Results 81 to 90 of about 470,444 (191)

Complete positivity of mapping valued linear maps

open access: yesMathematische Zeitschrift, 1988
We consider the matrix order structure of ordered Banach space. This notion is an extended version of the order structure of a \(C^ *\)- algebra or a predual of von Neumann algebra induced by the cone of its positive elements. Corresponding to the case that the associated algebra is abelian, we introduce the notion, a matrix ordered Banach space of ...
Itoh, Takashi, Nagisa, Masaru
openaire   +2 more sources

From Rotations to Unitaries: Reversible Quantum Processes and the Emergence of the SU(2)−SO(3) Homomorphism [PDF]

open access: yesRevista Brasileira de Ensino de Física
We present an operational reconstruction of the well-known two-to-one homomorphism between the groups SU(2) and SO(3), grounded in the physical description of quantum state preparation and evolution.
V.G Valle, B.F. Rizzuti
doaj   +1 more source

Comparison of information structures and completely positive maps [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2005
A theorem of Blackwell about comparison between information structures in classical statistics is given an analogue in the quantum probabilistic setup. The theorem provides an operational interpretation for trace-preserving completely positive maps, which are the natural quantum analogue of classical stochastic maps.
openaire   +2 more sources

A survey on dilations of projective isometric representations [PDF]

open access: yesSurveys in Mathematics and its Applications, 2009
In this paper we present Laca-Raeburn's dilation theory of projective isometric representations of a semigroup to projective isometric representations of a group [M.Laca and I.Raeburn, Proc. Amer. Math.
Tania-Luminiţa Costache
doaj  

Bell–Clauser–Horne–Shimony–Holt Behavior Under Quantum Loss and Decoherence

open access: yesCryptography
We present a detailed analysis of the effect of quantum loss and decoherence in the Bell-CHSH scenario. Adopting a device-independent approach, we study the change in the bipartite conditional probability distribution, i.e., the behavior of the realized ...
Ottó Hanyecz   +3 more
doaj   +1 more source

Perturbed functional and neutral functional evolution equations with infinite delay in Frechet spaces

open access: yesElectronic Journal of Differential Equations, 2008
This article shows sufficient conditions for the existence of mild solutions, on the positive half-line, for two classes of first-order functional and neutral functional perturbed differential evolution equations with infinite delay.
Mouffak Benchohra, Selma Baghli
doaj  

A new proof for monotonicity of sandwiched Renyi relative entropy

open access: yes四川大学学报. 自然科学版, 2018
Itis well known that in quantum information quantum relative is monotonically decreasing under the completely positive and trace-preserving maps. For a new proposed sandwiched R\'enyi quantum relative, a map that is linear trace-preserving and whose ...
wang you le, Luo Maokang, DENG Ke
doaj  

Gluing of completely positive maps

open access: yes, 2003
Gluings of completely positive maps (CPMs) are defined and investigated. As a brief description of this concept consider a pair of `evolution machines', each with the ability to evolve the internal state of a `particle' inserted into its input. Each of these machines is characterized by a channel describing the operation the internal state has ...
openaire   +2 more sources

On The Integral Representation of Strictly Continuous Set-Valued Maps

open access: yesInternational Journal of Analysis and Applications, 2015
Let T be a completely regular topological space and C(T) be the space of bounded, continuous real-valued functions on T. C(T) is endowed with the strict topology (the topology generated by seminorms determined by continuous functions vanishing at in_nity)
Anaté K. Lakmon, Kenny K. Siggini
doaj   +2 more sources

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