Optimal High-Dimensional Entanglement Concentration for Pure Bipartite Systems
| Primer Autor |
Solis-Prosser, Miguel Angel
|
| Co-autores |
Palma Torres, Lukas
Jimenez, Omar
Gomez, Esteban S.
Delgado, Aldo
|
| Título |
Optimal High-Dimensional Entanglement Concentration for Pure Bipartite Systems
|
| Editorial |
MDPI
|
| Revista |
MICROMACHINES
|
| Lenguaje |
en
|
| Resumen |
Considering pure quantum states, entanglement concentration is the procedure where, from N copies of a partially entangled state, a single state with higher entanglement can be obtained. Obtaining a maximally entangled state is possible for N=1. However, the associated success probability can be extremely low when increasing the system's dimensionality. In this work, we study two methods to achieve a probabilistic entanglement concentration for bipartite quantum systems with a large dimensionality for N=1, regarding a reasonably good probability of success at the expense of having a non-maximal entanglement. Firstly, we define an efficiency function Q considering a tradeoff between the amount of entanglement (quantified by the I-Concurrence) of the final state after the concentration procedure and its success probability, which leads to solving a quadratic optimization problem. We found an analytical solution, ensuring that an optimal scheme for entanglement concentration can always be found in terms of Q. Finally, a second method was explored, which is based on fixing the success probability and searching for the maximum amount of entanglement attainable. Both ways resemble the Procrustean method applied to a subset of the most significant Schmidt coefficients but obtaining non-maximally entangled states.
|
| Fecha Publicación |
2023
|
| Tipo de Recurso |
artículo original
|
| doi |
10.3390/mi14061207
|
| Formato Recurso |
PDF
|
| Palabras Claves |
entanglement concentration
Schmidt number
|
| Ubicación del archivo | |
| Categoría OCDE |
Química
Ciencia y tecnología - Otros temas
Instrumentos e instrumentación
Física
|
| Materias |
concentración de entrelazamiento
número de Schmidt
|
| Identificador del recurso (Mandatado-único) |
artículo original
|
| Versión del recurso (Recomendado-único) |
versión publicada
|
| License |
CC BY 4.0
|
| Condición de la licencia (Recomendado-repetible) |
CC BY 4.0
|
| Derechos de acceso |
acceso abierto
|
| Access Rights |
acceso abierto
|
| Id de Web of Science |
WOS:001020836000001
|
| Tipo de ruta |
verde# dorado
|
| Categoría WOS |
Química
Ciencia y tecnología - Otros temas
Instrumentos e instrumentación
Física
|
| Referencia del Financiador (Mandatado si es aplicable-repetible) |
ANID-FONDECYT 231940
UM PEP I-2019020
ANID ICN17_012
ANID FONDECYT 231940
|
cienciaabierta.ufro.cl
ciencia.abierta@ufrontera.cl