Ground-state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices
Under suitable assumptions, some recently developed quantum algorithms can estimate the
ground-state energy and prepare the ground state of a quantum Hamiltonian with near …
ground-state energy and prepare the ground state of a quantum Hamiltonian with near …
Filtering variational quantum algorithms for combinatorial optimization
D Amaro, C Modica, M Rosenkranz… - Quantum Science …, 2022 - iopscience.iop.org
Current gate-based quantum computers have the potential to provide a computational
advantage if algorithms use quantum hardware efficiently. To make combinatorial …
advantage if algorithms use quantum hardware efficiently. To make combinatorial …
Qubit-efficient randomized quantum algorithms for linear algebra
We propose a class of randomized quantum algorithms for the task of sampling from matrix
functions, without the use of quantum block encodings or any other coherent oracle access …
functions, without the use of quantum block encodings or any other coherent oracle access …
Entanglement-assisted phase-estimation algorithm for calculating dynamical response functions
Dynamical response functions are fundamental quantities to describe the excited-state
properties in quantum many-body systems. Quantum algorithms have been proposed to …
properties in quantum many-body systems. Quantum algorithms have been proposed to …
Power of the sine Hamiltonian operator for estimating the eigenstate energies on quantum computers
Quantum computers have been shown to have tremendous potential in solving difficult
problems in quantum chemistry. In this paper, we propose a new classical-quantum hybrid …
problems in quantum chemistry. In this paper, we propose a new classical-quantum hybrid …
Efficient quantum imaginary time evolution by drifting real-time evolution: an approach with low gate and measurement complexity
Quantum imaginary time evolution (QITE) is one of the promising candidates for finding the
eigenvalues and eigenstates of a Hamiltonian on a quantum computer. However, the …
eigenvalues and eigenstates of a Hamiltonian on a quantum computer. However, the …
Measurement-efficient quantum Krylov subspace diagonalisation
The Krylov subspace methods, being one category of the most important classical numerical
methods for linear algebra problems, can be much more powerful when generalised to …
methods for linear algebra problems, can be much more powerful when generalised to …
Robust ground-state energy estimation under depolarizing noise
We present a novel ground-state energy estimation algorithm that is robust under global
depolarizing error channels. Building upon the recently developed Quantum Exponential …
depolarizing error channels. Building upon the recently developed Quantum Exponential …
Nonequilibrium dynamics of deconfined quantum critical point in imaginary time
YR Shu, SK Jian, S Yin - Physical Review Letters, 2022 - APS
Deconfined quantum critical point (DQCP) characterizes a kind of exotic phase transition
beyond the usual Landau-Ginzburg-Wilson paradigm. Here we study the nonequilibrium …
beyond the usual Landau-Ginzburg-Wilson paradigm. Here we study the nonequilibrium …
Variational Quantum Eigensolvers with Quantum Gaussian Filters for solving ground-state problems in quantum many-body systems
Y Liu, MQ He, ZD Wang - arXiv preprint arXiv:2401.13459, 2024 - arxiv.org
We present a novel quantum algorithm for approximating the ground-state in quantum many-
body systems, particularly suited for Noisy Intermediate-Scale Quantum (NISQ) devices. Our …
body systems, particularly suited for Noisy Intermediate-Scale Quantum (NISQ) devices. Our …