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...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38933/ http://psasir.upm.edu.my/id/eprint/38933/1/38933.pdf |
| _version_ | 1848849008922984448 |
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| author | Aliakbarzadeh, Mojtaba Zainuddin, Hishamuddin |
| author_facet | Aliakbarzadeh, Mojtaba Zainuddin, Hishamuddin |
| author_sort | Aliakbarzadeh, Mojtaba |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:43:34Z |
| format | Article |
| id | upm-38933 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:43:34Z |
| publishDate | 2014 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-389332015-09-04T13:19:04Z http://psasir.upm.edu.my/id/eprint/38933/ Generating mutually unbiased bases and discrete Wigner functions for three-qubit system Aliakbarzadeh, Mojtaba Zainuddin, Hishamuddin 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. Institute for Mathematical Research, Universiti Putra Malaysia 2014-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38933/1/38933.pdf 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 http://einspem.upm.edu.my/journal/fullpaper/vol8/1.%20MOJTABA%20&%20HISHAM.pdf |
| spellingShingle | Aliakbarzadeh, Mojtaba Zainuddin, Hishamuddin Generating mutually unbiased bases and discrete Wigner functions for three-qubit system |
| title | Generating mutually unbiased bases and discrete Wigner functions for three-qubit system |
| title_full | Generating mutually unbiased bases and discrete Wigner functions for three-qubit system |
| title_fullStr | Generating mutually unbiased bases and discrete Wigner functions for three-qubit system |
| title_full_unstemmed | Generating mutually unbiased bases and discrete Wigner functions for three-qubit system |
| title_short | Generating mutually unbiased bases and discrete Wigner functions for three-qubit system |
| title_sort | generating mutually unbiased bases and discrete wigner functions for three-qubit system |
| url | http://psasir.upm.edu.my/id/eprint/38933/ http://psasir.upm.edu.my/id/eprint/38933/ http://psasir.upm.edu.my/id/eprint/38933/1/38933.pdf |