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- University of WaterlooCA12 papers
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7 papers · 1 filter
The C*-envelope of the tensor algebra of a directed graph
Elias Katsoulis, David Kribs
Given an arbitrary countable directed graph we prove the C*-envelope of the tensor algebra coincides with the universal Cuntz-Krieger algebra associated with . Our…
On the Higher-Order Derivatives of Spectral Functions: Two Special Cases
Hristo S. Sendov
In this work we use the tensorial language developed in [8] and [9] to differentiate functions of eigenvalues of symmetric matrices. We describe the formulae for the k-th derivativ…
Generalized Hadamard Product and the Derivatives of Spectral Functions
Hristo S. Sendov
In this work we propose a generalization of the Hadamard product between two matrices to a tensor-valued, multi-linear product between k matrices for any . A multi-linear…
A quantum computing primer for operator theorists
David W. Kribs
This is an exposition of some of the aspects of quantum computation and quantum information that have connections with operator theory. After a brief introduction, we discuss quant…
Noiseless subsystems and the structure of the commutant in quantum error correction
J. A. Holbrook, D. W. Kribs, R. Laflamme
The effect of noise on a quantum system can be described by a set of operators obtained from the interaction Hamiltonian. Recently it has been shown that generalized quantum error…
Noiseless subsystems for collective rotation channels in quantum information theory
J. A. Holbrook, D. W. Kribs, R. Laflamme +1
Collective rotation channels are a fundamental class of channels in quantum computing and quantum information theory. The commutant of the noise operators for such a channel is a C…