Quantum Algorithm for Linear Systems of Equations

Aram W. Harrow; Avinatan Hassidim; Seth Lloyd

doi:https://doi.org/10.1103/physrevlett.103.150502

Quantum Algorithm for Linear Systems of Equations

2009 · Physical Review Letters · 3,375 citations · 11 from inside this corpus

Aram W. Harrow, Avinatan Hassidim, Seth Lloyd

The source holds an abstract for this work, but its best open-access copy is under no open licence, which does not permit us to republish the text. Read it at the source below.

16 of 16 neighbouring works in this corpus. Blue is what this paper cites; orange is what cites it, and a dashed line is one neighbour citing another. Only the largest labels are drawn — every node carries its full title on hover.

this paper works it cites works citing it node size = global citations · hover for the full title

Citation edge evidence

Each row is directed from the citing work to the cited work. Source status remains readable without the interactive graph.

Quantum Computing in the NISQ era and beyond→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
A variational eigenvalue solver on a photonic quantum processor→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum machine learning→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Variational quantum algorithms→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum Support Vector Machine for Big Data Classification→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
A quantum engineer's guide to superconducting qubits→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum circuit learning→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum principal component analysis→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum Algorithm for Linear Systems of Equations→Algorithms for quantum computation: discrete logarithms and factoringLegacy edge — source detail unavailable
Quantum Algorithm for Linear Systems of Equations→A scheme for efficient quantum computation with linear opticsLegacy edge — source detail unavailable
Quantum Algorithm for Linear Systems of Equations→Universal Quantum SimulatorsLegacy edge — source detail unavailable
Quantum Algorithm for Linear Systems of Equations→A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Pro…Legacy edge — source detail unavailable
Quantum Algorithm for Linear Systems of Equations→Quantum amplitude amplification and estimationLegacy edge — source detail unavailable
Quantum principal component analysis→Universal Quantum SimulatorsLegacy edge — source detail unavailable
Quantum principal component analysis→Quantum Support Vector Machine for Big Data ClassificationLegacy edge — source detail unavailable
Universal Quantum Simulators→Algorithms for quantum computation: discrete logarithms and factoringLegacy edge — source detail unavailable
Quantum Support Vector Machine for Big Data Classification→Quantum principal component analysisLegacy edge — source detail unavailable
Quantum machine learning→Quantum principal component analysisLegacy edge — source detail unavailable
Quantum machine learning→Universal Quantum SimulatorsLegacy edge — source detail unavailable
Quantum machine learning→Quantum Support Vector Machine for Big Data ClassificationLegacy edge — source detail unavailable
Quantum Computing in the NISQ era and beyond→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Quantum Computing in the NISQ era and beyond→Quantum machine learningLegacy edge — source detail unavailable
Quantum circuit learning→Quantum Support Vector Machine for Big Data ClassificationLegacy edge — source detail unavailable
Quantum circuit learning→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→Quantum principal component analysisLegacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→Universal Quantum SimulatorsLegacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→Quantum Support Vector Machine for Big Data ClassificationLegacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Pro…Legacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→Quantum amplitude amplification and estimationLegacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Quantum Chemistry in the Age of Quantum Computing→Quantum Computing in the NISQ era and beyondLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Universal Quantum SimulatorsLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Quantum Computing in the NISQ era and beyondLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Quantum circuit learningLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→A quantum engineer's guide to superconducting qubitsLegacy edge — source detail unavailable
A quantum engineer's guide to superconducting qubits→Universal Quantum SimulatorsLegacy edge — source detail unavailable
A quantum engineer's guide to superconducting qubits→Quantum Support Vector Machine for Big Data ClassificationLegacy edge — source detail unavailable
A quantum engineer's guide to superconducting qubits→A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Pro…Legacy edge — source detail unavailable
A quantum engineer's guide to superconducting qubits→A scheme for efficient quantum computation with linear opticsLegacy edge — source detail unavailable
A quantum engineer's guide to superconducting qubits→Quantum machine learningLegacy edge — source detail unavailable
Variational quantum algorithms→Quantum principal component analysisLegacy edge — source detail unavailable
Variational quantum algorithms→Universal Quantum SimulatorsLegacy edge — source detail unavailable
Variational quantum algorithms→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Variational quantum algorithms→Quantum machine learningLegacy edge — source detail unavailable
Variational quantum algorithms→Quantum Computing in the NISQ era and beyondLegacy edge — source detail unavailable
Variational quantum algorithms→Quantum circuit learningLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Universal Quantum SimulatorsLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Algorithms for quantum computation: discrete logarithms and factoringLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Quantum machine learningLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Quantum Computing in the NISQ era and beyondLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Quantum circuit learningLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Quantum Chemistry in the Age of Quantum ComputingLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Superconducting Qubits: Current State of PlayLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→A quantum engineer's guide to superconducting qubitsLegacy edge — source detail unavailable

What this paper cites, inside the corpus

Paper	Year	Cited
Algorithms for quantum computation: discrete logarithms and factoring	2002	8,732
A scheme for efficient quantum computation with linear optics	2001	5,926
Universal Quantum Simulators	1996	3,153
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Pro…	2001	2,110
Quantum amplitude amplification and estimation	2002	1,465

What cites it, inside the corpus

Paper	Year	Cited
Quantum Computing in the NISQ era and beyond	2018	8,662
A variational eigenvalue solver on a photonic quantum processor	2014	4,730
Quantum machine learning	2017	4,720
Variational quantum algorithms	2021	3,226
Quantum Support Vector Machine for Big Data Classification	2014	2,010
A quantum engineer's guide to superconducting qubits	2019	1,988
Noisy intermediate-scale quantum algorithms	2022	1,770
Quantum circuit learning	2018	1,667
Quantum Chemistry in the Age of Quantum Computing	2019	1,484
Superconducting Qubits: Current State of Play	2019	1,467
Quantum principal component analysis	2014	1,414

Links

Download BibTeX · Download RIS · DOI · Open access copy · OpenAlex record

Topics

Quantum Computing Algorithms and Architecture	Computer Science
Quantum Information and Cryptography	Computer Science
Matrix Theory and Algorithms	Computer Science

Is this record sound?

complete

Nothing in this record contradicts itself and no field we check is missing.

supports3 author record(s) attached.
supports35 reference(s) recorded.
neutralThe DOI carries no year to check against.
supportsA title is present.

Provenance

Everything above was read from one stored OpenAlex payload, fetched 2026-09-04T03:58:47+00:00.

sha256 a08467ae9504f237…