[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices

J Tilly, H Chen, S Cao, D Picozzi, K Setia, Y Li, E Grant… - Physics Reports, 2022 - Elsevier
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

Practical quantum advantage in quantum simulation

AJ Daley, I Bloch, C Kokail, S Flannigan, N Pearson… - Nature, 2022 - nature.com
The development of quantum computing across several technologies and platforms has
reached the point of having an advantage over classical computers for an artificial problem …

Dynamical memristors for higher-complexity neuromorphic computing

S Kumar, X Wang, JP Strachan, Y Yang… - Nature Reviews …, 2022 - nature.com
Research on electronic devices and materials is currently driven by both the slowing down
of transistor scaling and the exponential growth of computing needs, which make present …

A race-track trapped-ion quantum processor

SA Moses, CH Baldwin, MS Allman, R Ancona… - Physical Review X, 2023 - APS
We describe and benchmark a new quantum charge-coupled device (QCCD) trapped-ion
quantum computer based on a linear trap with periodic boundary conditions, which …

Quantum chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

Quantum computational chemistry

S McArdle, S Endo, A Aspuru-Guzik, SC Benjamin… - Reviews of Modern …, 2020 - APS
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …

The future of quantum computing with superconducting qubits

S Bravyi, O Dial, JM Gambetta, D Gil… - Journal of Applied …, 2022 - pubs.aip.org
For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …

Quantum algorithms for quantum chemistry and quantum materials science

B Bauer, S Bravyi, M Motta, GKL Chan - Chemical Reviews, 2020 - ACS Publications
As we begin to reach the limits of classical computing, quantum computing has emerged as
a technology that has captured the imagination of the scientific world. While for many years …

Theory of trotter error with commutator scaling

AM Childs, Y Su, MC Tran, N Wiebe, S Zhu - Physical Review X, 2021 - APS
The Lie-Trotter formula, together with its higher-order generalizations, provides a direct
approach to decomposing the exponential of a sum of operators. Despite significant effort …

[HTML][HTML] Hamiltonian simulation by qubitization

GH Low, IL Chuang - Quantum, 2019 - quantum-journal.org
We present the problem of approximating the time-evolution operator $ e^{-i\hat {H} t} $ to
error $\epsilon $, where the Hamiltonian $\hat {H}=(\langle G|\otimes\hat {\mathcal {I}})\hat …