Results 11 to 20 of about 6,358 (246)

Algebraic structure of path-independent quantum control

open access: yesPhysical Review Research, 2022
Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [W.-L. Ma, M. Zhang, Y. Wong, K. Noh, S. Rosenblum, P. Reinhold, R. J. Schoelkopf, and L. Jiang, Phys. Rev. Lett. 125, 110503 (2020)
Wen-Long Ma, Shu-Shen Li, Liang Jiang
doaj   +1 more source

Hilbert series of T-spaces [PDF]

open access: yes, 2023
We show that the Hilbert series of a T -space in a free associative algebra A is either a rational function, or differs from the Hilbert series of the commutator [A, A] by a rational ...
S. Malev, A. Ya. Belov, L. Centrone
core   +1 more source

Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this paper, by using the sequence of adjointable operators from pro-C*-algebra $ mathcal{A} $ into a Hilbert $ mathcal{A} $-module $ E $. We introduce frames with bounds in pro-C*-algebra $ mathcal{A} $.
Mona Naroei Irani, Akbar Nazari
doaj   +1 more source

Quantum Current Algebra in Action: Linearization, Integrability of Classical and Factorization of Quantum Nonlinear Dynamical Systems

open access: yesUniverse, 2022
This review is devoted to the universal algebraic and geometric properties of the non-relativistic quantum current algebra symmetry and to their representations subject to applications in describing geometrical and analytical properties of quantum and ...
Anatolij K. Prykarpatski
doaj   +1 more source

Some Properties of Algebra of Quotients with Bounded Evaluation of a Norm Ideal on Complex Banach Space [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2020
Cabrera-Mohammed proved that the imbedding of a norm ideal on Hilbert space in algebra of quotients with bounded evaluation is continuous with other properties. In this paper we improve this result by using complex Banach space instated of Hilbert space.
Mohammed Al-Neima, Amir Mohammed
doaj   +1 more source

The bulk Hilbert space of double scaled SYK

open access: yesJournal of High Energy Physics, 2022
The emergence of the bulk Hilbert space is a mysterious concept in holography. In [1], the SYK model was solved in the double scaling limit by summing chord diagrams.
Henry W. Lin
doaj   +1 more source

Admissible Vectors and Hilbert Algebras [PDF]

open access: yesMediterranean Journal of Mathematics, 2021
Admissible vectors for unitary representations of locally compact groups are the basis for group-frame and covariant coherent state expansions. Main tools in the study of admissible vectors have been Plancherel and central integral decomposition, of applicability only under certain separability and semifiniteness restrictions. In this work we present a
F. Gómez-Cubillo, S. Wickramasekara
openaire   +2 more sources

Hilbert Space Fragmentation and Commutant Algebras

open access: yesPhysical Review X, 2022
We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and Floquet quantum systems using the language of commutant algebras, the algebra of all operators that commute with each local term that appears in the Hamiltonian or each ...
Sanjay Moudgalya, Olexei I. Motrunich
doaj   +1 more source

Some combinatorial identities related to commuting varieties and Hilbert schemes [PDF]

open access: yes, 2011
In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the ...
Ginzburg, V.   +3 more
core   +1 more source

A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]

open access: yes, 2007
Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
core   +1 more source

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