Group structures and representations of graph states
學年 103
學期 2
出版（發表）日期 2015-07-20
作品名稱 Group structures and representations of graph states
作品名稱（其他語言）
著者 Jun-Yi Wu; Hermann Kampermann; Dagmar Bruß
單位
出版者
著錄名稱、卷期、頁數 Phys. Rev. A 92(1), 012322
摘要 A special configuration of graph state stabilizers, which contains only Pauli σX operators, is studied. The vertex sets ξ associated with such configurations are defined as what we call X chains of graph states. The X chains of a general graph state can be determined efficiently. They form a group structure such that one can obtain the explicit representation of graph states in the X basis via the so-called X-chain factorization diagram. We show that graph states with different X-chain groups can have different probability distributions of X-measurement outcomes, which allows one to distinguish certain graph states with X measurements. We provide an approach to find the Schmidt decomposition of graph states in the X basis. The existence of X chains in a subsystem facilitates error correction in the entanglement localization of graph states. In all of these applications, the difficulty of the task decreases with increasing number of X chains. Furthermore, we show that the overlap of two graph states can be efficiently determined via X chains, while its computational complexity with other known methods increases exponentially.
關鍵字
語言 en_US
ISSN 2469-9934
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 否
國別 USA
公開徵稿
出版型式 ,電子版
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