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pro vyhledávání: '"Bombin, H."'
Autor:
Bombin, H.
Publikováno v:
Phys. Rev. X 6, 041034 (2016)
Fault-tolerant quantum computation techniques rely on weakly correlated noise. Here I show that it is enough to assume weak spatial correlations: time correlations can take any form. In particular, single-shot error correction techniques exhibit a no
Externí odkaz:
http://arxiv.org/abs/1605.03679
Publikováno v:
Phys. Rev. A 94, 012318 (2016)
Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be calculated
Externí odkaz:
http://arxiv.org/abs/1603.08729
Autor:
Bombin, H.
Publikováno v:
New Journal of Physics 18, 4, 043038 (2016)
Topological stabilizer codes with different spatial dimensions have complementary properties. Here I show that the spatial dimension can be switched using gauge fixing. Combining 2D and 3D gauge color codes in a 3D qubit lattice, fault-tolerant quant
Externí odkaz:
http://arxiv.org/abs/1412.5079
Autor:
Bombin, H.
Publikováno v:
Phys. Rev. X 5, 031043 (2015)
Conventional quantum error correcting codes require multiple rounds of measurements to detect errors with enough confidence in fault-tolerant scenarios. Here I show that for suitable topological codes a single round of local measurements is enough. T
Externí odkaz:
http://arxiv.org/abs/1404.5504
Autor:
Bombin, H.
Publikováno v:
New J. Phys. 17 (2015) 083002
Color codes are topological stabilizer codes with unusual transversality properties. Here I show that their group of transversal gates is optimal and only depends on the spatial dimension, not the local geometry. I also introduce a generalized, subsy
Externí odkaz:
http://arxiv.org/abs/1311.0879
Autor:
Bombin, H.
Publikováno v:
"Topological Codes", in "Quantum Error Correction", edited by Daniel A. Lidar and Todd A. Brun, Cambridge University Press, New York, 2013
This is the chapter \emph{Topological Codes} of the book \emph{Quantum Error Correction}, edited by Daniel A. Lidar and Todd A. Brun, Cambridge University Press, New York, 2013. http://www.cambridge.org/us/academic/subjects/physics/quantum-physics-qu
Externí odkaz:
http://arxiv.org/abs/1311.0277
Publikováno v:
Phys. Rev. A 85, 050302(R) (2012)
A promising approach to overcome decoherence in quantum computing schemes is to perform active quantum error correction using topology. Topological subsystem codes incorporate both the benefits of topological and subsystem codes, allowing for error s
Externí odkaz:
http://arxiv.org/abs/1204.1838
Autor:
Bombin, H., Andrist, Ruben S., Ohzeki, Masayuki, Katzgraber, Helmut G., Martin-Delgado, M. A.
Publikováno v:
Phys. Rev. X 2, 021004 (2012)
The inevitable presence of decoherence effects in systems suitable for quantum computation necessitates effective error-correction schemes to protect information from noise. We compute the stability of the toric code to depolarization by mapping the
Externí odkaz:
http://arxiv.org/abs/1202.1852
Autor:
Bombin, H.
Publikováno v:
Commun. Math. Phys. 327, 387-432 (2014)
We provide a detailed study of the general structure of two-dimensional topological stabilizer quantum error correcting codes, including subsystem codes. Under the sole assumption of translational invariance, we show that all such codes can be unders
Externí odkaz:
http://arxiv.org/abs/1107.2707
Publikováno v:
New J. Phys. 14 (2012) 073048
Two topological phases are equivalent if they are connected by a local unitary transformation. In this sense, classifying topological phases amounts to classifying long-range entanglement patterns. We show that all 2D topological stabilizer codes are
Externí odkaz:
http://arxiv.org/abs/1103.4606