Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288021258> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W4288021258 abstract "In blind compression of quantum states, a sender Alice is given a specimen of a quantum state $rho$ drawn from a known ensemble (but without knowing what $rho$ is), and she transmits sufficient quantum data to a receiver Bob so that he can decode a near perfect specimen of $rho$. For many such states drawn iid from the ensemble, the asymptotically achievable rate is the number of qubits required to be transmitted per state. The Holevo information is a lower bound for the achievable rate, and is attained for pure state ensembles, or in the related scenario of entanglement-assisted visible compression of mixed states wherein Alice knows what state is drawn. In this paper, we prove a general and robust lower bound on the achievable rate for ensembles of classical states, which holds even in the least demanding setting when Alice and Bob share free entanglement and a constant per-copy error is allowed. We apply the bound to a specific ensemble of only two states and prove a near-maximal separation (saturating the dimension bound in leading order) between the best achievable rate and the Holevo information for constant error. This also implies that the ensemble is incompressible -- compression does not reduce the communication cost by much. Since the states are classical, the observed incompressibility is not fundamentally quantum mechanical. We lower bound the difference between the achievable rate and the Holevo information in terms of quantitative limitations to clone the specimen or to distinguish the two classical states." @default.
- W4288021258 created "2022-07-26" @default.
- W4288021258 creator A5019412695 @default.
- W4288021258 creator A5057755410 @default.
- W4288021258 creator A5062846033 @default.
- W4288021258 date "2019-11-20" @default.
- W4288021258 modified "2023-09-26" @default.
- W4288021258 title "Incompressibility of classical distributions" @default.
- W4288021258 doi "https://doi.org/10.48550/arxiv.1911.09126" @default.
- W4288021258 hasPublicationYear "2019" @default.
- W4288021258 type Work @default.
- W4288021258 citedByCount "0" @default.
- W4288021258 crossrefType "posted-content" @default.
- W4288021258 hasAuthorship W4288021258A5019412695 @default.
- W4288021258 hasAuthorship W4288021258A5057755410 @default.
- W4288021258 hasAuthorship W4288021258A5062846033 @default.
- W4288021258 hasBestOaLocation W42880212581 @default.
- W4288021258 hasConcept C105795698 @default.
- W4288021258 hasConcept C11413529 @default.
- W4288021258 hasConcept C114614502 @default.
- W4288021258 hasConcept C114671716 @default.
- W4288021258 hasConcept C121040770 @default.
- W4288021258 hasConcept C121332964 @default.
- W4288021258 hasConcept C121864883 @default.
- W4288021258 hasConcept C134306372 @default.
- W4288021258 hasConcept C15706264 @default.
- W4288021258 hasConcept C169699857 @default.
- W4288021258 hasConcept C198104137 @default.
- W4288021258 hasConcept C199360897 @default.
- W4288021258 hasConcept C203087015 @default.
- W4288021258 hasConcept C2777027219 @default.
- W4288021258 hasConcept C33676613 @default.
- W4288021258 hasConcept C33923547 @default.
- W4288021258 hasConcept C41008148 @default.
- W4288021258 hasConcept C48103436 @default.
- W4288021258 hasConcept C5320026 @default.
- W4288021258 hasConcept C62520636 @default.
- W4288021258 hasConcept C77553402 @default.
- W4288021258 hasConcept C84114770 @default.
- W4288021258 hasConceptScore W4288021258C105795698 @default.
- W4288021258 hasConceptScore W4288021258C11413529 @default.
- W4288021258 hasConceptScore W4288021258C114614502 @default.
- W4288021258 hasConceptScore W4288021258C114671716 @default.
- W4288021258 hasConceptScore W4288021258C121040770 @default.
- W4288021258 hasConceptScore W4288021258C121332964 @default.
- W4288021258 hasConceptScore W4288021258C121864883 @default.
- W4288021258 hasConceptScore W4288021258C134306372 @default.
- W4288021258 hasConceptScore W4288021258C15706264 @default.
- W4288021258 hasConceptScore W4288021258C169699857 @default.
- W4288021258 hasConceptScore W4288021258C198104137 @default.
- W4288021258 hasConceptScore W4288021258C199360897 @default.
- W4288021258 hasConceptScore W4288021258C203087015 @default.
- W4288021258 hasConceptScore W4288021258C2777027219 @default.
- W4288021258 hasConceptScore W4288021258C33676613 @default.
- W4288021258 hasConceptScore W4288021258C33923547 @default.
- W4288021258 hasConceptScore W4288021258C41008148 @default.
- W4288021258 hasConceptScore W4288021258C48103436 @default.
- W4288021258 hasConceptScore W4288021258C5320026 @default.
- W4288021258 hasConceptScore W4288021258C62520636 @default.
- W4288021258 hasConceptScore W4288021258C77553402 @default.
- W4288021258 hasConceptScore W4288021258C84114770 @default.
- W4288021258 hasLocation W42880212581 @default.
- W4288021258 hasLocation W42880212582 @default.
- W4288021258 hasOpenAccess W4288021258 @default.
- W4288021258 hasPrimaryLocation W42880212581 @default.
- W4288021258 hasRelatedWork W1972494740 @default.
- W4288021258 hasRelatedWork W2114009347 @default.
- W4288021258 hasRelatedWork W2329859076 @default.
- W4288021258 hasRelatedWork W2766150966 @default.
- W4288021258 hasRelatedWork W2798271477 @default.
- W4288021258 hasRelatedWork W2891145544 @default.
- W4288021258 hasRelatedWork W2971427571 @default.
- W4288021258 hasRelatedWork W3040174801 @default.
- W4288021258 hasRelatedWork W3187261695 @default.
- W4288021258 hasRelatedWork W4288021258 @default.
- W4288021258 isParatext "false" @default.
- W4288021258 isRetracted "false" @default.
- W4288021258 workType "article" @default.