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Quantum Dynamical Semigroup Generator Induced Digraphs Wiedemann, Alex
Description
In recent years, digraph induced generators of quantum dynamical semigroups have been introduced and studied, particularly in the context of unique relaxation. In this talk we consider the converse construction to show every generator $\mathcal{L}$ naturally gives rise to a digraph $G_\mathcal{L}$. In specialized cases we use properties of $G_\mathcal{L}$ to explicitly compute all invariant states of the semigroup. In the general case we discuss relaxation and the number of invariant states of the semigroup in terms of several other generator induced graphs
Item Metadata
Title |
Quantum Dynamical Semigroup Generator Induced Digraphs
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-04T15:04
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Description |
In recent years, digraph induced generators of quantum dynamical semigroups have been introduced and studied, particularly in the context of unique relaxation. In this talk we consider the converse construction to show every generator $\mathcal{L}$ naturally gives rise to a digraph $G_\mathcal{L}$. In specialized cases we use properties of $G_\mathcal{L}$ to explicitly compute all invariant states of the semigroup. In the general case we discuss relaxation and the number of invariant states of the semigroup in terms of several other generator induced graphs
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Extent |
55.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of South Carolina (USA)
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Series | |
Date Available |
2019-03-16
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0376990
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International