Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308165198> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4308165198 abstract "Statistical mechanics mappings provide key insights on quantum error correction. However, existing mappings assume incoherent noise, thus ignoring coherent errors due to, e.g., spurious gate rotations. We map the surface code with coherent errors, taken as $X$- or $Z$-rotations (replacing bit or phase flips), to a two-dimensional (2D) Ising model with complex couplings, and further to a 2D Majorana scattering network. Our mappings reveal both commonalities and qualitative differences in correcting coherent and incoherent errors. For both, the error-correcting phase maps, as we explicitly show by linking 2D networks to 1D fermions, to a $mathbb{Z}_2$-nontrivial 2D insulator. However, beyond a rotation angle $phi_text{th}$, instead of a $mathbb{Z}_2$-trivial insulator as for incoherent errors, coherent errors map to a Majorana metal. This $phi_text{th}$ is the theoretically achievable storage threshold. We numerically find $phi_text{th}approx0.14pi$. The corresponding bit-flip rate $sin^2(phi_text{th})approx 0.18$ exceeds the known incoherent threshold $p_text{th}approx0.11$." @default.
- W4308165198 created "2022-11-08" @default.
- W4308165198 creator A5003936492 @default.
- W4308165198 creator A5008870952 @default.
- W4308165198 creator A5073313814 @default.
- W4308165198 date "2022-11-01" @default.
- W4308165198 modified "2023-09-28" @default.
- W4308165198 title "Coherent error threshold for surface codes from Majorana delocalization" @default.
- W4308165198 doi "https://doi.org/10.48550/arxiv.2211.00655" @default.
- W4308165198 hasPublicationYear "2022" @default.
- W4308165198 type Work @default.
- W4308165198 citedByCount "0" @default.
- W4308165198 crossrefType "posted-content" @default.
- W4308165198 hasAuthorship W4308165198A5003936492 @default.
- W4308165198 hasAuthorship W4308165198A5008870952 @default.
- W4308165198 hasAuthorship W4308165198A5073313814 @default.
- W4308165198 hasBestOaLocation W43081651981 @default.
- W4308165198 hasConcept C105795698 @default.
- W4308165198 hasConcept C121332964 @default.
- W4308165198 hasConcept C121864883 @default.
- W4308165198 hasConcept C2778761060 @default.
- W4308165198 hasConcept C33923547 @default.
- W4308165198 hasConcept C51329190 @default.
- W4308165198 hasConcept C52233224 @default.
- W4308165198 hasConcept C58053490 @default.
- W4308165198 hasConcept C62520636 @default.
- W4308165198 hasConcept C84114770 @default.
- W4308165198 hasConcept C84883863 @default.
- W4308165198 hasConcept C97256817 @default.
- W4308165198 hasConceptScore W4308165198C105795698 @default.
- W4308165198 hasConceptScore W4308165198C121332964 @default.
- W4308165198 hasConceptScore W4308165198C121864883 @default.
- W4308165198 hasConceptScore W4308165198C2778761060 @default.
- W4308165198 hasConceptScore W4308165198C33923547 @default.
- W4308165198 hasConceptScore W4308165198C51329190 @default.
- W4308165198 hasConceptScore W4308165198C52233224 @default.
- W4308165198 hasConceptScore W4308165198C58053490 @default.
- W4308165198 hasConceptScore W4308165198C62520636 @default.
- W4308165198 hasConceptScore W4308165198C84114770 @default.
- W4308165198 hasConceptScore W4308165198C84883863 @default.
- W4308165198 hasConceptScore W4308165198C97256817 @default.
- W4308165198 hasLocation W43081651981 @default.
- W4308165198 hasOpenAccess W4308165198 @default.
- W4308165198 hasPrimaryLocation W43081651981 @default.
- W4308165198 hasRelatedWork W1408535915 @default.
- W4308165198 hasRelatedWork W2048139618 @default.
- W4308165198 hasRelatedWork W2073997564 @default.
- W4308165198 hasRelatedWork W2078999952 @default.
- W4308165198 hasRelatedWork W2775584275 @default.
- W4308165198 hasRelatedWork W2964174067 @default.
- W4308165198 hasRelatedWork W3009194051 @default.
- W4308165198 hasRelatedWork W3100358852 @default.
- W4308165198 hasRelatedWork W3105115984 @default.
- W4308165198 hasRelatedWork W3109211544 @default.
- W4308165198 isParatext "false" @default.
- W4308165198 isRetracted "false" @default.
- W4308165198 workType "article" @default.