[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 …

Qudits and high-dimensional quantum computing

Y Wang, Z Hu, BC Sanders, S Kais - Frontiers in Physics, 2020 - frontiersin.org
Qudit is a multi-level computational unit alternative to the conventional 2-level qubit.
Compared to qubit, qudit provides a larger state space to store and process information, and …

Nonstabilizerness via perfect pauli sampling of matrix product states

G Lami, M Collura - Physical Review Letters, 2023 - APS
We introduce a novel approach to evaluate the nonstabilizerness of an N-qubits matrix
product state (MPS) with bond dimension χ. In particular, we consider the recently …

Kochen-specker contextuality

C Budroni, A Cabello, O Gühne, M Kleinmann… - Reviews of Modern …, 2022 - APS
A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

Catalysis in quantum information theory

P Lipka-Bartosik, H Wilming, NHY Ng - Reviews of Modern Physics, 2024 - APS
Catalysts open up new reaction pathways that can speed up chemical reactions while not
consuming the catalyst. A similar phenomenon has been discovered in quantum information …

Quantifying nonstabilizerness of matrix product states

T Haug, L Piroli - Physical Review B, 2023 - APS
Nonstabilizerness, also known as magic, quantifies the number of non-Clifford operations
needed to prepare a quantum state. As typical measures either involve minimization …

Scalable measures of magic resource for quantum computers

T Haug, MS Kim - PRX Quantum, 2023 - APS
Nonstabilizerness or magic resource characterizes the amount of non-Clifford operations
needed to prepare quantum states. It is a crucial resource for quantum computing and a …

Application of a resource theory for magic states to fault-tolerant quantum computing

M Howard, E Campbell - Physical review letters, 2017 - APS
Motivated by their necessity for most fault-tolerant quantum computation schemes, we
formulate a resource theory for magic states. First, we show that robustness of magic is a …

Trading classical and quantum computational resources

S Bravyi, G Smith, JA Smolin - Physical Review X, 2016 - APS
We propose examples of a hybrid quantum-classical simulation where a classical computer
assisted by a small quantum processor can efficiently simulate a larger quantum system …

Quantum resource theories

E Chitambar, G Gour - Reviews of modern physics, 2019 - APS
Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …