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pro vyhledávání: '"Matthew J. Donald"'
Autor:
Matthew J. Donald
Publikováno v:
Journal for the Theory of Social Behaviour. 48:157-161
Publikováno v:
Journal of Mathematical Physics. 43:4252-4272
We explore and develop the mathematics of the theory of entanglement measures. After a careful review and analysis of definitions, of preliminary results, and of connections between conditions on entanglement measures, we prove a sharpened version of
Autor:
Matthew J. Donald
Publikováno v:
Foundations of Physics. 25:529-571
It is proposed that the physical structure of an observer in quantum mechanics is constituted by a pattern of elementary localized switching events. A key preliminary step in giving mathematical expression to this proposal is the introduction of an e
Autor:
Matthew J. Donald
Publikováno v:
Foundations of Physics. 22:1111-1172
A physical and mathematical framework for the analysis of probabilities in quantum theory is proposed and developed. One purpose is to surmount the problem, crucial to any reconciliation between quantum theory and space-time physics, of requiring ins
Autor:
Matthew J. Donald
Publikováno v:
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. 427:43-93
A human brain operates as a pattern of switching. An abstract definition of a quantum mechanical switch is given that allows for the continual random fluctuations in the warm wet environment of the brain. Among several switch-like entities in the bra
We obtain a mathematically simple characterization of all functionals coinciding with the von Neumann reduced entropy on pure states based on the Khinchin-Faddeev axiomatization of Shannon entropy and give a physical interpretation of the axioms in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a11135e5a4aea0ddec9c76821d84895
http://arxiv.org/abs/quant-ph/0105104
http://arxiv.org/abs/quant-ph/0105104
Autor:
Michał Horodecki, Matthew J. Donald
We show that an entanglement measure called relative entropy of entanglement satisfies a strong continuity condition. If two states are close to each other then so are their entanglements per particle pair in this measure. It follows in particular, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a457030003e6b259d92185d9848ff965
http://arxiv.org/abs/quant-ph/9910002
http://arxiv.org/abs/quant-ph/9910002
Autor:
Matthew J. Donald
Publikováno v:
The Western Ontario Series in Philosophy of Science ISBN: 9789401061353
Some technical results about discontinuity and continuity of eigenprojections of reduced density operators are discussed in an elementary context. It is argued that these results suggest serious obstacles both to the goal of applying the modal interp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec1d8703b7ee2e15c1c20f241de8ee23
https://doi.org/10.1007/978-94-011-5084-2_8
https://doi.org/10.1007/978-94-011-5084-2_8
Autor:
Matthew J. Donald
Publikováno v:
Quantum Communications and Measurement ISBN: 9781489913937
The original development of the formalism of quantum mechanics involved the study of isolated quantum systems in pure states. Such systems fail to capture important aspects of the warm, wet, and noisy physical world which can better be modelled by qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b0790b9a0b40fbac7c2cbe5ca0a4454
https://doi.org/10.1007/978-1-4899-1391-3_40
https://doi.org/10.1007/978-1-4899-1391-3_40
Autor:
Matthew J. Donald
Publikováno v:
Comm. Math. Phys. 136, no. 3 (1991), 625-632
Let (ωn)n≧1 be a norm convergent sequence of normal states on a von Neumann algebraA withωn→ω. Let (kn)n≧1 be a strongly convergent sequence of self-adjoint elements ofA withkn→k. It is shown that the sequence\((\omega _n^{k_n } )_{n \geqq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f609d422f0a0f3c8bc26f28ab5d7c6f3
http://projecteuclid.org/euclid.cmp/1104202441
http://projecteuclid.org/euclid.cmp/1104202441