Matches in SemOpenAlex for { <https://semopenalex.org/work/W3176724360> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W3176724360 endingPage "A3616" @default.
- W3176724360 startingPage "A3592" @default.
- W3176724360 abstract "We consider the optimal control problem of determining electromagnetic pulses for implementing logical gates in a closed quantum system, where the Hamiltonian models the dynamics of coupled superconducting qudits. The quantum state is governed by Schrodinger's equation, which we formulate in terms of the real and imaginary parts of the state vector and solve by the Stormer-Verlet scheme, which is a symplectic partitioned Runge-Kutta method. A novel parameterization of the control functions based on B-splines with carrier waves is introduced. The carrier waves are used to trigger the resonant frequencies in the system Hamiltonian, and the B-spline functions specify their amplitude and phase. This approach allows the number of control parameters to be independent of, and significantly smaller than, the number of time steps for integrating Schrodinger's equation. We present numerical examples of how the proposed technique can be combined with an interior point L-BFGS algorithm for realizing quantum gates, and generalize our approach to calculate risk-neutral controls that are resilient to noise in the Hamiltonian model. The proposed method is also shown to compare favorably with QuTiP/pulse_optim and Grape-Tensorflow." @default.
- W3176724360 created "2021-07-05" @default.
- W3176724360 creator A5008289430 @default.
- W3176724360 creator A5077356201 @default.
- W3176724360 date "2022-11-14" @default.
- W3176724360 modified "2023-09-24" @default.
- W3176724360 title "Optimal Control of Closed Quantum Systems via B-Splines with Carrier Waves" @default.
- W3176724360 cites W1521266393 @default.
- W3176724360 cites W1978533437 @default.
- W3176724360 cites W1988224995 @default.
- W3176724360 cites W1989521361 @default.
- W3176724360 cites W2006443448 @default.
- W3176724360 cites W2011216641 @default.
- W3176724360 cites W2034834444 @default.
- W3176724360 cites W2037303557 @default.
- W3176724360 cites W2043452671 @default.
- W3176724360 cites W2049891421 @default.
- W3176724360 cites W2078553859 @default.
- W3176724360 cites W2092479209 @default.
- W3176724360 cites W2107982977 @default.
- W3176724360 cites W2114265982 @default.
- W3176724360 cites W2120575449 @default.
- W3176724360 cites W2123871098 @default.
- W3176724360 cites W2154196599 @default.
- W3176724360 cites W2197698711 @default.
- W3176724360 cites W2213498014 @default.
- W3176724360 cites W2549030951 @default.
- W3176724360 cites W2606975978 @default.
- W3176724360 cites W2735897232 @default.
- W3176724360 cites W2797451925 @default.
- W3176724360 cites W2913384061 @default.
- W3176724360 cites W2940200844 @default.
- W3176724360 cites W2971455341 @default.
- W3176724360 cites W3028540984 @default.
- W3176724360 cites W3145680767 @default.
- W3176724360 cites W4211189800 @default.
- W3176724360 doi "https://doi.org/10.1137/21m1429618" @default.
- W3176724360 hasPublicationYear "2022" @default.
- W3176724360 type Work @default.
- W3176724360 sameAs 3176724360 @default.
- W3176724360 citedByCount "0" @default.
- W3176724360 crossrefType "journal-article" @default.
- W3176724360 hasAuthorship W3176724360A5008289430 @default.
- W3176724360 hasAuthorship W3176724360A5077356201 @default.
- W3176724360 hasBestOaLocation W31767243602 @default.
- W3176724360 hasConcept C121332964 @default.
- W3176724360 hasConcept C126255220 @default.
- W3176724360 hasConcept C154945302 @default.
- W3176724360 hasConcept C2775924081 @default.
- W3176724360 hasConcept C28826006 @default.
- W3176724360 hasConcept C33923547 @default.
- W3176724360 hasConcept C41008148 @default.
- W3176724360 hasConcept C47446073 @default.
- W3176724360 hasConcept C62520636 @default.
- W3176724360 hasConcept C84114770 @default.
- W3176724360 hasConcept C91575142 @default.
- W3176724360 hasConceptScore W3176724360C121332964 @default.
- W3176724360 hasConceptScore W3176724360C126255220 @default.
- W3176724360 hasConceptScore W3176724360C154945302 @default.
- W3176724360 hasConceptScore W3176724360C2775924081 @default.
- W3176724360 hasConceptScore W3176724360C28826006 @default.
- W3176724360 hasConceptScore W3176724360C33923547 @default.
- W3176724360 hasConceptScore W3176724360C41008148 @default.
- W3176724360 hasConceptScore W3176724360C47446073 @default.
- W3176724360 hasConceptScore W3176724360C62520636 @default.
- W3176724360 hasConceptScore W3176724360C84114770 @default.
- W3176724360 hasConceptScore W3176724360C91575142 @default.
- W3176724360 hasIssue "6" @default.
- W3176724360 hasLocation W31767243601 @default.
- W3176724360 hasLocation W31767243602 @default.
- W3176724360 hasOpenAccess W3176724360 @default.
- W3176724360 hasPrimaryLocation W31767243601 @default.
- W3176724360 hasRelatedWork W1977312703 @default.
- W3176724360 hasRelatedWork W2063396557 @default.
- W3176724360 hasRelatedWork W2063854242 @default.
- W3176724360 hasRelatedWork W2168984976 @default.
- W3176724360 hasRelatedWork W2344465999 @default.
- W3176724360 hasRelatedWork W2351859806 @default.
- W3176724360 hasRelatedWork W2361912628 @default.
- W3176724360 hasRelatedWork W2373820626 @default.
- W3176724360 hasRelatedWork W3158610175 @default.
- W3176724360 hasRelatedWork W3213146639 @default.
- W3176724360 hasVolume "44" @default.
- W3176724360 isParatext "false" @default.
- W3176724360 isRetracted "false" @default.
- W3176724360 magId "3176724360" @default.
- W3176724360 workType "article" @default.