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Paper Abstract and Keywords
Presentation 2013-11-18 00:00
[Poster Presentation] Operational Meaning of Entanglement Entropy in Anyonic Systems
Kohtaro Kato, Fabian Furrer, Mio Murao (Tokyo Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) We present an information theoretical approach to entanglement in pure bipartite anyonic systems by introducing a proper entanglement measure and link it to optimal distillation and dilution rates. Since the operational meaning of the measure is similar to the entanglement entropy for qubits we call it the anyonic entanglement entropy.
It is defined as the asymptotic limit of infinite identical copies of the straightforward generalization of the entanglement entropy to anyonic systems, e.g.,~the entropy of the reduced state. We then show that in contrast to the qubit case, the asymptotic limit increases the value for anyonic systems by the average logarithm of the quantum dimensions of the state.
Together with the established interpretation as the optimal entanglement distillation rates, it implies that by exploiting the anyonic structure higher entanglement conversion rates can be achieved than in qubit systems.
Keyword (in Japanese) (See Japanese page) 
(in English) anyons / entanglement entropy / topological quantum computations / / / / /  
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Conference Information
Committee QIT  
Conference Date 2013-11-18 - 2013-11-19 
Place (in Japanese) (See Japanese page) 
Place (in English) Waseda Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2013-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Operational Meaning of Entanglement Entropy in Anyonic Systems 
Sub Title (in English)  
Keyword(1) anyons  
Keyword(2) entanglement entropy  
Keyword(3) topological quantum computations  
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1st Author's Name Kohtaro Kato  
1st Author's Affiliation The University of Tokyo (Tokyo Univ.)
2nd Author's Name Fabian Furrer  
2nd Author's Affiliation The University of Tokyo (Tokyo Univ.)
3rd Author's Name Mio Murao  
3rd Author's Affiliation The University of Tokyo (Tokyo Univ.)
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Date Time 2013-11-18 00:00:00 
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