Mutually unbiased product bases for multiple qudits
Journal Article
·
· Journal of Mathematical Physics
- Department of Optics, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic and Department of Applied Mathematics, Hanyang University (ERICA), 55 Hanyangdaehak-ro, Ansan, Gyeonggi-do 426-791 (Korea, Republic of)
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna (Austria)
- Department of Mathematics, University of York, York YO10 5DD (United Kingdom)
We investigate the interplay between mutual unbiasedness and product bases for multiple qudits of possibly different dimensions. A product state of such a system is shown to be mutually unbiased to a product basis only if each of its factors is mutually unbiased to all the states which occur in the corresponding factors of the product basis. This result implies both a tight limit on the number of mutually unbiased product bases which the system can support and a complete classification of mutually unbiased product bases for multiple qubits or qutrits. In addition, only maximally entangled states can be mutually unbiased to a maximal set of mutually unbiased product bases.
- OSTI ID:
- 22597047
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 57; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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