Modeling coherent errors in quantum error correction

doi:10.1088/2058-9565/aa9a06

2017-12-20

Daniel Greenbaum *

Dutton, Zachary

DOI：10.1088/2058-9565/aa9a06

原文链接

查看原文

摘要

En 中文

Analysis of quantum error correcting codes is typically done using a stochastic, Pauli channel error model for describing the noise on physical qubits. However, it was recently found that coherent errors (systematic rotations) on physical data qubits result in both physical and logical error rates that differ significantly from those predicted by a Pauli model. Here we examine the accuracy of the Pauli approximation for noise containing coherent errors (characterized by a rotation angle epsilon) under the repetition code. We derive an analytic expression for the logical error channel as a function of arbitrary code distance d and concatenation level n, in the small error limit. We find that coherent physical errors result in logical errors that are partially coherent and therefore non-Pauli. However, the coherent part of the logical error is negligible at fewer than epsilon(-)(d(n)-1) error correction cycles when the decoder is optimized for independent Pauli errors, thus providing a regime of validity for the Pauli approximation. Above this number of correction cycles, the persistent coherent logical error will cause logical failure more quickly than the Pauli model would predict, and this may need to be combated with coherent suppression methods at the physical level or larger codes.

Keyword:

quantum computing

quantum error correction

decoherence

fault tolerance

AI总结

对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Quantum Science and Technology

IF:

论文数:

1.4K

被引数:

5.1K

机构

raytheon technologies

学者数:

612

论文数: 518

被引数: 1

引用论文

Mining Pro-ISIS Radicalisation Signals from Social Media Users

Proceedings of the International AAAI Conference on Web and Social Media

IF0

2021-08-04

OAAI

Matthew Rowe; Hassan Saif

Phase transitions in warm, asymmetric nuclear matter

Physical Review C

IF0

1995-10-01

OAAI

Horst Müller; Brian D. Serot

Studying Primate Color: Towards Visual System-dependent Methods

International Journal of Primatology

IF0

2009-05-19

PREAI

Martin Stevens; Mary Caswell Stoddard; James P. Higham

Aerobic microbial dolomite at the nanometer scale: Implications for the geologic record

Geology

IF0

2008-01-01

PREAI

Mónica Sánchez-Román; Crisógono Vasconcelos; Thomas Schmid; Maria Dittrich; Judith A. McKenzie; Renato Zenobi; Maria A. Rivadeneyra

Generalized performance of concatenated quantum codes - A dynamical systems approach 级联量子代码的广义性能-动力系统方法

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

IF7

2006-03-01

OAAI

Fern, J; Kempe, J; Simic, SN; Sastry, S

Search for a Two-Higgs-Boson Doublet Using a Simplified Model inpp¯Collisions ats=1.96 TeV

