Generating mutually unbiased bases and discrete Wigner functions for three-qubit system
Aliakbarzadeh, Mojtaba and Zainuddin, Hishamuddin (2014) Generating mutually unbiased bases and discrete Wigner functions for three-qubit system. Malaysian Journal of Mathematical Sciences, 8 (1). pp. 1-14. ISSN 1823-8343; ESSN: 2289-750X
Official URL: http://einspem.upm.edu.my/journal/fullpaper/vol8/1...
It is known that there exists 2N+ 1 mutually unbiased bases for N qubits system. Between the different MUB construction algorithms of the three-qubit case, we focus on Wootters method with discrete phase space that leads naturally to a complete set of 2N+ 1 mutually unbiased bases for the state space. We construct discrete Wigner function using mutually unbiased bases from the discrete phase space for three-qubit system by explicitly calculating the Wigner functions for exemplary three-qubit pure states such as the GHZ state, the W state and the embedded Bell state. We also highlight some quasi-probability characteristics of these entangled states.
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