3 papers
cond-mat.str-el2025
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…
cond-mat.stat-mech2020
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…
cond-mat.str-el2019
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…