Generating mutually unbiased bases and discrete Wigner functions for three-qubit system

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 spac...

Ամբողջական նկարագրություն

Մատենագիտական մանրամասներ
Հիմնական հեղինակներ: Aliakbarzadeh, Mojtaba, Zainuddin, Hishamuddin
Ձևաչափ: Հոդված
Լեզու:English
Հրապարակվել է: Institute for Mathematical Research, Universiti Putra Malaysia 2014
Առցանց հասանելիություն:http://psasir.upm.edu.my/id/eprint/38933/1/38933.pdf
Նկարագրություն
Ամփոփում: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.