Results 161 to 170 of about 60,391 (204)

phase2: Full-State Vector Simulation of Quantum Time Evolution at Scale

open access: yes
Miller M   +7 more
europepmc   +1 more source

Separability for Positive Operators on Tensor Product of Hilbert Spaces

Acta Mathematica Sinica, English Series, 2021
The separability and the entanglement (that is, inseparability) of the composite quantum states play important roles in quantum information theory. Mathematically, a quantum state is a trace-class positive operator with trace one acting on a complex separable Hilbert space.
Jinchuan Hou, Jin Fei Chai
openaire   +2 more sources

ON THE THEORY OF SINGULAR EXPANSION IN A TENSOR PRODUCT OF HILBERT SPACES

open access: closedRussian Academy of Sciences. Sbornik Mathematics, 1995
Approximation of an element in a tensor product of Hilbert spaces by a sum of products of elements in each of these spaces is considered. The existence of best approximation and the convergence of bilinear series are proved. An explicit representation for the best approximation is obtained.
V. V. Pospelov
openalex   +3 more sources

Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces

Journal of Dynamical Systems and Geometric Theories, 2009
Abstract The tensor product of frames in Hilbert spaces is introduced. It was shown that the tensor product of two frames is a frame for the tensor product of Hilbert spaces. The concept of tensor frame operator on tensor product of Hilbert space is given and results of it are presented.
N. Gopal Reddy   +2 more
openaire   +2 more sources

Tensor product of the octonionic Hilbert spaces and colour confinement

open access: closedJournal of Physics A: Mathematical and General, 1978
The definition of the tensor product of the octonionic Hilbert spaces with complex geometry is proposed. This definition is based on the isomorphism (geometric and algebraic) of the octonionic Hilbert space with appropriate structure. It is found that the algebraic colour confinement holds only partially.
Jakub Rembieliński
openalex   +3 more sources

Regular Functions of Operators on Tensor Products of Hilbert Spaces [PDF]

open access: possibleIntegral Equations and Operator Theory, 2005
A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the
openaire   +1 more source

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