Variational quantum linear solver

C Bravo-Prieto, R LaRose, M Cerezo, Y Subasi… - Quantum, 2023 - quantum-journal.org
Previously proposed quantum algorithms for solving linear systems of equations cannot be
implemented in the near term due to the required circuit depth. Here, we propose a hybrid …

Quench dynamics of the Schwinger model via variational quantum algorithms

L Nagano, A Bapat, CW Bauer - Physical Review D, 2023 - APS
We investigate the real-time dynamics of the (1+ 1)-dimensional U (1) gauge theory known
as the Schwinger model via variational quantum algorithms. Specifically, we simulate …

Quantum inverse algorithm via adaptive variational quantum linear solver: applications to general eigenstates

T Yoshikura, SL Ten-No… - The Journal of Physical …, 2023 - ACS Publications
We propose a quantum inverse algorithm (QInverse) to directly determine general
eigenstates by repeatedly applying the inverse power of a shifted Hamiltonian to an arbitrary …

Near-term applications of superconducting digital quantum simulation

Y Yao, Z Wang - Journal of Zhejiang University-SCIENCE A, 2024 - Springer
Quantum simulation, as a practical application of noisy quantum computing, has aided the
study of exotic quantum matters and the implementation of algorithms that outperform …

Many-Body-Expansion Based on Variational Quantum Eigensolver and Deflation for Dynamical Correlation

E Xu, Y Shimomoto, SL Ten-No… - The Journal of Physical …, 2024 - ACS Publications
In this work, we utilize the framework of many-body expansion (MBE) to decompose
electronic structures into fragments by incrementing virtual orbitals, aiming to accurately …

Variational quantum algorithm for ergotropy estimation in quantum many-body batteries

DT Hoang, F Metz, A Thomasen, TD Anh-Tai… - Physical Review …, 2024 - APS
Quantum batteries are predicted to have the potential to outperform their classical
counterparts and are therefore an important element in the development of quantum …

Multi-state quantum simulations via model-space quantum imaginary time evolution

T Tsuchimochi, Y Ryo, SC Tsang, SL Ten-no - npj Quantum Information, 2023 - nature.com
We introduce the framework of model space into quantum imaginary time evolution (QITE) to
enable stable estimation of ground and excited states using a quantum computer. Model …

Variational quantum simulation of long-range interacting systems

C Lyu, X Tang, J Li, X Xu, MH Yung… - New Journal of …, 2023 - iopscience.iop.org
Current quantum simulators suffer from multiple limitations such as short coherence time,
noisy operations, faulty readout and restricted qubit connectivity in some platforms …

Subspace-Based Local Compilation of Variational Quantum Circuits for Large-Scale Quantum Many-Body Simulation

S Kanasugi, Y Hidaka, YO Nakagawa, S Tsutsui… - arXiv preprint arXiv …, 2024 - arxiv.org
Simulation of quantum many-body systems is a promising application of quantum
computers. However, implementing the time-evolution operator as a quantum circuit …

Optimal compression of constrained quantum time evolution

MSJ Tepaske, DJ Luitz, D Hahn - Physical Review B, 2024 - APS
The time evolution of quantum many-body systems is one of the most promising applications
for near-term quantum computers. However, the utility of current quantum devices is strongly …