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Entropy product measure for multipartite pure states
Authors:CAO Wancang  LIU Dan  PAN Feng  LONG Guilu
Institution:1. Department of Physics,Chifeng College,Chifeng 024001,China;Key Laboratory for Quantum Information and Measurements,Department of Physics,Tsinghua Univer sity,Beijing 100084,China
2. Key Laboratory for Quantum Information and Measurements,Department of Physics,Tsinghua Univer sity,Beijing 100084,China
3. Department of Physics,Liaoning Normal University,Dalian 116029,China
4. Key Laboratory for Quantum Information and Measurements,Department of Physics,Tsinghua Univer sity,Beijing 100084,China;Key Laboratory for Atomic and Molecular Nano-Sciences,Tsinghua University,Beijing 100084,China
Abstract:An entanglement measure for multipartite pure states is formulated using the product of the von Neumann entropy of the reduced density matrices of the constituents. Based on this new measure, all possible ways of the maximal entanglement of the triqubit pure states are studied in detail and all types of the maximal entanglement have been compared with the result of ‘the average entropy’. The new measure can be used to calculate the degree of entanglement, and an improvement is given in the area near the zero entropy.
Keywords:multipartite pure state  von Neumann entropy  entanglement measure
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