Simpler criterion and flexibility of operation complexity for perfectly teleporting arbitrary n-qubit state with 2n-qubit pure state  

作　　者：ZUO XueQin 1,LIU YiMin 2,ZHANG ZiYun 1,ZHANG Wen 1 & ZHANG ZhanJun 1 1 Key Laboratory of Optoelectronic Information Acquisition & Manipulation of Ministry of Education of China,School of Physics & Material Science,Anhui University,Hefei 230039,China 2 Department of Physics,Shaoguan University,Shaoguan 512005,China 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2010年第11期2069-2073,共5页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the Program for New Century Excellent Talents at the University of China (Grant No.NCET-06-0554);the National Natural Science Foundation of China (Grant Nos.10975001,60677001,10747146 and 10874122);the Science-Technology Fund of Anhui Province for Out-standing Youth (Grant No.06042087);the General Fund of the Educational Committee of Anhui Province (Grant No.2006KJ260B);the Natural Science Foundation of Guangdong Province (Grant Nos.06300345 and 7007806);the Talent Foundation of High Education of Anhui Province for Out-standing Youth (Grant No.2009SQRZ018)

摘　　要：A criterion for whether a pure-state quantum channel consisting of 2n qubits averagely distributed between two nodes can be used for perfectly teleporting an arbitrary n-qubit state via Bell-state measurements is educed.Specifically,a matrix is composed of the coefficients of the known channel state and whether the matrix is unitary decides the criterion.As the criterion is apparently different from the usual standard entanglement criterion (USEC),its applicability is enlarged and verified by other measuring bases.Thorough analyses have further simplified the resultant criterion,so that a much simpler criterion than the USEC is conclusively obtained.Moreover,the flexibility of operation complexity between the non-unitary measurements and the unitary reconstructions is explicitly exhibited.A criterion for whether a pure-state quantum channel consisting of 2n qubits averagely distributed between two nodes can be used for perfectly teleporting an arbitrary n-qubit state via Bell-state measurements is educed.Specifically,a matrix is composed of the coefficients of the known channel state and whether the matrix is unitary decides the criterion.As the criterion is apparently different from the usual standard entanglement criterion (USEC),its applicability is enlarged and verified by other measuring bases.Thorough analyses have further simplified the resultant criterion,so that a much simpler criterion than the USEC is conclusively obtained.Moreover,the flexibility of operation complexity between the non-unitary measurements and the unitary reconstructions is explicitly exhibited.

关 键 词：quantum TELEPORTATION CRITERION FLEXIBILITY of operation COMPLEXITY measuring bases reconstruction 

分 类 号：O413.1[理学—理论物理]