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citedby:recid:2135501

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DataBETA

Date of paper

19972022

Number of authors

Single author

8

10 authors or less

26

Exclude RPP

Exclude Review of Particle Physics

26

Document Type

article

26

published

19

Author

Alexi Y. Kitaev

3

Shahn Majid

3

Mao-Tung Cheng

2

Hector Bombin

2

Liang Kong

2

Shawn X. Cui

2

Austin G. Fowler

2

Iris Cong

2

Alexander Cowtan

2

Zhenghan Wang

2

Subject

Quantum Physics

17

Math and Math Physics

13

Condensed Matter

10

General Physics

9

Theory-HEP

5

arXiv Category

quant-ph

15

cond-mat.str-el

10

math.QA

8

math-ph

7

math.MP

7

hep-th

4

math.CT

3

cond-mat.mes-hall

2

nlin.SI

1

26 results

Citation Summary

Most Recent

Quantum and braided ZX calculus

#1

Shahn Majid
(
- Queen Mary, U. of London, Math. Sci. and
- Unlisted, US, MA
)

(Jun 1, 2022)

Published in:
- J.Phys.A 55 (2022) 25, 254007

reference search4 citations

An invitation to topological orders and category theory

#2

Liang Kong
(
- Shenzhen, SUSTC and
- Unlisted, CN and
- SUSTech, SKLQSE, Shenzhen
)
,
Zhi-Hao Zhang
(
- Shenzhen, SUSTC and
- Hefei, CUST
)

(May 11, 2022)

e-Print:
- 2205.05565 [cond-mat.str-el]

reference search43 citations

Adaptive constant-depth circuits for manipulating non-abelian anyons

#3

Sergey Bravyi
(
- IBM Watson Res. Ctr.
)
,
Isaac Kim
(
- UC, Davis
)
,
Alexander Kliesch
(
- Munich, Tech. U.
)
,
Robert Koenig
(
- Munich, Tech. U.
)

(May 4, 2022)

e-Print:
- 2205.01933 [quant-ph]

reference search72 citations

Qudit lattice surgery

#4

Alexander Cowtan
(
- Oxford U. and
- Cambridge U.
)

(Apr 27, 2022)

e-Print:
- 2204.13228 [quant-ph]

reference search6 citations

Quantum double aspects of surface code models

#5

Alexander Cowtan
(
- Oxford U.
)
,
Shahn Majid
(
- Queen Mary, U. of London, Math. Sci.
)

(Jun 25, 2021)

Published in:
- J.Math.Phys. 63 (2022) 4, 042202
•
e-Print:
- 2107.04411 [quant-ph]

reference search14 citations

Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras

#6

Penghua Chen
,
Shawn X. Cui
,
Bowen Yan

(May 17, 2021)

Published in:
- J.Phys.A 55 (2022) 18, 185201
•
e-Print:
- 2105.08202 [cond-mat.str-el]

reference search19 citations

Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations

#7

Ysla F. Adans
(
- Sao Paulo, IFT
)
,
Guilherme França
(
- Sao Paulo, IFT
)
,
José F. Gomes
(
- Sao Paulo, IFT
)
,
Gabriel V. Lobo
(
- Sao Paulo, IFT
)
,
Abraham H. Zimerman
(
- Sao Paulo, IFT
)

(2020)

Published in:
- JHEP 08 (2023) 160,
- JHEP 23 (2020) 160
•
e-Print:
- 2304.01749 [nlin.SI]

reference search2 citations

Kitaev's quantum double model as an error correcting code

#8

Shawn X. Cui
(
- Purdue U.
)
,
Dawei Ding
(
- Stanford U., ITP
)
,
Xizhi Han
(
- Stanford U., ITP
)
,
Geoffrey Penington
(
- Stanford U., ITP
)
,
Daniel Ranard
(
- Stanford U., ITP
)

et al.

(Aug 7, 2019)

Published in:
- Quantum 4 (2020) 331
•
e-Print:
- 1908.02829 [quant-ph]

reference search30 citations

Tube algebras, excitations statistics and compactification in gauge models of topological phases

#9

Alex Bullivant
(
- Leeds U., Math.
)
,
Clement Delcamp
(
- Munich, Max Planck Inst. Quantenopt. and
- MCQST, Munich
)

(May 21, 2019)

Published in:
- JHEP 10 (2019) 216
•
e-Print:
- 1905.08673 [cond-mat.str-el]

reference search28 citations

A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery

#10

Daniel Litinski
(
- Freie U., Berlin (main)
)

(Aug 8, 2018)

Published in:
- Quantum 3 (2019) 128
•
e-Print:
- 1808.02892 [quant-ph]

reference search332 citations

Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

#11

Iris Cong
(
- UCLA and
- Station Q, UCSB
)
,
Meng Cheng
(
- Yale U. and
- Station Q, UCSB
)
,
Zhenghan Wang
(
- UC, Santa Barbara, Dept. Math. and
- Station Q, UCSB
)

(Jul 14, 2017)

