Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
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 …
computers stands to impact many problems in the physical and computer sciences, from …
Preparation of matrix product states with log-depth quantum circuits
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 …
quantum circuits of local gates. We first prove that faithfully preparing translation-invariant …
Sample-efficient learning of interacting quantum systems
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 …
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 …
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
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 …
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
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 …
potential remains largely theoretically unexplored due to inadequacy of Monte-Carlo–based …
Simultaneous perturbation stochastic approximation of the quantum fisher information
Abstract The Quantum Fisher Information matrix (QFIM) is a central metric in promising
algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary …
algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary …
Efficient classical simulation of random shallow 2D quantum circuits
A central question of quantum computing is determining the source of the advantage of
quantum computation over classical computation. Even though simulating quantum …
quantum computation over classical computation. Even though simulating quantum …
Variational thermal quantum simulation via thermofield double states
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 …
states by preparing thermofield double (TFD) states. Our protocol is motivated by the …
Variational quantum Boltzmann machines
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 …
The preparation of the required Gibbs states, as well as the evaluation of the loss function's …