents within the QBism terminology, performing joint measurements of the same observable $A$ on a system $S$ in the state $ψ$ should get the same outcome $A=x.$ In Ozawa's terminology, this outcome is intersubjective and it can't be treated as personal. This is the strong objection to QBism which can't survive without updating its principles. The essential aspect in understanding of the OIT-impact on QBism's foundations takes the notion of quantum observable. This paper comprises the complementary discussion highlighting the difference between the accurate, von Neumann, and inaccurate, noisy, quantum observables which are represented by PVMs and POVMs respectively. Moreover, we discuss the OIT-impact on the Copenhagen interpretation of quantum mechanics.
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