An introduction is given to an algebraic formulation and generalisation of the consistent histories approach to quantum theory. The main technical tool in this theory is an orthoalgebra of history propositions that serves as a generalised temporal analogue of the lattice of propositions of standard quantum logic. Particular emphasis is placed on those cases in which the history propositions can...

We elaborate on the distinction between geometric and dynamical phase in quantum theory and we show that the former is intrinsically linked to the quantum mechanical probabilistic structure. In particular, we examine the appearance of the Berry phase in the consistent histories scheme and establish that it is the basic building block of the decoherence functional. These results are consequences...

In designing structured P2P networks, scalability, resilience, and load balancing are features that are needed to be handled meticulously. The P2P overlay has to handle large scale of nodes while maintaining minimized path lengths in performing lookups. It has also to be resilient to nodes’ failure and be able to distribute the load uniformly over its participant. In this paper, we introduce SH...

This paper answers Bell’s question: What does quantum information refer to? It is about quantum properties represented by subspaces of the quantum Hilbert space, or their projectors, to which standard (Kolmogorov) probabilities can be assigned by using a projective decomposition of the identity (PDI or framework) as a quantum sample space. The single framework rule of consistent histories preve...

This paper is an answer to the preceding paper by Kastner, in which she continued the criticism of the counterfactual usage of the Aharonov ± Bergman ± Lebowitz rule in the framework of the time-symmetrized quantum theory, in particular, by analyzing the three-box `̀ paradox .’ ’ It is argued that the criticism is not sound . Paradoxical features of the three-box example are discussed. It is exp...

The argument of Einstein, Podolsky and Rosen (EPR), advanced by these authors in support of the thesis that quantummechanics cannot provide a complete description of a physical system, has been receiving close attention in foundational studies and debates on quantum mechanics ever since the famous paper of EPR appeared in 1935 [1]. Not lacking in subtlety, the EPR argument was bound to be misre...

In this paper I assess the prospects for combining contemporary Everettian quantum mechanics (EQM) with branching-time semantics in the tradition of Kripke, Prior, Thomason and Belnap. I begin by outlining the salient features of ‘decoherence-based’ EQM, and of the ’consistent histories’ formalism that is particularly apt for conceptual discussions in EQM. This formalism permits of both ‘branch...

Classical mechanics and standard Copenhagen quantum mechanics respect subspace implications. For example, if a particle is confined in a particular region R of space, then in these theories we can deduce that it is confined in regions containing R. However, subspace implications are generally violated by versions of quantum theory that assign probabilities to histories, such as the consistent h...

A recent claim by Bassi and Ghirardi that the consistent (decoherent) histories approach cannot provide a realistic interpretation of quantum theory is shown to be based upon a misunderstanding of the single-framework rule: they have replaced the correct rule with a principle which directly contradicts it. It is their assumptions, not those of the consistent histories approach, which lead to a ...