46 citations · 128 across the 7 of their papers we have counts for
7 papers
A Factorization Identity for Twisted Multinomial Coefficients with Application to Pilot States in Hamiltonian Decoded Quantum Interferometry
Pawel Wocjan
The -multinomial coefficient, a classical object in enumerative combinatorics, counts permutations of multisets weighted by the number of inversions, with a single deformation p…
Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem
Andrew M. Childs, Aram W. Harrow, Pawel Wocjan
Schur duality decomposes many copies of a quantum state into subspaces labeled by partitions, a decomposition with applications throughout quantum information theory. Here we consi…
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…