Matches in SemOpenAlex for { <https://semopenalex.org/work/W3113189095> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W3113189095 abstract "Solving linear systems of equations is central to many engineering andscientific fields. Several quantum algorithms have been proposed for linearsystems, where the goal is to prepare $|xrangle$ such that $A|xrangle propto|brangle$. While these algorithms are promising, the time horizon for theirimplementation is long due to the required quantum circuit depth. In this work,we propose a variational hybrid quantum-classical algorithm for solving linearsystems, with the aim of reducing the circuit depth and doing much of thecomputation classically. We propose a cost function based on the overlapbetween $|brangle$ and $A|xrangle$, and we derive an operational meaning forthis cost in terms of the solution precision $epsilon$. We also introduce aquantum circuit to estimate this cost, while showing that this cost cannot beefficiently estimated classically. Using Rigetti's quantum computer, wesuccessfully implement our algorithm up to a problem size of $32 times 32$.Furthermore, we numerically find that the complexity of our algorithm scalesefficiently in both $1/epsilon$ and $kappa$, with $kappa$ the conditionnumber of $A$. Our algorithm provides a heuristic for quantum linear systemsthat could make this application more near term." @default.
- W3113189095 created "2020-12-21" @default.
- W3113189095 creator A5018541813 @default.
- W3113189095 creator A5022166378 @default.
- W3113189095 creator A5027146543 @default.
- W3113189095 creator A5046765031 @default.
- W3113189095 creator A5074921335 @default.
- W3113189095 creator A5088973719 @default.
- W3113189095 date "2019-09-12" @default.
- W3113189095 modified "2023-09-27" @default.
- W3113189095 title "Variational Quantum Linear Solver: A Hybrid Algorithm for Linear Systems" @default.
- W3113189095 hasPublicationYear "2019" @default.
- W3113189095 type Work @default.
- W3113189095 sameAs 3113189095 @default.
- W3113189095 citedByCount "13" @default.
- W3113189095 countsByYear W31131890952019 @default.
- W3113189095 countsByYear W31131890952020 @default.
- W3113189095 countsByYear W31131890952021 @default.
- W3113189095 crossrefType "posted-content" @default.
- W3113189095 hasAuthorship W3113189095A5018541813 @default.
- W3113189095 hasAuthorship W3113189095A5022166378 @default.
- W3113189095 hasAuthorship W3113189095A5027146543 @default.
- W3113189095 hasAuthorship W3113189095A5046765031 @default.
- W3113189095 hasAuthorship W3113189095A5074921335 @default.
- W3113189095 hasAuthorship W3113189095A5088973719 @default.
- W3113189095 hasConcept C101471828 @default.
- W3113189095 hasConcept C11255438 @default.
- W3113189095 hasConcept C11413529 @default.
- W3113189095 hasConcept C121332964 @default.
- W3113189095 hasConcept C126255220 @default.
- W3113189095 hasConcept C134306372 @default.
- W3113189095 hasConcept C137019171 @default.
- W3113189095 hasConcept C14036430 @default.
- W3113189095 hasConcept C15184713 @default.
- W3113189095 hasConcept C173801870 @default.
- W3113189095 hasConcept C2778770139 @default.
- W3113189095 hasConcept C28826006 @default.
- W3113189095 hasConcept C33923547 @default.
- W3113189095 hasConcept C41008148 @default.
- W3113189095 hasConcept C58053490 @default.
- W3113189095 hasConcept C62520636 @default.
- W3113189095 hasConcept C6802819 @default.
- W3113189095 hasConcept C78458016 @default.
- W3113189095 hasConcept C84114770 @default.
- W3113189095 hasConcept C86803240 @default.
- W3113189095 hasConceptScore W3113189095C101471828 @default.
- W3113189095 hasConceptScore W3113189095C11255438 @default.
- W3113189095 hasConceptScore W3113189095C11413529 @default.
- W3113189095 hasConceptScore W3113189095C121332964 @default.
- W3113189095 hasConceptScore W3113189095C126255220 @default.
- W3113189095 hasConceptScore W3113189095C134306372 @default.
- W3113189095 hasConceptScore W3113189095C137019171 @default.
- W3113189095 hasConceptScore W3113189095C14036430 @default.
- W3113189095 hasConceptScore W3113189095C15184713 @default.
- W3113189095 hasConceptScore W3113189095C173801870 @default.
- W3113189095 hasConceptScore W3113189095C2778770139 @default.
- W3113189095 hasConceptScore W3113189095C28826006 @default.
- W3113189095 hasConceptScore W3113189095C33923547 @default.
- W3113189095 hasConceptScore W3113189095C41008148 @default.
- W3113189095 hasConceptScore W3113189095C58053490 @default.
- W3113189095 hasConceptScore W3113189095C62520636 @default.
- W3113189095 hasConceptScore W3113189095C6802819 @default.
- W3113189095 hasConceptScore W3113189095C78458016 @default.
- W3113189095 hasConceptScore W3113189095C84114770 @default.
- W3113189095 hasConceptScore W3113189095C86803240 @default.
- W3113189095 hasLocation W31131890951 @default.
- W3113189095 hasOpenAccess W3113189095 @default.
- W3113189095 hasPrimaryLocation W31131890951 @default.
- W3113189095 hasRelatedWork W1492999010 @default.
- W3113189095 hasRelatedWork W1568345435 @default.
- W3113189095 hasRelatedWork W1631356911 @default.
- W3113189095 hasRelatedWork W2161685427 @default.
- W3113189095 hasRelatedWork W2257937122 @default.
- W3113189095 hasRelatedWork W2559394418 @default.
- W3113189095 hasRelatedWork W2755255888 @default.
- W3113189095 hasRelatedWork W2781738013 @default.
- W3113189095 hasRelatedWork W2790388700 @default.
- W3113189095 hasRelatedWork W2794444783 @default.
- W3113189095 hasRelatedWork W2811032035 @default.
- W3113189095 hasRelatedWork W2897217696 @default.
- W3113189095 hasRelatedWork W2907241261 @default.
- W3113189095 hasRelatedWork W2972228381 @default.
- W3113189095 hasRelatedWork W2972442636 @default.
- W3113189095 hasRelatedWork W2972969431 @default.
- W3113189095 hasRelatedWork W3101479050 @default.
- W3113189095 hasRelatedWork W3101678819 @default.
- W3113189095 hasRelatedWork W3105870134 @default.
- W3113189095 hasRelatedWork W3163320491 @default.
- W3113189095 isParatext "false" @default.
- W3113189095 isRetracted "false" @default.
- W3113189095 magId "3113189095" @default.
- W3113189095 workType "article" @default.