Hybrid quantum-classical algorithms and quantum error mitigation

S Endo, Z Cai, SC Benjamin, X Yuan - Journal of the Physical …, 2021 - journals.jps.jp
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

Quantum entanglement

R Horodecki, P Horodecki, M Horodecki… - Reviews of modern …, 2009 - APS
All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

Efficient variational quantum simulator incorporating active error minimization

Y Li, SC Benjamin - Physical Review X, 2017 - APS
One of the key applications for quantum computers will be the simulation of other quantum
systems that arise in chemistry, materials science, etc., in order to accelerate the process of …

Probing Rényi entanglement entropy via randomized measurements

T Brydges, A Elben, P Jurcevic, B Vermersch, C Maier… - Science, 2019 - science.org
Entanglement is a key feature of many-body quantum systems. Measuring the entropy of
different partitions of a quantum system provides a way to probe its entanglement structure …

Entanglement detection

O Gühne, G Tóth - Physics Reports, 2009 - Elsevier
How can one prove that a given quantum state is entangled? In this paper we review
different methods that have been proposed for entanglement detection. We first explain the …

Virtual distillation for quantum error mitigation

WJ Huggins, S McArdle, TE O'Brien, J Lee, NC Rubin… - Physical Review X, 2021 - APS
Contemporary quantum computers have relatively high levels of noise, making it difficult to
use them to perform useful calculations, even with a large number of qubits. Quantum error …

Practical quantum error mitigation for near-future applications

S Endo, SC Benjamin, Y Li - Physical Review X, 2018 - APS
It is vital to minimize the impact of errors for near-future quantum devices that will lack the
resources for full fault tolerance. Two quantum error mitigation (QEM) techniques have been …

[HTML][HTML] Gate set tomography

E Nielsen, JK Gamble, K Rudinger, T Scholten… - Quantum, 2021 - quantum-journal.org
Gate set tomography (GST) is a protocol for detailed, predictive characterization of logic
operations (gates) on quantum computing processors. Early versions of GST emerged …

Quantum entanglement in condensed matter systems

N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Exponential error suppression for near-term quantum devices

B Koczor - Physical Review X, 2021 - APS
Suppressing noise in physical systems is of fundamental importance. As quantum
computers mature, quantum error correcting codes (QECs) will be adopted in order to …