Constructing Mutually Unbiased Bases from Quantum Latin Squares
نویسنده
چکیده
We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quantum Latin squares to build maximally entangled bases, and show how mutually unbiased maximally entangled bases can be constructed in square dimension from orthogonal quantum Latin squares. We also compare our construction to an existing construction due to Beth and Wocjan [20] and show that ours is strictly more general.
منابع مشابه
Quantum Latin squares and unitary error bases
We introduce quantum Latin squares, combinatorial quantum objects which generalize classical Latin squares. We show that quantum Latin squares can be seen as weakened versions of mutually-unbiased bases (MUBs). Our main results use quantum Latin squares to give a new construction of unitary error bases (UEBs), basic structures in quantum information which lie at the heart of procedures such as ...
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Tomasz Paterek,1 Borivoje Dakić,2,3 and Časlav Brukner2,3 1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore 2Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Wien, Austria 3Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Wien, Austria (Received 28 Febru...
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