Matches in SemOpenAlex for { <https://semopenalex.org/work/W2802384979> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2802384979 abstract "The probability that a generic real, complex or quaternionic two-qubit state is separable can be considered to be the sum of three contributions. One is from those states that are absolutely separable, that is those (which can not be entangled by unitary transformations) for which the maximal concurrence over spectral orbits (C_{max}) is zero. The other two contributions are from the states for which C_{max} in [0,1/2], and for which C_{max} in [1/2,1]. We have previously (arXiv:0805.0267) found exact formulas for the absolutely separable contributions in terms of the Hilbert-Schmidt metric over the quantum states, and here advance hypotheses as to the exact contributions for C_{max} in [1/2,1]. A crucial element in understanding the other two contributions is the nature of the ratio (R) of the C_{max}-parameterized separability function for the complex states to the square of the comparable function for the real states--both such functions having clearly displayed jump discontinuities at C_{max}=1/2. For C_{max} in [0,1/2], R appears to be of the form 1+ k C_{max}, except near C_{max}=1/2, while for C_{max} in [1/2,1], it seems to be a constant (thus according to the Dyson-index pattern of random matrix theory). Related phenomena also occur for the minimally-degenerate two-qubit states and the qubit-qutrit states. Our results have immediate application to the computation of separability probabilities in terms of other metrics, such as the Bures (minimal monotone) metric. The paper begins with continuous embeddings of the separability probability question in terms of four metrics of interest, using generalized Peres-Horodecki conditions." @default.
- W2802384979 created "2018-05-17" @default.
- W2802384979 creator A5051990622 @default.
- W2802384979 date "2009-05-04" @default.
- W2802384979 modified "2023-10-17" @default.
- W2802384979 title "Dyson index--maximal concurrence relations and generalized Peres-Horodecki separability conditions" @default.
- W2802384979 hasPublicationYear "2009" @default.
- W2802384979 type Work @default.
- W2802384979 sameAs 2802384979 @default.
- W2802384979 citedByCount "0" @default.
- W2802384979 crossrefType "posted-content" @default.
- W2802384979 hasAuthorship W2802384979A5051990622 @default.
- W2802384979 hasConcept C11413529 @default.
- W2802384979 hasConcept C114614502 @default.
- W2802384979 hasConcept C121040770 @default.
- W2802384979 hasConcept C121332964 @default.
- W2802384979 hasConcept C134306372 @default.
- W2802384979 hasConcept C202444582 @default.
- W2802384979 hasConcept C203087015 @default.
- W2802384979 hasConcept C2777843375 @default.
- W2802384979 hasConcept C33923547 @default.
- W2802384979 hasConcept C37914503 @default.
- W2802384979 hasConcept C48103436 @default.
- W2802384979 hasConcept C62520636 @default.
- W2802384979 hasConcept C70710897 @default.
- W2802384979 hasConcept C84114770 @default.
- W2802384979 hasConceptScore W2802384979C11413529 @default.
- W2802384979 hasConceptScore W2802384979C114614502 @default.
- W2802384979 hasConceptScore W2802384979C121040770 @default.
- W2802384979 hasConceptScore W2802384979C121332964 @default.
- W2802384979 hasConceptScore W2802384979C134306372 @default.
- W2802384979 hasConceptScore W2802384979C202444582 @default.
- W2802384979 hasConceptScore W2802384979C203087015 @default.
- W2802384979 hasConceptScore W2802384979C2777843375 @default.
- W2802384979 hasConceptScore W2802384979C33923547 @default.
- W2802384979 hasConceptScore W2802384979C37914503 @default.
- W2802384979 hasConceptScore W2802384979C48103436 @default.
- W2802384979 hasConceptScore W2802384979C62520636 @default.
- W2802384979 hasConceptScore W2802384979C70710897 @default.
- W2802384979 hasConceptScore W2802384979C84114770 @default.
- W2802384979 hasLocation W28023849791 @default.
- W2802384979 hasOpenAccess W2802384979 @default.
- W2802384979 hasPrimaryLocation W28023849791 @default.
- W2802384979 hasRelatedWork W1963122524 @default.
- W2802384979 hasRelatedWork W1968318029 @default.
- W2802384979 hasRelatedWork W2071329215 @default.
- W2802384979 hasRelatedWork W2086639997 @default.
- W2802384979 hasRelatedWork W2172684986 @default.
- W2802384979 hasRelatedWork W2216022947 @default.
- W2802384979 hasRelatedWork W2342435752 @default.
- W2802384979 hasRelatedWork W2509130429 @default.
- W2802384979 hasRelatedWork W2618517863 @default.
- W2802384979 hasRelatedWork W2775838261 @default.
- W2802384979 hasRelatedWork W2898014783 @default.
- W2802384979 hasRelatedWork W2953796837 @default.
- W2802384979 hasRelatedWork W2972182339 @default.
- W2802384979 hasRelatedWork W3038812397 @default.
- W2802384979 hasRelatedWork W3099604359 @default.
- W2802384979 hasRelatedWork W3103721601 @default.
- W2802384979 hasRelatedWork W3104068191 @default.
- W2802384979 hasRelatedWork W3104811438 @default.
- W2802384979 hasRelatedWork W3106267637 @default.
- W2802384979 hasRelatedWork W3187587747 @default.
- W2802384979 isParatext "false" @default.
- W2802384979 isRetracted "false" @default.
- W2802384979 magId "2802384979" @default.
- W2802384979 workType "article" @default.