Recent Advances in Operator Theory, Operator Algebras, and their Applications

2005 ◽  
Keyword(s):  
Operator Theory ◽  
Operator Algebras ◽  
Recent Advances ◽  
Theory Operator

Recent Advances in Operator Theory and Operator Algebras

2017 ◽  
Author(s):  
Hari Bercovici ◽  
David Kerr ◽  
Elias Katsoulis ◽  
Dan Timotin
Keyword(s):  
Operator Theory ◽  
Operator Algebras ◽  
Recent Advances

scholarly journals Operator and Graph Theoretic Techniques for Distinguishing Quantum States via One-Way LOCC

2021 ◽  
Vol 11 (20) ◽  
pp. 9542
Author(s):  
David W. Kribs ◽  
Comfort Mintah ◽  
Michael Nathanson ◽  
Rajesh Pereira
Keyword(s):  
Operator Theory ◽  
Operator Algebras ◽  
Quantum States ◽  
Classical Communication ◽  
Quantum Operations ◽  
Graph Theoretic ◽  
Local Quantum ◽  
First Time ◽  
Theoretic Description ◽  
Theory Operator

We bring together in one place some of the main results and applications from our recent work on quantum information theory, in which we have brought techniques from operator theory, operator algebras, and graph theory for the first time to investigate the topic of distinguishability of sets of quantum states in quantum communication, with particular reference to the framework of one-way local quantum operations and classical communication (LOCC). We also derive a new graph-theoretic description of distinguishability in the case of a single-qubit sender.

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