7 papers
An efficient algorithm for approximate shadow Hamiltonian simulation
Abhijit Chakraborty, Bharath Sambasivam, Karunya Shirali +4
The paper introduces an algorithm that approximates real-time quantum dynamics by pruning the operator algebra of a shadow Hamiltonian, reducing the required qubit resources for si…
Q3SAT-GPT: A Generative Model for Discovering Quantum Circuits for the 3-SAT Problem
Pratim Ugale, Ilya Tyagin, Karunya Shirali +2
This work introduces Q3SAT-GPT, a generative model for discovering quantum circuits for the Max-E3-SAT problem. Our method learns from high-performing QAOA-style ansätze to direct…
TIMES-ADAPT: A Quantum algorithm for real-time evolution in low-energy subspaces using fixed-depth circuits
Bharath Sambasivam, Kyle Sherbert, Karunya Shirali +3
We propose a new variational quantum algorithm, which we refer to as TIMES-ADAPT, that prepares time-evolved states in a low-energy or symmetric subspace of a time-independent Hami…
TEPID-ADAPT: Adaptive variational method for simultaneous preparation of low-temperature Gibbs and low-lying eigenstates
Bharath Sambasivam, Kyle Sherbert, Karunya Shirali +4
Preparing Gibbs states, which describe systems in equilibrium at finite temperature, is of great importance, particularly at low temperatures. In this work, we propose a new method…
To break, or not to break: Symmetries in adaptive quantum simulations, a case study on the Schwinger model
Karunya Shailesh Shirali, Kyle Sherbert, Yanzhu Chen +4
We investigate the role of symmetries in constructing resource-efficient operator pools for adaptive variational quantum eigensolvers. In particular, we focus on the lattice Schwin…
Floquet-ADAPT-VQE: A Quantum Algorithm to Simulate Non-Equilibrium Physics in Periodically Driven Systems
Abhishek Kumar, Karunya Shirali, Nicholas J. Mayhall +2
Periodically driven quantum systems exhibit many fascinating phenomena absent in equilibrium systems, but their simulation is more challenging than that of static systems. Conseque…