Quantification of Unextendible Entanglement and Its Applications in Entanglement Distillation

Wang，Kun1,4; Wang，Xin2; Wilde，Mark M.3

10.1109/ISIT44484.2020.9174283

2020-06-01

IEEE International Symposium on Information Theory (ISIT)

2157-8095

978-1-7281-6433-5

IEEE International Symposium on Information Theory - Proceedings

2020-June

1939-1943

JUN 21-26, 2020

null,null,ELECTR NETWORK

345 E 47TH ST, NEW YORK, NY 10017 USA

IEEE

The unextendibility or monogamy of entangled states is a key property of quantum entanglement. Unlike conventional ways of expressing entanglement monogamy via entanglement measure inequalities, we develop a state-dependent resource theory to quantify the unextendibility of bipartite entangled states. First, we introduce a family of entanglement measures called unextendible entanglement. Given a bipartite state ρ, the key idea behind these measures is to minimize a divergence between ρ and any possibly reduced state ρ′ of an extension ρ′ of ρ. These measures are intuitively motivated by the fact that the more a bipartite state is entangled, the less each of its individual systems can be entangled with a third party. Second, we show that the unextendible entanglement is an entanglement monotone under two-extendible operations, which include local operations and one-way classical communication as a special case. Unextendible entanglement has several other desirable properties, including normalization and faithfulness. As applications, we show that the unextendible entanglement provides efficiently computable benchmarks for the rate of perfect entanglement distillation, as well as for the overhead of entanglement distillation.A full version of this paper is accessible at: http://arxiv.org/abs/1911.07433

第一

英语

EI ; CPCI-S

NSF[1907615]

Computer Science ; Engineering

Computer Science, Theory & Methods ; Engineering, Electrical & Electronic

WOS:000714963402003

20203709169738

Distillation ; Benchmarking

Chemical Operations:802.3 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85090425347

Scopus

1.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.Institute for Quantum Computing,Baidu Research,Beijing,100193,China
3.Center for Computation and Technology,Louisiana State University,Hearne Institute for Theoretical Physics,Department of Physics and Astronomy,Baton Rouge,70803,United States
4.Center for Quantum Computing,Peng Cheng Laboratory,Shenzhen,518055,China

Wang，Kun,Wang，Xin,Wilde，Mark M.. Quantification of Unextendible Entanglement and Its Applications in Entanglement Distillation[C]. 345 E 47TH ST, NEW YORK, NY 10017 USA:IEEE,2020:1939-1943.