Alexei Kitaev

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All published works
Action Title Year Authors
+ PDF Chat Thermalization and Criticality on an Analog-Digital Quantum Simulator 2024 Trond I. Andersen
Nikita Astrakhantsev
Amir H. Karamlou
Julia Berndtsson
Johannes Motruk
Aaron Szasz
Jonathan A. Gross
Tom Westerhout
Yaxing Zhang
Ebrahim Forati
+ PDF Chat Almost-idempotent quantum channels and approximate $C^*$-algebras 2024 Alexei Kitaev
+ PDF Chat Dynamics of magnetization at infinite temperature in a Heisenberg spin chain 2024 Eliott Rosenberg
T. I. Andersen
Rhine Samajdar
A. Petukhov
Jesse C. Hoke
Dmitry A. Abanin
Andreas Bengtsson
Ilya Drozdov
Catherine Erickson
P. V. Klimov
+ PDF Chat Stable quantum-correlated many-body states through engineered dissipation 2024 Xiao Mi
Alexios A. Michailidis
S. Shabani
Kevin C. Miao
P. V. Klimov
Jerome Lloyd
Eliott Rosenberg
Rajeev Acharya
I. L. Aleǐner
T. I. Andersen
+ Measurement-induced entanglement and teleportation on a noisy quantum processor 2023 Jesse C. Hoke
Matteo Ippoliti
Eliott Rosenberg
Dmitry A. Abanin
Rajeev Acharya
Trond I. Andersen
M. Ansmann
Frank Arute
Kunal Arya
Abraham Asfaw
+ Stable Quantum-Correlated Many Body States via Engineered Dissipation 2023 Xiao Mi
Alexios A. Michailidis
S. Shabani
Kevin C. Miao
P. V. Klimov
Jerome Lloyd
Eliott Rosenberg
Rajeev Acharya
I. L. Aleǐner
T. I. Andersen
+ Dynamics of magnetization at infinite temperature in a Heisenberg spin chain 2023 Eliott Rosenberg
Trond Andersen
Rhine Samajdar
Andre Petukhov
Jesse C. Hoke
Dmitry A. Abanin
Andreas Bengtsson
Ilya Drozdov
Catherine Erickson
Paul V. Klimov
+ PDF Chat Formation of robust bound states of interacting microwave photons 2022 Alexis Morvan
T. I. Andersen
Xiao Mi
Charles Neill
A. Petukhov
Kostyantyn Kechedzhi
Dmitry A. Abanin
Alexios A. Michailidis
Rajeev Acharya
Frank Arute
+ PDF Chat Noise-resilient edge modes on a chain of superconducting qubits 2022 Xiao Mi
Michael Sonner
M. Y. Niu
K. W. Lee
Brooks Foxen
Rajeev Acharya
I. L. Aleǐner
T. I. Andersen
Frank Arute
Kunal Arya
+ Formation of robust bound states of interacting photons 2022 Alexis Morvan
Trond I. Andersen
Mi Xiao
Charles Neill
A. G. Petukhov
Kostyantyn Kechedzhi
Dmitry A. Abanin
Rajeev Acharya
Frank Arute
Kunal Arya
+ PDF Chat Suppressing quantum errors by scaling a surface code logical qubit 2022 Rajeev Acharya
I. L. Aleǐner
Richard P. Allen
Trond I. Andersen
M. Ansmann
Frank Arute
Kunal Arya
Abraham Asfaw
Juan Atalaya
Ryan Babbush
+ PDF Chat A two-way approach to out-of-time-order correlators 2022 Yingfei Gu
Alexei Kitaev
Pengfei Zhang
+ Noise-resilient Edge Modes on a Chain of Superconducting Qubits 2022 Mi Xiao
Michael Sonner
Murphy Yuezhen Niu
Kenneth W. Lee
Brooks Foxen
Rajeev Acharya
I. L. Aleǐner
Trond I. Andersen
Frank Arute
Kunal Arya
+ Suppressing quantum errors by scaling a surface code logical qubit 2022 Rajeev Acharya