Physical Review Letters

IF0

2013-03-18

OAAI

T. Aaltonen; J. Adelman; B. Álvarez González; S. Amerio; D. Amidei; A. Anastassov; A. Annovi; J. Antos; G. Apollinari; J. A. Appel; T. Arisawa; A. Artikov; J. Asaadi; W. Ashmanskas; B. Auerbach; A. Aurisano; F. Azfar; W. Badgett; T. Bae; A. Barbaro-Galtieri; V. E. Barnes; B. A. Barnett; P. Barria; P. Bartos; M. Bauce; F. Bedeschi; S. Behari; G. Bellettini; J. Bellinger; D. Benjamin; A. Beretvas; A. Bhatti; D. Bisello; I. Bizjak; K. R. Bland; B. Blumenfeld; A. Bocci; A. Bodek; D. Bortoletto; J. Boudreau; A. Boveia; L. Brigliadori; C. Bromberg; E. Brucken; J. Budagov; H. S. Budd; K. Burkett; G. Busetto; P. Bussey; A. Buzatu; A. Calamba; C. Calancha; S. Camarda; M. Campanelli; M. Campbell; F. Canelli; B. Carls; D. Carlsmith; R. Carosi; S. Carrillo; S. Carron; B. Casal; M. Casarsa; A. Castro; P. Catastini; D. Cauz; V. Cavaliere; M. Cavalli-Sforza; A. Cerri; L. Cerrito; Y. C. Chen; M. Chertok; G. Chiarelli; G. Chlachidze; F. Chlebana; K. Cho; D. Chokheli; W. H. Chung; Y. S. Chung; M. A. Ciocci; A. Clark; C. Clarke; G. Compostella; M. E. Convery; J. Conway; M. Corbo; M. Cordelli; C. A. Cox; D. J. Cox; F. Crescioli; J. Cuevas; R. Culbertson; D. Dagenhart; N. d’Ascenzo; M. Datta; P. de Barbaro; M. Dell’Orso; L. Demortier; M. Deninno; F. Devoto; M. d’Errico; A. Di Canto; B. Di Ruzza; J. R. Dittmann; M. D’Onofrio; S. Donati; P. Dong; M. Dorigo; T. Dorigo; K. Ebina; A. Elagin; A. Eppig; R. Erbacher; S. Errede; N. Ershaidat; R. Eusebi; S. Farrington; M. Feindt; J. P. Fernandez; R. Field; G. Flanagan; R. Forrest; M. J. Frank; M. Franklin; J. C. Freeman; Y. Funakoshi; I. Furic; M. Gallinaro; J. E. Garcia; A. F. Garfinkel; P. Garosi; H. Gerberich; E. Gerchtein; S. Giagu; V. Giakoumopoulou; P. Giannetti; K. Gibson; C. M. Ginsburg; N. Giokaris; P. Giromini; G. Giurgiu; V. Glagolev; D. Glenzinski; M. Gold; D. Goldin; N. Goldschmidt; A. Golossanov; G. Gomez; G. Gomez-Ceballos; M. Goncharov; O. González; I. Gorelov; A. T. Goshaw; K. Goulianos; S. Grinstein; C. Grosso-Pilcher; R. C. Group; J. Guimaraes da Costa; S. R. Hahn; E. Halkiadakis; A. Hamaguchi; J. Y. Han; F. Happacher; K. Hara; D. Hare; M. Hare; R. F. Harr; K. Hatakeyama; C. Hays; M. Heck; J. Heinrich; M. Herndon; S. Hewamanage; A. Hocker; W. Hopkins; D. Horn; S. Hou; R. E. Hughes; M. Hurwitz; U. Husemann; N. Hussain; M. Hussein; J. Huston; G. Introzzi; M. Iori; A. Ivanov; E. James; D. Jang; B. Jayatilaka; E. J. Jeon; S. Jindariani; A. Johnstone; M. Jones; K. K. Joo; S. Y. Jun; T. R. Junk; T. Kamon; P. E. Karchin; A. Kasmi; Y. Kato; W. Ketchum; J. Keung; V. Khotilovich; B. Kilminster; D. H. Kim; H. S. Kim; J. E. Kim; M. J. Kim; S. B. Kim; S. H. Kim; Y. K. Kim; Y. J. Kim; N. Kimura; M. Kirby; S. Klimenko; K. Knoepfel; K. Kondo; D. J. Kong; J. Konigsberg; A. V. Kotwal; M. Kreps; J. Kroll; D. Krop; M. Kruse; V. Krutelyov; T. Kuhr; M. Kurata; S. Kwang; A. T. Laasanen; S. Lami; S. Lammel; M. Lancaster; R. L. Lander; K. Lannon; A. Lath; G. Latino; T. LeCompte; E. Lee; H. S. Lee; J. S. Lee; S. W. Lee; S. Leo; S. Leone; J. D. Lewis; A. Limosani; C.