4 citations · 7 across the 8 of their papers we have counts for
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Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
Integrable trotterization} provides a method to evolve a continuous time integrable many-body system in discrete time, such that it retains its conserved quantities. Here we explic…
Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
Aritra Ghosh, Akash Sinha
In this work, we describe certain pseudo-Hermitian extensions of the harmonic and isotonic oscillators, both of which are exactly-solvable models in quantum mechanics. By coupling…
Toffoli gates solve the tetrahedron equations
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
The circuit model of quantum computation can be interpreted as a scattering process. In particular, factorised scattering operators result in integrable quantum circuits that provi…
Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
Akash Sinha, Aritra Ghosh, Bijan Bagchi
Motivated by the structure of the Swanson oscillator which is a well-known example of a non-Hermitian quantum system consisting of a general representation of a quadratic Hamiltoni…
Disorder-free localisation in continuous-time quantum walks : Role of symmetries
A. P. Balachandran, Anjali Kundalpady, Pramod Padmanabhan +1
We investigate the phenomenon of disorder-free localisation in quantum systems with global permutation symmetry. We use permutation group theory to systematically construct permuta…
Dyck Paths and Topological Quantum Computation
Vivek Kumar Singh, Akash Sinha, Pramod Padmanabhan +1
The fusion basis of Fibonacci anyons supports unitary braid representations that can be utilized for universal quantum computation. We show a mapping between the fusion basis of th…