25 citations · 41 across the 12 of their papers we have counts for
25 papers
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs
Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou +1
We study the spectral theory of a class of piecewise centrosymmetric Jacobi operators defined on an associated family of substitution graphs. Given a finite centrosymmetric matrix…
Quantum walks on regular graphs with realizations in a system of anyons
Radhakrishnan Balu
We build interacting Fock spaces from association schemes and set up quantum walks on the resulting regular graphs (distance-regular and distance-transitive). The construction is v…
Covariant Ergodic Quantum Markov Semigroups via Systems of Imprimitivity
Radhakrishnan Balu
We construct relativistic quantum Markov semigroups from covariant completely positive maps. We proceed by generalizing a step in Stinespring's dilation to a general system of impr…
Covariant Fermionic Fields of Space-like Particles
Radhakrishnan Balu
We develop covariant fermionic fields of space-like particles. As an application of the formalism we discuss the example of superluminous tachyons with imaginary rest mass and spin…
Quantum Probabilistic Spaces on Graphs for Topological Evolutions
Radhakrishnan Balu
We start with the consideration of fusion rules of anyonic particles evolving on a 2D surface and the a hypergroup comes with it to construct entangled quantum Markov chains. The f…
Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer
C. Huerta Alderete, Shivani Singh, Nhung H. Nguyen +5
The quantum walk formalism is a widely used and highly successful framework for modeling quantum systems, such as simulations of the Dirac equation, different dynamics in both the…