Results 11 to 20 of about 6,358 (246)
Algebraic structure of path-independent quantum control
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
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Hilbert series of T-spaces [PDF]
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
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Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras [PDF]
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
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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
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Some Properties of Algebra of Quotients with Bounded Evaluation of a Norm Ideal on Complex Banach Space [PDF]
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
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The bulk Hilbert space of double scaled SYK
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
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Admissible Vectors and Hilbert Algebras [PDF]
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
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Hilbert Space Fragmentation and Commutant Algebras
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
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Some combinatorial identities related to commuting varieties and Hilbert schemes [PDF]
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
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A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
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.
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