51 citations · 134 across the 7 of their papers we have counts for
12 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…
Disaster Management in Scale-Free Networks: Recovery from and Protection Against Intentional Attacks
Behnam A. Rezaei, Nima Sarshar, P. Oscar Boykin +1
Susceptibility of scale free Power Law (PL) networks to attacks has been traditionally studied in the context of what may be termed as {\em instantaneous attacks}, where a randomly…
Functionality Encoded In Topology? Discovering Macroscopic Regulatory Modules from Large-Scale Protein-DNA Interaction Networks
Riccardo Boscolo, Behnam A. Rezaei, P. Oscar Boykin +1
The promise of discovering a functional blueprint of a cellular system from large-scale and high-throughput sequence and experimental data is predicated on the belief that the same…
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…
Threshold Error Penalty for Fault Tolerant Computation with Nearest Neighbour Communication
T. Szkopek, P. O. Boykin, H. Fan +5
The error threshold for fault tolerant quantum computation with concatenated encoding of qubits is penalized by internal communication overhead. Many quantum computation proposals…
A Statistical Mechanical Load Balancer for the Web
Jesse S. A. Bridgewater, P. Oscar Boykin, Vwani P. Roychowdhury
The maximum entropy principle from statistical mechanics states that a closed system attains an equilibrium distribution that maximizes its entropy. We first show that for graphs w…