Matches in SemOpenAlex for { <https://semopenalex.org/work/W1514816143> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W1514816143 abstract "The Quantum Satisfiability problem (QSAT) is the generalization of the canonical NP-complete problem - Boolean Satisfiability. (k,s)-QSAT is the following variant of the problem: given a set of projectors of rank 1, acting non-trivially on k qubits out of n qubits, such that each qubit appears in at most s projectors, decide whether there exists a quantum state in the null space of all the projectors. Let f*(k) be the maximal integer s such that every (k,s)-QSAT instance is Deciding (k,f*(k))-QSAT is computationally easy: by definition the answer is satisfiable. But, by relaxing the conditions slightly, we show that (k,f*(k)+2)-QSAT is QMA_1-hard, for k >=15. This is a quantum analogue of a classical result by Kratochv'il et al. [KST93]. We use the term almost sudden to stress that the complexity of (k,f*(k)+1)-QSAT is open, where the jump in the classical complexity is known to be sudden. We present an implication of this finding to the quantum PCP conjecture, arguably one of the most important open problems in the field of Hamiltonian complexity. Our implications impose constraints on one possible way to refute the quantum PCP." @default.
- W1514816143 created "2016-06-24" @default.
- W1514816143 creator A5089611363 @default.
- W1514816143 date "2013-10-20" @default.
- W1514816143 modified "2023-09-27" @default.
- W1514816143 title "An Almost Sudden Jump in Quantum Complexity" @default.
- W1514816143 cites W1989089374 @default.
- W1514816143 cites W2068871408 @default.
- W1514816143 cites W2146443256 @default.
- W1514816143 cites W2156792066 @default.
- W1514816143 hasPublicationYear "2013" @default.
- W1514816143 type Work @default.
- W1514816143 sameAs 1514816143 @default.
- W1514816143 citedByCount "0" @default.
- W1514816143 crossrefType "posted-content" @default.
- W1514816143 hasAuthorship W1514816143A5089611363 @default.
- W1514816143 hasConcept C114614502 @default.
- W1514816143 hasConcept C118615104 @default.
- W1514816143 hasConcept C121332964 @default.
- W1514816143 hasConcept C126255220 @default.
- W1514816143 hasConcept C130787639 @default.
- W1514816143 hasConcept C203087015 @default.
- W1514816143 hasConcept C2780990831 @default.
- W1514816143 hasConcept C311688 @default.
- W1514816143 hasConcept C33923547 @default.
- W1514816143 hasConcept C39637292 @default.
- W1514816143 hasConcept C62520636 @default.
- W1514816143 hasConcept C6943359 @default.
- W1514816143 hasConcept C84114770 @default.
- W1514816143 hasConceptScore W1514816143C114614502 @default.
- W1514816143 hasConceptScore W1514816143C118615104 @default.
- W1514816143 hasConceptScore W1514816143C121332964 @default.
- W1514816143 hasConceptScore W1514816143C126255220 @default.
- W1514816143 hasConceptScore W1514816143C130787639 @default.
- W1514816143 hasConceptScore W1514816143C203087015 @default.
- W1514816143 hasConceptScore W1514816143C2780990831 @default.
- W1514816143 hasConceptScore W1514816143C311688 @default.
- W1514816143 hasConceptScore W1514816143C33923547 @default.
- W1514816143 hasConceptScore W1514816143C39637292 @default.
- W1514816143 hasConceptScore W1514816143C62520636 @default.
- W1514816143 hasConceptScore W1514816143C6943359 @default.
- W1514816143 hasConceptScore W1514816143C84114770 @default.
- W1514816143 hasLocation W15148161431 @default.
- W1514816143 hasOpenAccess W1514816143 @default.
- W1514816143 hasPrimaryLocation W15148161431 @default.
- W1514816143 hasRelatedWork W1556128349 @default.
- W1514816143 hasRelatedWork W1614234223 @default.
- W1514816143 hasRelatedWork W1936478157 @default.
- W1514816143 hasRelatedWork W1954245352 @default.
- W1514816143 hasRelatedWork W1993731868 @default.
- W1514816143 hasRelatedWork W2153641021 @default.
- W1514816143 hasRelatedWork W2265000518 @default.
- W1514816143 hasRelatedWork W2296189723 @default.
- W1514816143 hasRelatedWork W2884970704 @default.
- W1514816143 hasRelatedWork W2950312321 @default.
- W1514816143 hasRelatedWork W2951398975 @default.
- W1514816143 hasRelatedWork W2952109421 @default.
- W1514816143 hasRelatedWork W2952745732 @default.
- W1514816143 hasRelatedWork W2952808759 @default.
- W1514816143 hasRelatedWork W2953154275 @default.
- W1514816143 hasRelatedWork W2963268109 @default.
- W1514816143 hasRelatedWork W2963380028 @default.
- W1514816143 hasRelatedWork W2964146445 @default.
- W1514816143 hasRelatedWork W3083152809 @default.
- W1514816143 hasRelatedWork W3100219159 @default.
- W1514816143 isParatext "false" @default.
- W1514816143 isRetracted "false" @default.
- W1514816143 magId "1514816143" @default.
- W1514816143 workType "article" @default.