Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Tomas Jochym-O'Connor"'
Publikováno v:
Physical Review Research, Vol 6, Iss 4, p 043007 (2024)
Subsystem quantum error-correcting codes typically involve measuring a sequence of noncommuting parity check operators. They can sometimes exhibit greater fault tolerance than conventional subspace codes, which use commuting checks. However, unlike s
Externí odkaz:
https://doaj.org/article/f10fadad4b6b49128d5704d1ec3bd59f
Publikováno v:
Quantum, Vol 7, p 1122 (2023)
Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension $2+\epsilon$, which admits a fault-tolerant non-Clifford CCZ gate \cite{zhu2021topological}. We investigate the performance of such F
Externí odkaz:
https://doaj.org/article/eba02fb523f64ce49dcb9e9c84f8d59a
Publikováno v:
PRX Quantum, Vol 4, Iss 3, p 030301 (2023)
Shor and Steane ancillae are two well-known methods for fault-tolerant logical measurements, which are successful on small codes and their concatenations. On large quantum low-density-parity-check codes, however, Shor and Steane measurements have imp
Externí odkaz:
https://doaj.org/article/e1b7759f2ead4e8ba967ab091ba83d79
Publikováno v:
PRX Quantum, Vol 3, Iss 3, p 030338 (2022)
We investigate topological order on fractal geometries embedded in n dimensions. We consider the n-dimensional lattice with holes at all length scales the corresponding fractal (Hausdorff) dimension of which is D_{H}=n−δ. In particular, we diagnos
Externí odkaz:
https://doaj.org/article/641357249b08454cb3673efdc0b953d1
Publikováno v:
Physical Review Research, Vol 3, Iss 1, p 013118 (2021)
The design of a four-dimensional toric code is explored with the goal of finding a lattice capable of implementing a logical CCCZ gate transversally. The established lattice is the octaplex tessellation, which is a regular tessellation of four-dimens
Externí odkaz:
https://doaj.org/article/5c4fab17d49c4260b7bba326bc84644d
Autor:
Tomas Jochym-O'Connor
Publikováno v:
Quantum, Vol 3, p 120 (2019)
A method for the implementation of a universal set of fault-tolerant logical gates is presented using homological product codes. In particular, it is shown that one can fault-tolerantly map between different encoded representations of a given logical
Externí odkaz:
https://doaj.org/article/930322fb4fc04211b464a3d9890da1f5
Publikováno v:
Physical Review X, Vol 8, Iss 2, p 021047 (2018)
Stabilizer codes are among the most successful quantum error-correcting codes, yet they have important limitations on their ability to fault tolerantly compute. Here, we introduce a new quantity, the disjointness of the stabilizer code, which, roughl
Externí odkaz:
https://doaj.org/article/ff6258e902e446e4aede4fc39471cab5
Publikováno v:
New Journal of Physics, Vol 19, Iss 11, p 113022 (2017)
We introduce and analyze a new type of decoding algorithm called general color clustering, based on renormalization group methods, to be used in qudit color codes. The performance of this decoder is analyzed under a generalized bit-flip error model,
Externí odkaz:
https://doaj.org/article/4162bb42cf064e94a94bb70d534a0ce2
Autor:
Srinivasan Arunachalam, Vlad Gheorghiu, Tomas Jochym-O’Connor, Michele Mosca, Priyaa Varshinee Srinivasan
Publikováno v:
New Journal of Physics, Vol 17, Iss 12, p 123010 (2015)
We study the robustness of the bucket brigade quantum random access memory model introduced by Giovannetti et al (2008 Phys. Rev. Lett. http://dx.doi.org/10.1103/PhysRevLett.100.160501 100 http://dx.doi.org/10.1103/PhysRevLett.100.160501 ). Due to a
Externí odkaz:
https://doaj.org/article/3396a03b4c1e4e2994b905e2717c2ea0
Publikováno v:
American Physical Society
Physical Review X, Vol 8, Iss 2, p 021047 (2018)
Physical Review X, Vol 8, Iss 2, p 021047 (2018)
Stabilizer codes are among the most successful quantum error-correcting codes, yet they have important limitations on their ability to fault tolerantly compute. Here, we introduce a new quantity, the disjointness of the stabilizer code, which, roughl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2184cb1289d511ecdbd3a9e9dc3a5992
http://hdl.handle.net/1721.1/115586
http://hdl.handle.net/1721.1/115586
