[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 …

Quantum Algorithms for Simulating Nuclear Effective Field Theories

JD Watson, J Bringewatt, AF Shaw, AM Childs… - arXiv preprint arXiv …, 2023 - arxiv.org
Quantum computers offer the potential to simulate nuclear processes that are classically
intractable. With the goal of understanding the necessary quantum resources, we employ …

A compact fermion to qubit mapping part 2: Alternative lattice geometries

C Derby, J Klassen - arXiv preprint arXiv:2101.10735, 2021 - arxiv.org
In recent work [arXiv: 2003.06939 v2] a novel fermion to qubit mapping--called the compact
encoding--was introduced which outperforms all previous local mappings in both the qubit to …

Simulating quantum error mitigation in fermionic encodings

RW Chien, K Setia, X Bonet-Monroig… - arXiv preprint arXiv …, 2023 - arxiv.org
The most scalable proposed methods of simulating lattice fermions on noisy quantum
computers employ encodings that eliminate nonlocal operators using a constant factor more …

Quantum Error Transmutation

D Zhang, T Cubitt - arXiv preprint arXiv:2310.10278, 2023 - arxiv.org
We introduce a generalisation of quantum error correction, relaxing the requirement that a
code should identify and correct a set of physical errors on the Hilbert space of a quantum …

Fermion Encodings and Algorithms for Quantum Simulation

RW Chien - 2023 - search.proquest.com
The study of the properties of quantum mechanical systems of many particles occupies a
central role in condensed matter physics, high-energy physics, and quantum chemistry. In …

Developing quantum algorithms for NISQ hardware

L Clinton - 2023 - discovery.ucl.ac.uk
When designing quantum algorithms, we typically abstract away the full capabilities of the
underlying hardware. For near-term applications of quantum hardware, it is not clear that this …