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Wigner Function:from Ensemble Average of Density Operator to Its One Matrix Element in Entangled Pure States
Authors:FAN Hong-Yi
Affiliation:Department of Physics,Shanghai Jiao Tong University,Shanghai 200030,China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract:We show that the Wigner function W = Tr(△ρ) (an ensemble average of the density operator ρ, △ is theWigner operator) can be expressed as a matrix element of ρ in the entangled pure states. In doing so, converting fromquantum master equations to time-evolution equation of the Wigner functions seems direct and concise. The entangledstates are defined in the enlarged Fock space with a fictitious freedom.
Keywords:Wigner function   ensemble average of density operator   matrix element in entangled pure states
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