30 citations · 230 across the 51 of their papers we have counts for
14 papers · 1 filter
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…
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…
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…
Groupoid Toric Codes
Pramod Padmanabhan, Indrajit Jana
The toric code can be constructed as a gauge theory of finite groups on oriented two dimensional lattices. Here we construct analogous models with the gauge fields belonging to gro…
Topological Quantum Computation on Supersymmetric Spin Chains
Indrajit Jana, Filippo Montorsi, Pramod Padmanabhan +1
Quantum gates built out of braid group elements form the building blocks of topological quantum computation. They have been extensively studied in quantum group theories,…
Non-CSS color codes on 2D lattices : Models and Topological Properties
Pramod Padmanabhan, Abhishek Chowdhury, Fumihiko Sugino +2
The two-dimensional color code is an alternative to the toric code that encodes more logical qubits while maintaining crucial features of the toric…
Local invariants of braiding quantum gates -- associated link polynomials and entangling power
Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
For a generic -qubit system, local invariants under the action of characterize non-local properties of entanglement. In general, such properties a…
Generating W states with braiding operators
Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
Braiding operators can be used to create entangled states out of product states, thus establishing a correspondence between topological and quantum entanglement. This is well-known…
Braiding quantum gates from partition algebras
Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
Unitary braiding operators can be used as robust entangling quantum gates. We introduce a solution-generating technique to solve the -generalized Yang-Baxter equation, for…
Quantum entanglement, supersymmetry, and the generalized Yang-Baxter equation
Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
Entangled states, such as the Bell and GHZ states, are generated from separable states using matrices known to satisfy the Yang-Baxter equation and its generalization. This remarka…
Non-Interacting Motzkin Chain - Periodic Boundary Conditions
Olof Salberger, Pramod Padmanabhan, Vladimir Korepin
The Motzkin spin chain is a spin-1 model introduced in \cite{shor} as an example of a system exhibiting a high degree of quantum fluctuations whose ground state can be mapped to Mo…
Quantum Phase Transitions and Localization in Semigroup Fredkin Spin Chain
Pramod Padmanabhan, Fumihiko Sugino, Vladimir Korepin
We construct an extended quantum spin chain model by introducing new degrees of freedom to the Fredkin spin chain. The new degrees of freedom called arrow indices are partly associ…
Area Law Violations and Quantum Phase Transitions in Modified Motzkin Walk Spin Chains
Fumihiko Sugino, Pramod Padmanabhan
Area law violations for entanglement entropy in the form of a square root has recently been studied for one-dimensional frustration-free quantum systems based on the Motzkin walks…