Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287241344> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4287241344 abstract "The quantum singular value transformation is a powerful quantum algorithm that allows one to apply a polynomial transformation to the singular values of a matrix that is embedded as a block of a unitary transformation. This paper shows how to perform the quantum singular value transformation for a matrix that can be embedded as a block of a Hamiltonian. The transformation can be implemented in a purely Hamiltonian context by the alternating application of Hamiltonians for chosen intervals: it is an example of the Quantum Alternating Operator Ansatz (generalized QAOA). We also show how to use the Hamiltonian quantum singular value transformation to perform inverse block encoding to implement a unitary of which a given Hamiltonian is a block. Inverse block encoding leads to novel procedures for matrix multiplication and for solving differential equations on quantum information processors in a purely Hamiltonian fashion." @default.
- W4287241344 created "2022-07-25" @default.
- W4287241344 creator A5007373481 @default.
- W4287241344 creator A5017836719 @default.
- W4287241344 creator A5036271075 @default.
- W4287241344 creator A5038060570 @default.
- W4287241344 creator A5055460463 @default.
- W4287241344 creator A5061177049 @default.
- W4287241344 creator A5079855181 @default.
- W4287241344 creator A5086119516 @default.
- W4287241344 date "2021-04-03" @default.
- W4287241344 modified "2023-09-27" @default.
- W4287241344 title "Hamiltonian singular value transformation and inverse block encoding" @default.
- W4287241344 doi "https://doi.org/10.48550/arxiv.2104.01410" @default.
- W4287241344 hasPublicationYear "2021" @default.
- W4287241344 type Work @default.
- W4287241344 citedByCount "0" @default.
- W4287241344 crossrefType "posted-content" @default.
- W4287241344 hasAuthorship W4287241344A5007373481 @default.
- W4287241344 hasAuthorship W4287241344A5017836719 @default.
- W4287241344 hasAuthorship W4287241344A5036271075 @default.
- W4287241344 hasAuthorship W4287241344A5038060570 @default.
- W4287241344 hasAuthorship W4287241344A5055460463 @default.
- W4287241344 hasAuthorship W4287241344A5061177049 @default.
- W4287241344 hasAuthorship W4287241344A5079855181 @default.
- W4287241344 hasAuthorship W4287241344A5086119516 @default.
- W4287241344 hasBestOaLocation W42872413441 @default.
- W4287241344 hasConcept C109282560 @default.
- W4287241344 hasConcept C121332964 @default.
- W4287241344 hasConcept C126255220 @default.
- W4287241344 hasConcept C130787639 @default.
- W4287241344 hasConcept C130979935 @default.
- W4287241344 hasConcept C158693339 @default.
- W4287241344 hasConcept C179371143 @default.
- W4287241344 hasConcept C202444582 @default.
- W4287241344 hasConcept C33923547 @default.
- W4287241344 hasConcept C37914503 @default.
- W4287241344 hasConcept C62520636 @default.
- W4287241344 hasConcept C84114770 @default.
- W4287241344 hasConcept C85817219 @default.
- W4287241344 hasConceptScore W4287241344C109282560 @default.
- W4287241344 hasConceptScore W4287241344C121332964 @default.
- W4287241344 hasConceptScore W4287241344C126255220 @default.
- W4287241344 hasConceptScore W4287241344C130787639 @default.
- W4287241344 hasConceptScore W4287241344C130979935 @default.
- W4287241344 hasConceptScore W4287241344C158693339 @default.
- W4287241344 hasConceptScore W4287241344C179371143 @default.
- W4287241344 hasConceptScore W4287241344C202444582 @default.
- W4287241344 hasConceptScore W4287241344C33923547 @default.
- W4287241344 hasConceptScore W4287241344C37914503 @default.
- W4287241344 hasConceptScore W4287241344C62520636 @default.
- W4287241344 hasConceptScore W4287241344C84114770 @default.
- W4287241344 hasConceptScore W4287241344C85817219 @default.
- W4287241344 hasLocation W42872413441 @default.
- W4287241344 hasOpenAccess W4287241344 @default.
- W4287241344 hasPrimaryLocation W42872413441 @default.
- W4287241344 hasRelatedWork W1662718078 @default.
- W4287241344 hasRelatedWork W2007642937 @default.
- W4287241344 hasRelatedWork W2042244893 @default.
- W4287241344 hasRelatedWork W2050429390 @default.
- W4287241344 hasRelatedWork W2059301291 @default.
- W4287241344 hasRelatedWork W3149523802 @default.
- W4287241344 hasRelatedWork W3204254600 @default.
- W4287241344 hasRelatedWork W4285045060 @default.
- W4287241344 hasRelatedWork W4287241344 @default.
- W4287241344 hasRelatedWork W4313410848 @default.
- W4287241344 isParatext "false" @default.
- W4287241344 isRetracted "false" @default.
- W4287241344 workType "article" @default.