2006/04/30 by Xiao‐Feng Qian, Xiao-Feng Qian, Z. Song
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Concurrence #Fermion #Mathematical physics #Mathematics #Mode (computer interface) #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Sign (mathematics) #Spin (aerodynamics) #Statistical physics #Thermodynamics #quant-ph
paper · pdf · doi:10.1103/physreva.74.022302
published as Phys. Rev. A 74, 022302 (2006) · 7 pages, no figures, publication version, to appear in PRA
arxiv created 2006/07/06 · openalex publication_date 2006/08/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The concepts of concurrence and mode concurrence are the measures of entanglement for spin-1∕2 and spinless fermion systems, respectively. Based on the Jordan-Wigner transformation, any spin-1∕2 system is always associated with a fermion system (called the counterpart system). A comparison of concurrence and mode concurrence can be made with the aid of Marshall's sign rule for the ground states of spin-1∕2 XXZ and spinless fermion chain systems. We observe that there exists an inequality between concurrence and mode concurrence for the ground states of the two corresponding systems. The spin-1∕2 XY chain system and its spinless fermion counterpart as a realistic example are discussed to demonstrate the analytical results.