Results 11 to 20 of about 140,041 (215)
Algebraic structure of path-independent quantum control
Physical 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
Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras [PDF]
Sahand 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
Universe, 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]
Al-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
Journal 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
Hilbert Space Fragmentation and Commutant Algebras
Physical 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
Rationality of Hilbert series in noncommutative invariant theory [PDF]
, 2017 It is a fundamental result in commutative algebra and invariant theory that a finitely generated graded module over a commutative finitely generated graded algebra has rational Hilbert series, and consequently the Hilbert series of the algebra of ...
Domokos, M., Drensky, V.
core +2 more sources
Linear orthogonality preservers of Hilbert bundles [PDF]
, 2010 Due to the corresponding fact concerning Hilbert spaces, it is natural to ask if the linearity and the orthogonality structure of a Hilbert $C^*$-module determine its $C^*$-algebra-valued inner product.
Leung, Chi-Wai +2 more
core +2 more sources
Abelian, amenable operator algebras are similar to C*-algebras [PDF]
, 2013 Suppose that H is a complex Hilbert space and that B(H) denotes the bounded linear operators on H. We show that every abelian, amenable operator algebra is similar to a C*-algebra. We do this by showing that if A is an abelian subalgebra of B(H) with the
Alexey, I. Popov, Laurent W. Marcoux
core +1 more source
Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics [PDF]
, 2002 We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous ...
A Bohm +22 more
core +2 more sources