Results 11 to 20 of about 1,660,234 (361)
Unitary and Euclidean representations of a quiver [PDF]
Linear Algebra and its Applications, 1998 A unitary (Euclidean) representation of a quiver is given by assigning to each vertex a unitary (Euclidean) vector space and to each arrow a linear mapping of the corresponding vector spaces.
Sergeichuk, Vladimir V.
core +6 more sources
The Burau representation is unitary [PDF]
Proceedings of the American Mathematical Society, 1984 A slight modification of the Burau representation of the braid group is shown to be unitary relative to an explicitly defined Hermitian form. This gives a partial answer to the problem of identifying the image of the Burau representation and provides a ...
C. Squier
semanticscholar +3 more sources
Quantifying the Unitary Generation of Coherence from Thermal Quantum Systems
Entropy, 2019 Coherence is associated with transient quantum states; in contrast, equilibrium thermal quantum systems have no coherence. We investigate the quantum control task of generating maximum coherence from an initial thermal state employing an external field ...
Shimshon Kallush +2 more
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On families of twisted power partial isometries
Karpatsʹkì Matematičnì Publìkacìï, 2022 We consider families of power partial isometries satisfying twisted commutation relations with deformation parameters $\lambda_{ij}\in\mathbb C$, $|\lambda_{ij}|=1$.
V.L. Ostrovskyi +2 more
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Detecting mixed-unitary quantum channels is NP-hard [PDF]
Quantum, 2020 A quantum channel is said to be a $\textit{mixed-unitary}$ channel if it can be expressed as a convex combination of unitary channels. We prove that, given the Choi representation of a quantum channel $\Phi$, it is NP-hard with respect to polynomial-time
Colin Do-Yan Lee, John Watrous
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Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices [PDF]
Open systems & information dynamics, 2006 P. Aniello, C. Lupo, M. Napolitano
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Topological Boundaries of Unitary Representations [PDF]
International Mathematics Research Notices, 2020 AbstractWe introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $\Gamma $ to the setting of a general unitary representation $\pi : \Gamma \to B(\mathcal H_\pi )$. This space, which we call the “Furstenberg–Hamana boundary” (or "FH-boundary") of the pair $(\Gamma , \pi )$, is a $\Gamma $-invariant subspace ...
Alex Bearden, Mehrdad Kalantar
openaire +3 more sources
Representation Matching For Remote Quantum Computing
PRX Quantum, 2021 Many quantum computational tasks have inherent symmetries, suggesting a path to enhancing their efficiency and performance. Exploiting this observation, we propose representation matching, a generic probabilistic protocol for reducing the cost of quantum
Yuxiang Yang, Masahito Hayashi
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On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group [PDF]
International Journal of Theoretical Physics, 2018 We consider a reducible unitary representation of Heisenberg-Weyl group in a tensor product of two Hilbert spaces. A non-commutative operator graph generated by this representation is introduced.
Grigori G. Amosov, A. S. Mokeev
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Local unitary representation of braids and N-qubit entanglements [PDF]
Quantum Information Processing, 2017 In this paper, by utilizing the idea of stabilizer codes, we give some relationships between one local unitary representation of braid group in N-qubit tensor space and the corresponding entanglement properties of the N-qubit pure state $$|\varPsi ...
Li-Wei Yu
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