44 citations · 107 across the 6 of their papers we have counts for
6 papers
A Simple and General Equation for Matrix Product Unitary Generation
Sujeet K. Shukla
Matrix Product Unitaries (MPUs) have emerged as essential tools for representing locality-preserving 1D unitary operators, with direct applications to quantum cellular automata and…
Fermionic quantum cellular automata and generalized matrix product unitaries
Lorenzo Piroli, Alex Turzillo, Sujeet K. Shukla +1
We study matrix product unitary operators (MPUs) for fermionic one-dimensional (1D) chains. In stark contrast with the case of 1D qudit systems, we show that (i) fermionic MPUs do…
A tensor network approach to 2D bosonization
Sujeet K. Shukla, Tyler D. Ellison, Lukasz Fidkowski
We present a 2D bosonization duality using the language of tensor networks. Specifically, we construct a tensor network operator (TNO) that implements an exact 2D bosonization dual…
Matrix Product Representation of Locality Preserving Unitaries
M. Burak Şahinoğlu, Sujeet K. Shukla, Feng Bi +1
The matrix product representation provides a useful formalism to study not only entangled states, but also entangled operators in one dimension. In this paper, we focus on unitary…
Boson condensation and instability in the tensor network representation of string-net states
Sujeet K. Shukla, M. Burak Şahinoğlu, Frank Pollmann +1
The tensor network representation of many-body quantum states, given by local tensors, provides a promising numerical tool for the study of strongly correlated topological phases i…
Electron transport across electrically switchable magnetic molecules
Sujeet K. Shukla, Stefano Sanvito
We investigate the electron transport properties of a model magnetic molecule formed by two magnetic centers whose exchange coupling can be altered with a longitudinal electric fie…