I. L. Aleǐner
Richard P. Allen
Trond I. Andersen
M. Ansmann
Frank Arute
Kunal Arya
Abraham Asfaw
Juan Atalaya
Ryan Babbush
+ Non-Abelian braiding of graph vertices in a superconducting processor 2022 Trond I. Andersen
Yuri D. Lensky
Kostyantyn Kechedzhi
Ilya Drozdov
Andreas Bengtsson
Sabrina Hong
Alexis Morvan
Mi Xiao
Alex Opremcak
Rajeev Acharya
+ PDF Chat Realizing topologically ordered states on a quantum processor 2021 Kevin J. Satzinger
Yu-Jie Liu
Adam Smith
Christina Knapp
Michael Newman
C. Jones
Z. Chen
Chris Quintana
Xiao Mi
A. Dunsworth
+ PDF Chat Time-crystalline eigenstate order on a quantum processor 2021 Xiao Mi
Matteo Ippoliti
Chris Quintana
Ami Greene
Zijun Chen
Jonathan A. Gross
Frank Arute
Kunal Arya
Juan Atalaya
Ryan Babbush
+ A two-way approach to out-of-time-order correlators 2021 Yingfei Gu
Alexei Kitaev
Pengfei Zhang
+ PDF Chat Information scrambling in quantum circuits 2021 Xiao Mi
P. Roushan
Chris Quintana
Salvatore Mandrà
Jeffrey Marshall
C. Neill
Frank Arute
Kunal Arya
Juan Atalaya
Ryan Babbush
+ PDF Chat Exponential suppression of bit or phase errors with cyclic error correction 2021 Zijun Chen
Kevin J. Satzinger
Juan Atalaya
Alexander N. Korotkov
A. Dunsworth
D. Sank
Chris Quintana
Matt McEwen
R. Barends
Paul V. Klimov
+ PDF Chat Perturbative calculations of entanglement entropy 2021 Pouria Dadras
Alexei Kitaev
+ PDF Chat An obstacle to sub-AdS holography for SYK-like models 2021 Pengfei Zhang
Yingfei Gu
Alexei Kitaev
+ Information Scrambling in Computationally Complex Quantum Circuits 2021 Xiao Mi
P. Roushan
Chris Quintana
Salvatore Mandrà
Jeffrey Marshall
C. Neill
Frank Arute
Kunal Arya
Juan Atalaya
Ryan Babbush
+ Calculated Boldness: Optimizing Financial Decisions with Illiquid Assets 2020 Stanislav Shalunov
Alexei Kitaev
Yakov Shalunov
Arseniy Akopyan
+ PDF Chat Perturbed Sachdev-Ye-Kitaev Model: A Polaron in the Hyperbolic Plane 2020 A. V. Lunkin
Alexei Kitaev
M. V. Feigel’man
+ PDF Chat Notes on the complex Sachdev-Ye-Kitaev model 2020 Yingfei Gu
Alexei Kitaev
Subir Sachdev
Grigory Tarnopolsky
+ Calculated Boldness: Optimizing Financial Decisions with Illiquid Assets 2020 Stanislav Shalunov
Alexei Kitaev
Yakov Shalunov
Arseniy Akopyan
+ PDF Chat Statistical mechanics of a two-dimensional black hole 2019 Alexei Kitaev
S. Josephine Suh
+ PDF Chat On the relation between the magnitude and exponent of OTOCs 2019 Yingfei Gu
Alexei Kitaev
+ PDF Chat Quantum Algorithm for Spectral Measurement with a Lower Gate Count 2018 David Poulin
Alexei Kitaev
Damian S. Steiger
Matthew B. Hastings
Matthias Troyer
+ PDF Chat The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual 2018 Alexei Kitaev
S. Josephine Suh
+ Efficient decoding for the Hayden-Preskill protocol 2017 Beni Yoshida
Alexei Kitaev
+ Notes on $\widetilde{\mathrm{SL}}(2,\mathbb{R})$ representations 2017 Alexei Kitaev
