Results 11 to 20 of about 68 (27)

The transformation of irreducible tensor operators under spherical functions

open access: yes, 2010
The irreducible tensor operators and their tensor products employing Racah algebra are studied. Transformation procedure of the coordinate system operators act on are introduced.
A.K. Bhatia   +13 more
core   +1 more source

Linear maps preserving separability of pure states

open access: yes, 2013
Linear maps preserving pure states of a quantum system of any dimension are characterized. This is then used to establish a structure theorem for linear maps that preserve separable pure states in multipartite systems.
Hou, Jinchuan, Qi, Xiaofei
core   +1 more source

Matrix stretching

open access: yesOpen Mathematics
We consider the tensor products of square matrices of different sizes and introduce the stretching maps, which can be viewed as a generalized matricization.
Futorny Vyacheslav   +2 more
doaj   +1 more source

Operators with extension property and the principle of local reflexivity [PDF]

open access: yes, 1996
Given an arbitrary $p$-Banach ideal $(0 < p \leq 1)$, we ask for geometrical properties of this ideal which are sufficient (and necessary) to allow a transfer of the principle of local reflexivity to this operator ...
Oertel, Frank
core   +1 more source

Generation of Mapping Cones from Small Sets

open access: yes, 2012
We answer in the affirmative a recently-posed question that asked if there exists an "untypical" convex mapping cone -- i.e., one that does not arise from the transpose map and the cones of k-positive and k-superpositive maps.
Ando   +36 more
core   +1 more source

Applications of Hilbert Module Approach to Multivariable Operator Theory

open access: yes, 2014
A commuting $n$-tuple $(T_1, \ldots, T_n)$ of bounded linear operators on a Hilbert space $\clh$ associate a Hilbert module $\mathcal{H}$ over $\mathbb{C}[z_1, \ldots, z_n]$ in the following sense: \[\mathbb{C}[z_1, \ldots, z_n] \times \mathcal{H ...
A. Arias   +70 more
core   +1 more source

Role of Partial Transpose and Generalized Choi maps in Quantum Dynamical Semigroups involving Separable and Entangled States

open access: yes, 2015
Power symmetric matrices defned and studied by R. Sinkhorn (1981) and their generalization by R.B. Bapat, S.K. Jain and K. Manjunatha Prasad (1999) have been utilized to give positive block matrices with trace one possessing positive partial transpose ...
Singh, Ajit Iqbal
core   +1 more source

Composition operators on Hilbert spaces of entire functions with analytic symbols

open access: yes, 2016
Composition operators with analytic symbols on some reproducing kernel Hilbert spaces of entire functions on a complex Hilbert space are studied. The questions of their boundedness, seminormality and positivity are investigated. It is proved that if such
Stochel, Jan, Stochel, Jerzy B.
core   +1 more source

A characterization of invariant subspaces for isometric representations of product system over $\mathbb{N}_0^{k}$

open access: yes, 2023
Using the Wold-von Neumann decomposition for the isometric covariant representations due to Muhly and Solel, we prove an explicit representation of the commutant of a doubly commuting pure isometric representation of the product system over $\mathbb{N}_0^
Saini, Dimple   +2 more
core  

Generalizing Pauli Spin Matrices Using Cubic Lattices

open access: yes, 2023
In quantum mechanics, the connection between the operator algebraic realization and the logical models of measurement of state observables has long been an open question. In the approach that is presented here, we introduce a new application of the cubic
Turnansky, Morrison
core  

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