Published in:
- Commun.Math.Phys. 355 (2017) 645-689
•
e-Print:
- 1707.04564 [cond-mat.str-el]

reference search56 citations

Poking Holes and Cutting Corners to Achieve Clifford Gates with the Surface Code

#12

Benjamin J. Brown
(
- Bohr Inst.
)
,
Katharina Laubscher
(
- Basel U.
)
,
Markus S. Kesselring
(
- Basel U. and
- Freie U., Berlin
)
,
James R. Wootton
(
- Basel U.
)

(May 24, 2017)

Published in:
- Phys.Rev.X 7 (2017) 2, 021029

reference search129 citations

Topological Quantum Computation with Gapped Boundaries

#13

Iris Cong
(
- UCLA, Los Angeles (main) and
- Station Q, UCSB
)
,
Meng Cheng
(
- Yale U. and
- Station Q, UCSB
)
,
Zhenghan Wang
(
- UC, Santa Barbara, Dept. Math. and
- Station Q, UCSB
)

(Sep 7, 2016)

e-Print:
- 1609.02037 [quant-ph]

reference search57 citations

Kitaev lattice models as a Hopf algebra gauge theory

#14

Catherine Meusburger
(
- Erlangen - Nuremberg U.
)

(Jul 5, 2016)

Published in:
- Commun.Math.Phys. 353 (2017) 1, 413-468
•
e-Print:
- 1607.01144 [math.QA]

reference search40 citations

A hierarchy of topological tensor network states

#15

Oliver Buerschaper
(
- Perimeter Inst. Theor. Phys. and
- Munich, Max Planck Inst. Quantenopt.
)
,
Juan Martín Mombelli
(
- Cordoba U.
)
,
Matthias Christandl
(
- Zurich, ETH
)
,
Miguel Aguado
(
- Munich, Max Planck Inst. Quantenopt.
)

(Jan 1, 2013)

Published in:
- J.Math.Phys. 54 (2013) 1, 012201

reference search68 citations

Surface codes: Towards practical large-scale quantum computation

#16

Austin G. Fowler
(
- Melbourne U.
)
,
Matteo Mariantoni
(
- UC, Santa Barbara
)
,
John M. Martinis
(
- UC, Santa Barbara (main)
)
,
Andrew N. Cleland
(
- UC, Santa Barbara (main)
)

(Aug 4, 2012)

Published in:
- Phys.Rev.A 86 (2012) 3, 032324
•
e-Print:
- 1208.0928 [quant-ph]

reference search1,860 citations

Surface code quantum computing by lattice surgery

#17

Dominic Horsman
(
- Keio U.
)
,
Austin G. Fowler
(
- Melbourne U.
)
,
Simon Devitt
(
- NII, Tokyo
)
,
Rodney Van Meter
(
- Keio U.
)

(Nov 17, 2011)

Published in:
- New J.Phys. 14 123011
•
e-Print:
- 1111.4022 [quant-ph]

reference search435 citations

Models for Gapped Boundaries and Domain Walls

#18

Alexei Kitaev
,
Liang Kong

(Apr 26, 2011)

Published in:
- Commun.Math.Phys. 313 (2012) 2, 351-373
•
e-Print:
- 1104.5047 [cond-mat.str-el]

reference search434 citations

The Quantum Double Model with Boundary: Condensations and Symmetries

#19

Salman Beigi
,
Peter W. Shor
,
Daniel Whalen

(Jun 28, 2010)

Published in:
- Commun.Math.Phys. 306 (2011) 3, 663-694
•
e-Print:
- 1006.5479 [quant-ph]

reference search172 citations

Topological Order with a Twist: Ising Anyons from an Abelian Model

#20

H. Bombin
(
- Perimeter Inst. Theor. Phys.
)

(Apr, 2010)

Published in:
- Phys.Rev.Lett. 105 (2010) 030403
•
e-Print:
- 1004.1838 [cond-mat.str-el]

reference search271 citations

A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation

#21

H. Bombin
(
- Madrid U.
)
,
M.A. Martin-Delgado
(
- Madrid U.
)

(Dec, 2007)

Published in:
- Phys.Rev.B 78 (2008) 115421
•
e-Print:
- 0712.0190 [cond-mat.str-el]

reference search133 citations

Anyons from nonsolvable finite groups are sufficient for universal quantum computation

#22

Carlos Mochon
(
- Caltech
)

(Feb, 2003)

Published in:
- Phys.Rev.A 67 (2003) 022315
•
e-Print:
- quant-ph/0206128 [quant-ph]

reference search43 citations

Module categories, weak Hopf algebras and modular invariants

#23

Viktor Ostrik

(Nov 12, 2001)

Published in:
- Transform.Groups 8 (2003) 2, 177-206
•
e-Print:
- math/0111139 [math.QA]

reference search240 citations

Quasialgebra Structure of the Octonions

#24

Helena Albuquerque
,
Shahn Majid

(Oct, 1999)

Published in:
- J.Algebra 220 (1999) 1, 188-224

reference search31 citations

Quantum codes on a lattice with boundary

#25

Sergey B. Bravyi
(
- Landau Inst.
)
,
Alexei Yu. Kitaev
(
- Caltech and
- Landau Inst.
)

(Nov, 1998)

e-Print:
- quant-ph/9811052 [quant-ph]

reference search618 citations

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