Relativity and irreversibility.
Remark on two papers concerning axiomatics of quantum mechanics
By modifying a scheme (due to Gunson) it can be shown that the space generated by all irreducible states has a prehilbertian structure.
Remarks on effect-tribes
We show that an effect tribe of fuzzy sets with the property that every is -measurable, where is the family of subsets of whose characteristic functions are central elements in , is a tribe. Moreover, a monotone -complete effect algebra with RDP with a Loomis-Sikorski representation , where the tribe has the property that every is -measurable, is a -MV-algebra.
Remarks on joint distributions of observables
Remarks on representation of fuzzy quantum posets
Remarks on tensor products and their applications in quantum theory I. General considerations
Remarks on tensor proucts and their applications in quantum theory - II. Spectral properties
Remarks on the order for quantum observables
Representation of observables in quantum mechanical models
Representation theorem for convex effect algebras
Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.
Resonant perturbation theory of decoherence and relaxation of quantum bits.
Ring-like structures with unique symmetric difference related to quantum logic
Ring-like quantum structures generalizing Boolean rings and having the property that the terms corresponding to the two normal forms of the symmetric difference in Boolean algebras coincide are investigated. Subclasses of these structures are algebraically characterized and related to quantum logic. In particular, a physical interpretation of the proposed model following Mackey's approach to axiomatic quantum mechanics is given.
-linear operators in quantum mechanics and in economy.
Seeable matter; unseeable antimatter
The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra , an interpretation is developed that suggests that this seeable universe is not the whole universe; there is an unseeable part of the universe composed of antimatter galaxies and stuff, and an extra 6 dimensions of space (also unseeable) linking the matter side to the antimatter—at the very least.
Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric
Semiobservables on quantum logics
Simulation of equatorial von Neumann measurements on GHZ states using nonlocal resources.
Some additional remarks on Fock space stochastic calculus
Some distributivities in GBbi-QRs characterizing Boolean rings
This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.
Some new Results for Additive Self-Dual Codes over GF(4)
* Supported by COMBSTRU Research Training Network HPRN-CT-2002-00278 and the Bulgarian National Science Foundation under Grant MM-1304/03.Additive code C over GF(4) of length n is an additive subgroup of GF(4)n. It is well known [4] that the problem of finding stabilizer quantum error-correcting codes is transformed into problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to construct good additive self-dual codes of length 13...