-J. Lin; M. Lindgren; E. Lipeles; A. Lister; D. O. Litvintsev; C. Liu; H. Liu; Q. Liu; T. Liu; S. Lockwitz; A. Loginov; D. Lucchesi; J. Lueck; P. Lujan; P. Lukens; G. Lungu; J. Lys; R. Lysak; R. Madrak; K. Maeshima; P. Maestro; S. Malik; G. Manca; A. Manousakis-Katsikakis; F. Margaroli; C. Marino; M. Martínez; P. Mastrandrea; K. Matera; M. E. Mattson; A. Mazzacane; P. Mazzanti; K. S. McFarland; P. McIntyre; R. McNulty; A. Mehta; P. Mehtala; C. Mesropian; T. Miao; D. Mietlicki; A. Mitra; H. Miyake; S. Moed; N. Moggi; M. N. Mondragon; C. S. Moon; R. Moore; M. J. Morello; J. Morlock; P. Movilla Fernandez; A. Mukherjee; Th. Muller; P. Murat; M. Mussini; J. Nachtman; Y. Nagai; J. Naganoma; I. Nakano; A. Napier; J. Nett; C. Neu; M. S. Neubauer; J. Nielsen; L. Nodulman; S. Y. Noh; O. Norniella; L. Oakes; S. H. Oh; Y. D. Oh; I. Oksuzian; T. Okusawa; R. Orava; L. Ortolan; S. Pagan Griso; C. Pagliarone; E. Palencia; V. Papadimitriou; A. A. Paramonov; J. Patrick; G. Pauletta; M. Paulini; C. Paus; D. E. Pellett; A. Penzo; T. J. Phillips; G. Piacentino; E. Pianori; J. Pilot; K. Pitts; C. Plager; L. Pondrom; S. Poprocki; K. Potamianos; F. Prokoshin; A. Pranko; F. Ptohos; G. Punzi; A. Rahaman; V. Ramakrishnan; N. Ranjan; K. Rao; I. Redondo; P. Renton; M. Rescigno; T. Riddick; F. Rimondi; L. Ristori; A. Robson; T. Rodrigo; T. Rodriguez; E. Rogers; S. Rolli; R. Roser; F. Ruffini; A. Ruiz; J. Russ; V. Rusu; A. Safonov; W. K. Sakumoto; Y. Sakurai; L. Santi; K. Sato; V. Saveliev; A. Savoy-Navarro; P. Schlabach; A. Schmidt; E. E. Schmidt; T. Schwarz; L. Scodellaro; A. Scribano; F. Scuri; S. Seidel; Y. Seiya; A. Semenov; F. Sforza; S. Z. Shalhout; T. Shears; P. F. Shepard; M. Shimojima; M. Shochet; I. Shreyber-Tecker; A. Simonenko; P. Sinervo; K. Sliwa; J. R. Smith; F. D. Snider; A. Soha; V. Sorin; H. Song; P. Squillacioti; M. Stancari; R. St. Denis; B. Stelzer; O. Stelzer-Chilton; D. Stentz; J. Strologas; G. L. Strycker; Y. Sudo; A. Sukhanov; I. Suslov; K. Takemasa; Y. Takeuchi; J. Tang; M. Tecchio; P. K. Teng; J. Thom; J. Thome; G. A. Thompson; E. Thomson; D. Toback; S. Tokar; K. Tollefson; T. Tomura; D. Tonelli; S. Torre; D. Torretta; P. Totaro; M. Trovato; A. Truong; F. Ukegawa; S. Uozumi; A. Varganov; F. Vázquez; G. Velev; C. Vellidis; M. Vidal; I. Vila; R. Vilar; J. Vizán; M. Vogel; G. Volpi; P. Wagner; R. L. Wagner; T. Wakisaka; R. Wallny; S. M. Wang; A. Warburton; D. Waters; W. C. Wester; D. Whiteson; A. B. Wicklund; E. Wicklund; S. Wilbur; F. Wick; H. H. Williams; J. S. Wilson; P. Wilson; B. L. Winer; P. Wittich; S. Wolbers; H. Wolfe; T. Wright; X. Wu; Z. Wu; K. Yamamoto; D. Yamato; T. Yang; U. K. Yang; Y. C. Yang; W.-M. Yao; G. P. Yeh; K. Yi; J. Yoh; K. Yorita; T. Yoshida; G. B. Yu; I. Yu; S. S. Yu; J. C. Yun; A. Zanetti; Y. Zeng; C. Zhou; S. Zucchelli

Rhizospheric soil organic carbon accumulated but its molecular groups redistributed via rhizospheric soil microorganisms along multi-root Cerasus humilis plantation chronosequence at the karst rocky desertification control area

Environmental Science and Pollution Research

IF0

2023-05-15

PREAI

Qin Tang; Qiang Li; Lingchen Tong; Rui Wu; Jiao Xu

Key ideas in quantum error correction 量子纠错的关键思想

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

IF3.7

2012-09-28

OAAI

Raussendorf, Robert