Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution

M Motta, C Sun, ATK Tan, MJ O'Rourke, E Ye… - Nature Physics, 2020 - nature.com
The accurate computation of Hamiltonian ground, excited and thermal states on quantum
computers stands to impact many problems in the physical and computer sciences, from …

Preparation of matrix product states with log-depth quantum circuits

D Malz, G Styliaris, ZY Wei, JI Cirac - Physical Review Letters, 2024 - APS
We consider the preparation of matrix product states (MPS) on quantum devices via
quantum circuits of local gates. We first prove that faithfully preparing translation-invariant …

Sample-efficient learning of interacting quantum systems

A Anshu, S Arunachalam, T Kuwahara… - Nature Physics, 2021 - nature.com
Learning the Hamiltonian that describes interactions in a quantum system is an important
task in both condensed-matter physics and the verification of quantum technologies. Its …

Symmetry-enforced many-body separability transitions

YH Chen, T Grover - PRX Quantum, 2024 - APS
We study quantum many-body mixed states with a symmetry from the perspective of
separability, ie, whether a mixed state can be expressed as an ensemble of short-range …

Efficient learning of ground and thermal states within phases of matter

C Rouzé, D Stilck França, E Onorati… - Nature …, 2024 - nature.com
We consider two related tasks:(a) estimating a parameterisation of a given Gibbs state and
expectation values of Lipschitz observables on this state;(b) learning the expectation values …

Towards quantum computing phase diagrams of gauge theories with thermal pure quantum states

Z Davoudi, N Mueller, C Powers - Physical Review Letters, 2023 - APS
The phase diagram of strong interactions in nature at finite temperature and chemical
potential remains largely theoretically unexplored due to inadequacy of Monte-Carlo–based …

Simultaneous perturbation stochastic approximation of the quantum fisher information

J Gacon, C Zoufal, G Carleo, S Woerner - Quantum, 2021 - quantum-journal.org
Abstract The Quantum Fisher Information matrix (QFIM) is a central metric in promising
algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary …

Efficient classical simulation of random shallow 2D quantum circuits

JC Napp, RL La Placa, AM Dalzell, FGSL Brandao… - Physical Review X, 2022 - APS
A central question of quantum computing is determining the source of the advantage of
quantum computation over classical computation. Even though simulating quantum …

Variational thermal quantum simulation via thermofield double states

J Wu, TH Hsieh - Physical review letters, 2019 - APS
We present a variational approach for quantum simulators to realize finite temperature Gibbs
states by preparing thermofield double (TFD) states. Our protocol is motivated by the …

Variational quantum Boltzmann machines

C Zoufal, A Lucchi, S Woerner - Quantum Machine Intelligence, 2021 - Springer
This work presents a novel realization approach to quantum Boltzmann machines (QBMs).
The preparation of the required Gibbs states, as well as the evaluation of the loss function's …