Quantum Information and the Representation Theory of the Symmetric Group
A number of important results in quantum information theory can be connected quite elegantly to the representation theory of the symmetric group through a quantum analogue of the classical information-theoretic "method of types" that arises naturally from the Schur-Weyl duality. We will gi...
- Autores:
-
Botero, Alonso
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66447
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66447
http://bdigital.unal.edu.co/67475/
- Palabra clave:
- 51 Matemáticas / Mathematics
Representation Theory
Quantum Information Theory
Schur-Weyl duality
Quantum Shannon theorem
Entanglement concentration
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A number of important results in quantum information theory can be connected quite elegantly to the representation theory of the symmetric group through a quantum analogue of the classical information-theoretic "method of types" that arises naturally from the Schur-Weyl duality. We will give a brief introduction to this connection and brie y discuss some of the results that follow from it, such as quantum source compression rates, entanglement concentration rates, quantum entropy inequalities, and the admissisble spectra of partial density matrices from pure, multipartite entangled states. |
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