In algebraic quantum field theory, some von Neumann algebra is associated with any finite open set in Minkowski space-time. Such a von Neumann algebra is called a local algebra. Let V1 and V2 be two spacelikely separated spacetime regions and let N(V1) and N(V2) be local algebras associated with V1 and V2 respectively. In the present paper it is shown that N(V1) and N(V2) are logically independent if and only if any correlation between projections of N(V1) and N(V2) has a Reichenbach's pre-common cause explanation.
In a paper by Waragai and Shidori, a system of paraconsistent logic called PCL1 was proposed and a result showing the relation between PCL1 and the system of Modal Logic S5 was given. Though the classical negation plays an important role in the result, it was treated in an abstract way, so the present paper focuses on the concrete treatment of classical negation in PCL1 and makes the condition to enrich PCL1 with classical negation explicit. For this purpose, strong negation, which is defined by using a bottom particle in PCL1, is introduced and some of its results will be given. Also the notion of "behaving classically" in the extended system will be discussed.
This paper discusses the view about the problem of self-knowledge that Crispin Wright has proposed in a series of his papers, which is closely related to Wittgenstein's 'rule-following' consideration. Based on his insight that intentions are not independent of subject's judgments about them (judgment dependence of intention, JDI), Wright offered the so-called 'extension-determination approach' to intentions (EDA). Though EDA is original and effective as an answer to the problem of self-knowledge, it intrinsically has a serious problem of infinite regress. This paper aims to suggest an alternative view that follows his basic insight (JDI) but that can avoid this serious problem.
We briefly look at the background of the research field of "quanta and information" from the epistemological point of view. Then quantum computation is very briefly explained and in particular quantum brachistochrone as my own research. The optimal quantum control to drive a transition from a given state to a target state in the shortest time naturally leads to the two state vector formulation of quantum mechanics advocated by Aharonov et al.
Entanglement is not only a fascinating phenomena predicted by quantum mechanics but also an essential and practical resource of quantum information and communication technology. Photons are the most popular and promising media to generate, manipulate, and transmit the entanglement. In this review article, concepts and progress in the generation, observation, and characterization of entangled photons are presented.
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