Quantum machine learning for chemistry and physics

M Sajjan, J Li, R Selvarajan, SH Sureshbabu… - Chemical Society …, 2022 - pubs.rsc.org
Machine learning (ML) has emerged as a formidable force for identifying hidden but
pertinent patterns within a given data set with the objective of subsequent generation of …

Fermionic reduced density low-rank matrix completion, noise filtering, and measurement reduction in quantum simulations

L Peng, X Zhang, GKL Chan - Journal of Chemical Theory and …, 2023 - ACS Publications
Fermionic reduced density matrices summarize the key observables in Fermionic systems.
In electronic systems, the two-particle reduced density matrix (2-RDM) is sufficient to …

Entropy corrected geometric Brownian motion

R Gupta, EA Drzazga-Szczȩśniak, S Kais… - Scientific Reports, 2024 - nature.com
The geometric Brownian motion (GBM) is widely used for modeling stochastic processes,
particularly in finance. However, its solutions are constrained by the assumption that the …

Simulating noisy quantum channels via quantum state preparation algorithms

MS Zanetti, DF Pinto, MLW Basso… - Journal of Physics B …, 2023 - iopscience.iop.org
Abstract In Xin et al (2017 Phys. Rev. A 96 062303) and Wei et al (2018 Sci. China Phys.
Mech. Astron. 61 70311), the authors reported an algorithm to simulate, in a circuit-based …

Enhanced shadow tomography of molecular excited states via the enforcement of -representability conditions by semidefinite programming

I Avdic, DA Mazziotti - Physical Review A, 2024 - APS
Excited-state properties of highly correlated systems are key to understanding
photosynthesis, luminescence, and the development of novel optical materials, but …

Hamiltonian learning from time dynamics using variational algorithms

R Gupta, R Selvarajan, M Sajjan… - The Journal of …, 2023 - ACS Publications
The Hamiltonian of a quantum system governs the dynamics of the system via the
Schrodinger equation. In this paper, the Hamiltonian is reconstructed in the Pauli basis …

Physics-Inspired Quantum Simulation of Resonating Valence Bond States─ A Prototypical Template for a Spin-Liquid Ground State

M Sajjan, R Gupta, SS Kale, V Singh… - The Journal of …, 2023 - ACS Publications
Spin liquids─ an emergent, exotic collective phase of matter─ have garnered enormous
attention in recent years. While experimentally many prospective candidates have been …

Random projection using random quantum circuits

K Kumaran, M Sajjan, S Oh, S Kais - Physical Review Research, 2024 - APS
The random sampling task performed by Google's Sycamore processor gave us a glimpse of
the “quantum supremacy era.” This has definitely shed some light on the power of random …

Quantum state tomography inspired by language modeling

L Zhong, C Guo, X Wang - arXiv preprint arXiv:2212.04940, 2022 - arxiv.org
Quantum state tomography is an elementary tool to fully characterize an unknown quantum
state. As the quantum hardware scales up in size, the standard quantum state tomography …

Fewer Measurements from Shadow Tomography with -Representability Conditions

I Avdic, DA Mazziotti - Physical Review Letters, 2024 - APS
Classical shadow tomography provides a randomized scheme for approximating the
quantum state and its properties at reduced computational cost with applications in quantum …