+ PDF Chat Time reversal invariant gapped boundaries of the double semion state 2016 F. J. Burnell
Xie Chen
Alexei Kitaev
Max A. Metlitski
Ashvin Vishwanath
+ PDF Chat Protected gates for superconducting qubits 2013 Peter Brooks
Alexei Kitaev
John Preskill
+ An area law and sub-exponential algorithm for 1D systems 2013 Itai Arad
Alexei Kitaev
Zeph Landau
Umesh Vazirani
+ PDF Chat Dissipationless dynamics of randomly coupled spins at high temperatures 2012 Lara Faoro
L. B. Ioffe
Alexei Kitaev
+ PDF Chat Solutions to generalized Yang–Baxter equations via ribbon fusion categories 2012 Alexei Kitaev
Zhenghan Wang
+ PDF Chat Quantum Superinductor with Tunable Nonlinearity 2012 M. T. Bell
Ivan Sadovskyy
L. B. Ioffe
Alexei Kitaev
M. E. Gershenson
+ PDF Chat Models for Gapped Boundaries and Domain Walls 2012 Alexei Kitaev
Liang Kong
+ PDF Chat Power-Law Spin Correlations in a Perturbed Spin Model on a Honeycomb Lattice 2011 K. S. Tikhonov
M. V. Feigel’man
Alexei Kitaev
+ PDF Chat Topological phases of fermions in one dimension 2011 Lukasz Fidkowski
Alexei Kitaev
+ PDF Chat Topological multicritical point in the phase diagram of the toric code model and three-dimensional lattice gauge Higgs model 2010 I. S. Tupitsyn
Alexei Kitaev
Nikolay Prokof’ev
P. C. E. Stamp
+ PDF Chat Topological Quantum Computation 2010 Michael Freedman
Alexei Kitaev
Michael Larsen
Zhenghan Wang
+ PDF Chat Effects of interactions on the topological classification of free fermion systems 2010 Lukasz Fidkowski
Alexei Kitaev
+ Topology-driven quantum phase transitions in time-reversal-invariant anyonic quantum liquids 2009 Charlotte Gils
Simon Trebst
Alexei Kitaev
Andreas W. W. Ludwig
Matthias Troyer
Zhenghan Wang
+ Topological phases and quantum computation 2009 Alexei Kitaev
Chris R. Laumann
+ PDF Chat Periodic table for topological insulators and superconductors 2009 Alexei Kitaev
Vladimir Lebedev
M. V. Feigel’man
+ PDF Chat Quasiparticle Poisoning and Josephson Current Fluctuations Induced by Kondo Impurities 2008 Lara Faoro
Alexei Kitaev
L. B. Ioffe
+ Non-abelian topological phases and unconventional criticality in a model of interacting anyons 2008 Charlotte Gils
Simon Trebst
Matthias Troyer
Andreas W. W. Ludwig
Alexei Kitaev
+ Wavefunction preparation and resampling using a quantum computer 2008 Alexei Kitaev
William A. Webb
+ PDF Chat Shot noise in an anyonic Mach-Zehnder interferometer 2007 D. E. Feldman
Yuval Gefen
Alexei Kitaev
K. T. Law
Ady Stern
+ PDF Chat Interacting Anyons in Topological Quantum Liquids: The Golden Chain 2007 Adrian Feiguin
Simon Trebst
Andreas W. W. Ludwig
Matthias Troyer
Alexei Kitaev
Zhenghan Wang
Michael Freedman
+ Interacting anyons in one dimension: The Fibonacci chain 2007 Andreas W. W. Ludwig
Adrian Feiguin
Simon Trebst
Matthias Troyer
Alexei Kitaev
Zhenghan Wang
Michael Freedman
+ Noncommuting Flux Sectors in a Tabletop Experiment 2007 Alexei Kitaev
Kevin Walker
