FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3167638555> ?p ?o ?g. }

• W3167638555 abstract "Motivated by the recent experimental demonstrations of quantum supremacy, proving the hardness of the output of random quantum circuits is an imperative near term goal. We prove under the complexity theoretical assumption of the non-collapse of the polynomial hierarchy that approximating the output probabilities of random quantum circuits to within $exp(-Omega(mlog m))$ additive error is hard for any classical computer, where $m$ is the number of gates in the quantum computation. More precisely, we show that the above problem is $#mathsf{P}$-hard under $mathsf{BPP}^{mathsf{NP}}$ reduction. In the recent experiments, the quantum circuit has $n$-qubits and the architecture is a two-dimensional grid of size $sqrt{n}timessqrt{n}$. Indeed for constant depth circuits approximating the output probabilities to within $2^{-Omega(nlog{n})}$ is hard. For circuits of depth $log{n}$ or $sqrt{n}$ for which the anti-concentration property holds, approximating the output probabilities to within $2^{-Omega(nlog^2{n})}$ and $2^{-Omega(n^{3/2}log n)}$ is hard respectively. We made an effort to find the best proofs and proved these results from first principles, which do not use the standard techniques such as the Berlekamp--Welch algorithm, the usual Paturi's lemma, and Rakhmanov's result." @default.
• W3167638555 created "2021-06-22" @default.
• W3167638555 creator A5028668037 @default.
• W3167638555 creator A5056471458 @default.
• W3167638555 creator A5066166270 @default.
• W3167638555 date "2021-02-03" @default.
• W3167638555 modified "2023-09-27" @default.
• W3167638555 title "Improved robustness of quantum supremacy for random circuit sampling" @default.
• W3167638555 cites W1527197079 @default.
• W3167638555 cites W1590419653 @default.
• W3167638555 cites W1993292204 @default.
• W3167638555 cites W2012206667 @default.
• W3167638555 cites W2014603110 @default.
• W3167638555 cites W2025070700 @default.
• W3167638555 cites W2084652510 @default.
• W3167638555 cites W2098752694 @default.
• W3167638555 cites W2111166346 @default.
• W3167638555 cites W2117584890 @default.
• W3167638555 cites W2125839646 @default.
• W3167638555 cites W2137147061 @default.
• W3167638555 cites W2528010580 @default.
• W3167638555 cites W2891685619 @default.
• W3167638555 cites W2896437679 @default.
• W3167638555 cites W2897579646 @default.
• W3167638555 cites W2997092474 @default.
• W3167638555 cites W3025214758 @default.
• W3167638555 cites W3080688664 @default.
• W3167638555 cites W3108527000 @default.
• W3167638555 cites W3117932051 @default.
• W3167638555 cites W3126253572 @default.
• W3167638555 cites W1871606885 @default.
• W3167638555 hasPublicationYear "2021" @default.
• W3167638555 type Work @default.
• W3167638555 sameAs 3167638555 @default.
• W3167638555 citedByCount "4" @default.
• W3167638555 countsByYear W31676385552020 @default.
• W3167638555 countsByYear W31676385552021 @default.
• W3167638555 crossrefType "posted-content" @default.
• W3167638555 hasAuthorship W3167638555A5028668037 @default.
• W3167638555 hasAuthorship W3167638555A5056471458 @default.
• W3167638555 hasAuthorship W3167638555A5066166270 @default.
• W3167638555 hasConcept C114614502 @default.
• W3167638555 hasConcept C118615104 @default.
• W3167638555 hasConcept C121332964 @default.
• W3167638555 hasConcept C124148022 @default.
• W3167638555 hasConcept C134146338 @default.
• W3167638555 hasConcept C137019171 @default.
• W3167638555 hasConcept C18903297 @default.
• W3167638555 hasConcept C203087015 @default.
• W3167638555 hasConcept C2776013622 @default.
• W3167638555 hasConcept C2777759810 @default.
• W3167638555 hasConcept C2779557605 @default.
• W3167638555 hasConcept C311688 @default.
• W3167638555 hasConcept C33923547 @default.
• W3167638555 hasConcept C46757340 @default.
• W3167638555 hasConcept C51003876 @default.
• W3167638555 hasConcept C58053490 @default.
• W3167638555 hasConcept C62520636 @default.
• W3167638555 hasConcept C63553672 @default.
• W3167638555 hasConcept C84114770 @default.
• W3167638555 hasConcept C86803240 @default.
• W3167638555 hasConcept C90702460 @default.
• W3167638555 hasConceptScore W3167638555C114614502 @default.
• W3167638555 hasConceptScore W3167638555C118615104 @default.
• W3167638555 hasConceptScore W3167638555C121332964 @default.
• W3167638555 hasConceptScore W3167638555C124148022 @default.
• W3167638555 hasConceptScore W3167638555C134146338 @default.
• W3167638555 hasConceptScore W3167638555C137019171 @default.
• W3167638555 hasConceptScore W3167638555C18903297 @default.
• W3167638555 hasConceptScore W3167638555C203087015 @default.
• W3167638555 hasConceptScore W3167638555C2776013622 @default.
• W3167638555 hasConceptScore W3167638555C2777759810 @default.
• W3167638555 hasConceptScore W3167638555C2779557605 @default.
• W3167638555 hasConceptScore W3167638555C311688 @default.
• W3167638555 hasConceptScore W3167638555C33923547 @default.
• W3167638555 hasConceptScore W3167638555C46757340 @default.
• W3167638555 hasConceptScore W3167638555C51003876 @default.
• W3167638555 hasConceptScore W3167638555C58053490 @default.
• W3167638555 hasConceptScore W3167638555C62520636 @default.
• W3167638555 hasConceptScore W3167638555C63553672 @default.
• W3167638555 hasConceptScore W3167638555C84114770 @default.
• W3167638555 hasConceptScore W3167638555C86803240 @default.
• W3167638555 hasConceptScore W3167638555C90702460 @default.
• W3167638555 hasLocation W31676385551 @default.
• W3167638555 hasOpenAccess W3167638555 @default.
• W3167638555 hasPrimaryLocation W31676385551 @default.
• W3167638555 hasRelatedWork W1607773857 @default.
• W3167638555 hasRelatedWork W1618756527 @default.
• W3167638555 hasRelatedWork W1915058039 @default.
• W3167638555 hasRelatedWork W2002068271 @default.
• W3167638555 hasRelatedWork W2026339776 @default.
• W3167638555 hasRelatedWork W2094783265 @default.
• W3167638555 hasRelatedWork W2175125908 @default.
• W3167638555 hasRelatedWork W2394746612 @default.
• W3167638555 hasRelatedWork W2753798687 @default.
• W3167638555 hasRelatedWork W2889078076 @default.
• W3167638555 hasRelatedWork W2891685619 @default.
• W3167638555 hasRelatedWork W2934525487 @default.
• W3167638555 hasRelatedWork W2953263615 @default.
• W3167638555 hasRelatedWork W2978517333 @default.

• next