论文标题
相对状态量子逻辑
Relative State Quantum Logic
论文作者
论文摘要
开发了相对状态的投射量子逻辑，强调了正在研究的系统及其环境之间的信息传递的重要性。重点介绍了对系统历史演变的考虑，发现涉及共轭变量的观测值的结合可以始终定义，但被认为是非共同的。结果表明，伯克霍夫（Birkhoff）和冯·诺伊曼（Von Neumann）的量子逻辑方法无法处理此类连词。已经发现，虽然提出的方案一般不是分配的，但差异与干扰效应直接相关，而当信息从系统传输到其环境时可能会消失。有人认为，与预测相关的概率映射到矫形的三元逻辑，其中表明被排除的中间法律仍然存在。
A projective quantum logic in terms of relative states is developed, emphasizing the importance of information transfer between a system under study and its environment. The need for accounting for the historical evolution of system is highlighted and it is found that the conjunction of observations involving conjugate variables can be consistently defined but is found to be non-commutative. It is shown that the Birkhoff and von Neumann approach to quantum logic is unable to deal with such conjunctions. It is found that whilst the proposed scheme is still not distributive in general, the discrepancy is directly related to interference effects that may disappear when information is transferred from the system to its environment. It is argued that the probabilities associated with projections be mapped to an orthocomplemented ternary logic, in which it is shown that the law of the excluded middle still holds.
