Matches in SemOpenAlex for { <https://semopenalex.org/work/W2010599738> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2010599738 abstract "Given an initial quantum state $|{ensuremath{psi}}_{I}⟩$ and a final quantum state $|{ensuremath{psi}}_{F}⟩$, there exist Hamiltonians $H$ under which $|{ensuremath{psi}}_{I}⟩$ evolves into $|{ensuremath{psi}}_{F}⟩$. Consider the following quantum brachistochrone problem: subject to the constraint that the difference between the largest and smallest eigenvalues of $H$ is held fixed, which $H$ achieves this transformation in the least time $ensuremath{tau}$? For Hermitian Hamiltonians $ensuremath{tau}$ has a nonzero lower bound. However, among non-Hermitian $mathcal{P}mathcal{T}$-symmetric Hamiltonians satisfying the same energy constraint, $ensuremath{tau}$ can be made arbitrarily small without violating the time-energy uncertainty principle. This is because for such Hamiltonians the path from $|{ensuremath{psi}}_{I}⟩$ to $|{ensuremath{psi}}_{F}⟩$ can be made short. The mechanism described here is similar to that in general relativity in which the distance between two space-time points can be made small if they are connected by a wormhole. This result may have applications in quantum computing." @default.
- W2010599738 created "2016-06-24" @default.
- W2010599738 creator A5013557366 @default.
- W2010599738 creator A5034061973 @default.
- W2010599738 creator A5045235607 @default.
- W2010599738 creator A5076612078 @default.
- W2010599738 date "2007-01-24" @default.
- W2010599738 modified "2023-10-12" @default.
- W2010599738 title "Faster than Hermitian Quantum Mechanics" @default.
- W2010599738 cites W1661960065 @default.
- W2010599738 cites W1963736794 @default.
- W2010599738 cites W1967883933 @default.
- W2010599738 cites W1979571846 @default.
- W2010599738 cites W1981989554 @default.
- W2010599738 cites W1990678913 @default.
- W2010599738 cites W1999664967 @default.
- W2010599738 cites W2017028422 @default.
- W2010599738 cites W2032573087 @default.
- W2010599738 cites W2040246371 @default.
- W2010599738 cites W2051235662 @default.
- W2010599738 cites W2056700074 @default.
- W2010599738 cites W2067123857 @default.
- W2010599738 cites W2084903764 @default.
- W2010599738 cites W2087409509 @default.
- W2010599738 cites W2140726841 @default.
- W2010599738 cites W2739884744 @default.
- W2010599738 cites W3101265528 @default.
- W2010599738 cites W3105448191 @default.
- W2010599738 cites W3124032379 @default.
- W2010599738 doi "https://doi.org/10.1103/physrevlett.98.040403" @default.
- W2010599738 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17358747" @default.
- W2010599738 hasPublicationYear "2007" @default.
- W2010599738 type Work @default.
- W2010599738 sameAs 2010599738 @default.
- W2010599738 citedByCount "329" @default.
- W2010599738 countsByYear W20105997382012 @default.
- W2010599738 countsByYear W20105997382013 @default.
- W2010599738 countsByYear W20105997382014 @default.
- W2010599738 countsByYear W20105997382015 @default.
- W2010599738 countsByYear W20105997382016 @default.
- W2010599738 countsByYear W20105997382017 @default.
- W2010599738 countsByYear W20105997382018 @default.
- W2010599738 countsByYear W20105997382019 @default.
- W2010599738 countsByYear W20105997382020 @default.
- W2010599738 countsByYear W20105997382021 @default.
- W2010599738 countsByYear W20105997382022 @default.
- W2010599738 countsByYear W20105997382023 @default.
- W2010599738 crossrefType "journal-article" @default.
- W2010599738 hasAuthorship W2010599738A5013557366 @default.
- W2010599738 hasAuthorship W2010599738A5034061973 @default.
- W2010599738 hasAuthorship W2010599738A5045235607 @default.
- W2010599738 hasAuthorship W2010599738A5076612078 @default.
- W2010599738 hasBestOaLocation W20105997382 @default.
- W2010599738 hasConcept C11413529 @default.
- W2010599738 hasConcept C121332964 @default.
- W2010599738 hasConcept C126255220 @default.
- W2010599738 hasConcept C130787639 @default.
- W2010599738 hasConcept C158693339 @default.
- W2010599738 hasConcept C174084160 @default.
- W2010599738 hasConcept C33923547 @default.
- W2010599738 hasConcept C37914503 @default.
- W2010599738 hasConcept C48103436 @default.
- W2010599738 hasConcept C62520636 @default.
- W2010599738 hasConcept C84114770 @default.
- W2010599738 hasConcept C94940 @default.
- W2010599738 hasConceptScore W2010599738C11413529 @default.
- W2010599738 hasConceptScore W2010599738C121332964 @default.
- W2010599738 hasConceptScore W2010599738C126255220 @default.
- W2010599738 hasConceptScore W2010599738C130787639 @default.
- W2010599738 hasConceptScore W2010599738C158693339 @default.
- W2010599738 hasConceptScore W2010599738C174084160 @default.
- W2010599738 hasConceptScore W2010599738C33923547 @default.
- W2010599738 hasConceptScore W2010599738C37914503 @default.
- W2010599738 hasConceptScore W2010599738C48103436 @default.
- W2010599738 hasConceptScore W2010599738C62520636 @default.
- W2010599738 hasConceptScore W2010599738C84114770 @default.
- W2010599738 hasConceptScore W2010599738C94940 @default.
- W2010599738 hasIssue "4" @default.
- W2010599738 hasLocation W20105997381 @default.
- W2010599738 hasLocation W20105997382 @default.
- W2010599738 hasLocation W20105997383 @default.
- W2010599738 hasOpenAccess W2010599738 @default.
- W2010599738 hasPrimaryLocation W20105997381 @default.
- W2010599738 hasRelatedWork W2066803663 @default.
- W2010599738 hasRelatedWork W2077634892 @default.
- W2010599738 hasRelatedWork W2084517262 @default.
- W2010599738 hasRelatedWork W2086344823 @default.
- W2010599738 hasRelatedWork W2148791664 @default.
- W2010599738 hasRelatedWork W2166158430 @default.
- W2010599738 hasRelatedWork W2256228157 @default.
- W2010599738 hasRelatedWork W2738113076 @default.
- W2010599738 hasRelatedWork W3101671198 @default.
- W2010599738 hasRelatedWork W3122156682 @default.
- W2010599738 hasVolume "98" @default.
- W2010599738 isParatext "false" @default.
- W2010599738 isRetracted "false" @default.
- W2010599738 magId "2010599738" @default.
- W2010599738 workType "article" @default.