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 …

Challenges and opportunities in quantum machine learning

M Cerezo, G Verdon, HY Huang, L Cincio… - Nature Computational …, 2022 - nature.com
At the intersection of machine learning and quantum computing, quantum machine learning
has the potential of accelerating data analysis, especially for quantum data, with …

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 …

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 …

Quantum simulation for high-energy physics

CW Bauer, Z Davoudi, AB Balantekin, T Bhattacharya… - PRX quantum, 2023 - APS
It is for the first time that quantum simulation for high-energy physics (HEP) is studied in the
US decadal particle-physics community planning, and in fact until recently, this was not …

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 …

Quantum state preparation with optimal circuit depth: Implementations and applications

XM Zhang, T Li, X Yuan - Physical Review Letters, 2022 - APS
Quantum state preparation is an important subroutine for quantum computing. We show that
any n-qubit quantum state can be prepared with a Θ (n)-depth circuit using only single-and …

Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

A Gilyén, Y Su, GH Low, N Wiebe - Proceedings of the 51st Annual ACM …, 2019 - dl.acm.org
An n-qubit quantum circuit performs a unitary operation on an exponentially large, 2 n-
dimensional, Hilbert space, which is a major source of quantum speed-ups. We develop a …