31 citations · 54 across the 7 of their papers we have counts for
7 papers
Mutually Unbiased Bases and Orthogonal Decompositions of Lie Algebras
P. Oscar Boykin, Meera Sitharam, Pham Huu Tiep +1
We establish a connection between the problem of constructing maximal collections of mutually unbiased bases (MUBs) and an open problem in the theory of Lie algebras. More precisel…
On independent permutation separability criteria
Lieven Clarisse, Pawel Wocjan
Recently P. Wocjan and M. Horodecki [quant-ph/0503129] gave a characterization of combinatorially independent permutation separability criteria. Combinatorial independence is a nec…
Characterization of combinatorially independent permutation separability criteria
Pawel Wocjan, Michal Horodecki
The so-called permutation separability criteria are simple operational conditions that are necessary for separability of mixed states of multipartite systems: (1) permute the indic…
Real Mutually Unbiased Bases
P. Oscar Boykin, Meera Sitharam, Mohamad Tarifi +1
We tabulate bounds on the optimal number of mutually unbiased bases in R^d. For most dimensions d, it can be shown with relatively simple methods that either there are no real orth…
New Construction of Mutually Unbiased Bases in Square Dimensions
Pawel Wocjan, Thomas Beth
We show that k=w+2 mutually unbiased bases can be constructed in any square dimension d=s^2 provided that there are w mutually orthogonal Latin squares of order s. The construction…
Ergodic quantum computing
Dominik Janzing, Pawel Wocjan
We propose a (theoretical ;-) model for quantum computation where the result can be read out from the time average of the Hamiltonian dynamics of a 2-dimensional crystal on a cylin…