Imperial College London
Portrait Picture

Professor Myungshik Kim

Faculty of Natural Sciences, Department of Physics

Chair in Theoretical Quantum Information Sciences
 
 
 
//

Contact

 

+44 (0)20 7594 7754m.kim

 
 
//

Location

 

1202Electrical EngineeringSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Kwon:2020:10.1103/physrevlett.125.100502,
author = {Kwon, H and Paige, AJ and Kim, MS},
doi = {10.1103/physrevlett.125.100502},
journal = {Physical Review Letters},
pages = {100502  1--100502  7},
title = {Condition on the Rényi entanglement entropy under stochastic local manipulation},
url = {http://dx.doi.org/10.1103/physrevlett.125.100502},
volume = {125},
year = {2020}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The Rényi entanglement entropy (REE) is an entanglement quantifier considered as a natural generalization of the entanglement entropy. When it comes to stochastic local operations and classical communication (SLOCC), however, only a limited class of the REEs satisfy the monotonicity condition, while their statistical properties beyond mean values have not been fully investigated. Here, we establish a general condition that the probability distribution of the REE of any order obeys under SLOCC. The condition is obtained by introducing a family of entanglement monotones that contain the higher-order moments of the REEs. The contribution from the higher-order moments imposes a strict limitation on entanglement distillation via SLOCC. We find that the upper bound on success probabilities for entanglement distillation exponentially decreases as the amount of raised entanglement increases, which cannot be captured from the monotonicity of the REE. Based on the strong restriction on entanglement transformation under SLOCC, we design a new method to estimate entanglement in quantum many-body systems from experimentally observable quantities.
AU  - Kwon,H
AU  - Paige,AJ
AU  - Kim,MS
DO  - 10.1103/physrevlett.125.100502
EP  - 1
PY  - 2020///
SN  - 0031-9007
SP  - 100502
TI  - Condition on the Rényi entanglement entropy under stochastic local manipulation
T2  - Physical Review Letters
UR  - http://dx.doi.org/10.1103/physrevlett.125.100502
UR  - https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.100502
UR  - http://hdl.handle.net/10044/1/82522
VL  - 125
ER  -
Download