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Quantum Simulation
Entanglement Theory Quantum Correlations
The Birkhoff theorem for unitary matrices of prime dimension
arXiv
Authors: Alexis De Vos, Stijn De Baerdemacker
Year
2015
Paper ID
26989
Status
Preprint
Abstract Read
~2 min
Abstract Words
40
Citations
N/A
Abstract
The Birkhoff's theorem states that any doubly stochastic matrix lies inside a convex polytope with the permutation matrices at the corners. It can be proven that a similar theorem holds for unitary matrices with equal line sums for prime dimensions.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The Birkhoff's theorem states that any doubly stochastic matrix lies inside a convex polytope with the permutation matrices at the corners.
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