Entanglement is the crucial resource for different quantum information processing tasks.While conventional studies focus on the entanglement of bipartite or multipartite quantum states,recent works have extended the s...Entanglement is the crucial resource for different quantum information processing tasks.While conventional studies focus on the entanglement of bipartite or multipartite quantum states,recent works have extended the scenario to the entanglement of quantum channels,an operational quantification of the channel entanglement manipulation capability.Based on the recently proposed channel entanglement resource framework,here we study a further task of resource detection—witnessing entanglement of quantum channels.We first introduce the general framework and show how channel entanglement detection is related to the Choi state of the channel,enabling channel entanglement detection via conventional state entanglement detection methods.We also consider entanglement of multipartite quantum channels and use the stabilizer formalism to construct entanglement witnesses for circuits consisting of controlled-Z gates.We study the effectiveness of the proposed detection methods and compare their performance for several typical channels.Our work paves the way for systematic theoretical studies of channel entanglement and practical benchmarking of noisy intermediate scaled quantum devices.展开更多
基金supported by the Guangdong Innovative and Entrepreneurial Research Team Program (2016ZT06D348)Natural Science Foundation of Guangdong Province (2017B030308003)+6 种基金the Key R&D Program of Guangdong Province (2018B030326001)the Science, Technology and Innovation Commission of Shenzhen Municipality (JCYJ20170412152620376, JCYJ20170817105046702 and KYTDPT20181011104202253)the National Natural Science Foundation of China (11875160 and U1801661)supported by the National Natural Science Foundation of China (61832003, 61872334)the Economy, Trade and Information Commission of Shenzhen Municipality (201901161512)the Strategic Priority Research Program of Chinese Academy of Sciences (XDB28000000)K. C. Wong Education Foundation
基金supported by the National Natural Science Foundation of China under Grant Nos.62072119 and 61672007Guangdong Basic and Applied Basic Research Foundation under Grant No.2020A1515011180。
文摘Entanglement is the crucial resource for different quantum information processing tasks.While conventional studies focus on the entanglement of bipartite or multipartite quantum states,recent works have extended the scenario to the entanglement of quantum channels,an operational quantification of the channel entanglement manipulation capability.Based on the recently proposed channel entanglement resource framework,here we study a further task of resource detection—witnessing entanglement of quantum channels.We first introduce the general framework and show how channel entanglement detection is related to the Choi state of the channel,enabling channel entanglement detection via conventional state entanglement detection methods.We also consider entanglement of multipartite quantum channels and use the stabilizer formalism to construct entanglement witnesses for circuits consisting of controlled-Z gates.We study the effectiveness of the proposed detection methods and compare their performance for several typical channels.Our work paves the way for systematic theoretical studies of channel entanglement and practical benchmarking of noisy intermediate scaled quantum devices.
