FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100673357> ?p ?o ?g. }

• W3100673357 endingPage "155203" @default.
• W3100673357 startingPage "155203" @default.
• W3100673357 abstract "The question of open-loop control in the Gaussian regime may be cast by asking which Gaussian unitary transformations are reachable by turning on and off a given set of quadratic Hamiltonians. For compact groups, including finite dimensional unitary groups, the well known Lie algebra rank criterion provides a sufficient and necessary condition for the reachable set to cover the whole group. Because of the non-compact nature of the symplectic group, which corresponds to Gaussian unitary transformations, this criterion turns out to be still necessary but not sufficient for Gaussian systems. If the control Hamiltonians are unstable, in a sense made rigorous in the main text, the peculiar situation may arise where the rank criterion is satisfied and yet not all symplectic transformations are reachable. Here, we address this situation for one degree of freedom and study the properties of the reachable set under unstable control Hamiltonians. First, we provide a partial analytical characterisation of the reachable set and prove that no orthogonal (`energy-preserving' or `passive' in the literature) symplectic operations may be reached with such controls. Then, we apply numerical optimal control algorithms to demonstrate a complete characterisation of the set in specific cases." @default.
• W3100673357 created "2020-11-23" @default.
• W3100673357 creator A5022199323 @default.
• W3100673357 creator A5022997623 @default.
• W3100673357 creator A5038680398 @default.
• W3100673357 creator A5044459179 @default.
• W3100673357 creator A5064992447 @default.
• W3100673357 date "2017-03-14" @default.
• W3100673357 modified "2023-10-02" @default.
• W3100673357 title "The reachable set of single-mode quadratic Hamiltonians" @default.
• W3100673357 cites W148027760 @default.
• W3100673357 cites W1970948459 @default.
• W3100673357 cites W1978533437 @default.
• W3100673357 cites W1992055308 @default.
• W3100673357 cites W1995672555 @default.
• W3100673357 cites W2000359198 @default.
• W3100673357 cites W2013220879 @default.
• W3100673357 cites W2015775746 @default.
• W3100673357 cites W2027807896 @default.
• W3100673357 cites W2046963118 @default.
• W3100673357 cites W2048641545 @default.
• W3100673357 cites W2057285417 @default.
• W3100673357 cites W2085173595 @default.
• W3100673357 cites W2092751975 @default.
• W3100673357 cites W2097293843 @default.
• W3100673357 cites W2118492081 @default.
• W3100673357 cites W2154196599 @default.
• W3100673357 cites W2159986543 @default.
• W3100673357 cites W2478509510 @default.
• W3100673357 cites W2501142942 @default.
• W3100673357 cites W4230212194 @default.
• W3100673357 cites W4238156144 @default.
• W3100673357 cites W562706110 @default.
• W3100673357 cites W588713881 @default.
• W3100673357 doi "https://doi.org/10.1088/1751-8121/aa6243" @default.
• W3100673357 hasPublicationYear "2017" @default.
• W3100673357 type Work @default.
• W3100673357 sameAs 3100673357 @default.
• W3100673357 citedByCount "7" @default.
• W3100673357 countsByYear W31006733572017 @default.
• W3100673357 countsByYear W31006733572018 @default.
• W3100673357 countsByYear W31006733572021 @default.
• W3100673357 countsByYear W31006733572022 @default.
• W3100673357 crossrefType "journal-article" @default.
• W3100673357 hasAuthorship W3100673357A5022199323 @default.
• W3100673357 hasAuthorship W3100673357A5022997623 @default.
• W3100673357 hasAuthorship W3100673357A5038680398 @default.
• W3100673357 hasAuthorship W3100673357A5044459179 @default.
• W3100673357 hasAuthorship W3100673357A5064992447 @default.
• W3100673357 hasBestOaLocation W31006733572 @default.
• W3100673357 hasConcept C114614502 @default.
• W3100673357 hasConcept C121332964 @default.
• W3100673357 hasConcept C129844170 @default.
• W3100673357 hasConcept C163716315 @default.
• W3100673357 hasConcept C164226766 @default.
• W3100673357 hasConcept C168619227 @default.
• W3100673357 hasConcept C177264268 @default.
• W3100673357 hasConcept C17744445 @default.
• W3100673357 hasConcept C199360897 @default.
• W3100673357 hasConcept C199539241 @default.
• W3100673357 hasConcept C202444582 @default.
• W3100673357 hasConcept C2524010 @default.
• W3100673357 hasConcept C33923547 @default.
• W3100673357 hasConcept C41008148 @default.
• W3100673357 hasConcept C62520636 @default.
• W3100673357 hasConcept C67820243 @default.
• W3100673357 hasConceptScore W3100673357C114614502 @default.
• W3100673357 hasConceptScore W3100673357C121332964 @default.
• W3100673357 hasConceptScore W3100673357C129844170 @default.
• W3100673357 hasConceptScore W3100673357C163716315 @default.
• W3100673357 hasConceptScore W3100673357C164226766 @default.
• W3100673357 hasConceptScore W3100673357C168619227 @default.
• W3100673357 hasConceptScore W3100673357C177264268 @default.
• W3100673357 hasConceptScore W3100673357C17744445 @default.
• W3100673357 hasConceptScore W3100673357C199360897 @default.
• W3100673357 hasConceptScore W3100673357C199539241 @default.
• W3100673357 hasConceptScore W3100673357C202444582 @default.
• W3100673357 hasConceptScore W3100673357C2524010 @default.
• W3100673357 hasConceptScore W3100673357C33923547 @default.
• W3100673357 hasConceptScore W3100673357C41008148 @default.
• W3100673357 hasConceptScore W3100673357C62520636 @default.
• W3100673357 hasConceptScore W3100673357C67820243 @default.
• W3100673357 hasFunder F4320334627 @default.
• W3100673357 hasIssue "15" @default.
• W3100673357 hasLocation W31006733571 @default.
• W3100673357 hasLocation W31006733572 @default.
• W3100673357 hasLocation W31006733573 @default.
• W3100673357 hasLocation W31006733574 @default.
• W3100673357 hasLocation W31006733575 @default.
• W3100673357 hasLocation W31006733576 @default.
• W3100673357 hasLocation W31006733577 @default.
• W3100673357 hasLocation W31006733578 @default.
• W3100673357 hasOpenAccess W3100673357 @default.
• W3100673357 hasPrimaryLocation W31006733571 @default.
• W3100673357 hasRelatedWork W1995623237 @default.
• W3100673357 hasRelatedWork W2072561716 @default.
• W3100673357 hasRelatedWork W2087734572 @default.
• W3100673357 hasRelatedWork W2560565190 @default.

• next