Gregory W. Moore
+ PDF Chat Detecting Non-Abelian Statistics with an Electronic Mach-Zehnder Interferometer 2006 D. E. Feldman
Alexei Kitaev
+ PDF Chat Topological Entanglement Entropy 2006 Alexei Kitaev
John Preskill
+ PDF Chat Fault-Tolerant Quantum Computation with Long-Range Correlated Noise 2006 Dorit Aharonov
Alexei Kitaev
John Preskill
+ PDF Chat Detecting Non-Abelian Statistics in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>5</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Fractional Quantum Hall State 2006 Parsa Bonderson
Alexei Kitaev
Kirill Shtengel
+ PDF Chat Anyons in an exactly solved model and beyond 2006 Alexei Kitaev
+ PDF Chat The Complexity of the Local Hamiltonian Problem 2006 Julia Kempe
Alexei Kitaev
Oded Regev
+ Protected qubit based on a superconducting current mirror 2006 Alexei Kitaev
+ PDF Chat Universal manifold pairings and positivity 2005 Michael Freedman
Alexei Kitaev
Chetan Nayak
J. K. Slingerland
Kevin Walker
Zhenghan Wang
+ PDF Chat Universal manifold pairings and positivity 2005 Michael Freedman
Alexei Kitaev
Chetan Nayak
J. K. Slingerland
Kevin Walker
Zhenghan Wang
+ PDF Chat Universal quantum computation with ideal Clifford gates and noisy ancillas 2005 Sergey Bravyi
Alexei Kitaev
+ PDF Chat Superselection rules and quantum protocols 2004 Alexei Kitaev
Dominic Mayers
John Preskill
+ PDF Chat The Complexity of the Local Hamiltonian Problem 2004 Julia Kempe
Alexei Kitaev
Oded Regev
+ The Complexity of the Local Hamiltonian Problem 2004 Julia Kempe
Alexei Kitaev
Oded Regev
+ PDF Chat Entanglement in Quantum Critical Phenomena 2003 Guifré Vidal
José I. Latorre
E. Rico
Alexei Kitaev
+ PDF Chat Diameters of Homogeneous Spaces 2003 Michael Freedman
Alexei Kitaev
Jacob Lurie
+ PDF Chat Fault-tolerant quantum computation by anyons 2003 Alexei Kitaev
+ PDF Chat Topological quantum memory 2002 Eric Dennis
Alexei Kitaev
Andrew J. Landahl
John Preskill
+ PDF Chat Simulation of Topological Field Theories¶by Quantum Computers 2002 Michael Freedman
Alexei Kitaev
Zhenghan Wang
+ Quantum algorithms for Abelian groups 2002 Alexei Kitaev
Alexander Shen
M. Vyalyi
+ PDF Chat Fermionic Quantum Computation 2002 Sergey Bravyi
Alexei Kitaev
+ PDF Chat Measurability of Wilson loop operators 2002 David Beckman
Daniel Gottesman
Alexei Kitaev
John Preskill
+ Diameters of Homogeneous Spaces 2002 Michael Freedman
Alexei Kitaev
Jacob Lurie
+ PDF Chat Unpaired Majorana fermions in quantum wires 2001 Alexei Kitaev
+ PDF Chat Encoding a qubit in an oscillator 2001 Daniel Gottesman
Alexei Kitaev
John Preskill
+ Topological Quantum Computation 2001 Michael Freedman
Alexei Kitaev
Michael Larsen
Zhenghan Wang
+ PDF Chat Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness 1999 Alexei Kitaev
+ Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness 1999 Alexei Kitaev
+ Quantum circuits with mixed states 1998 Dorit Aharonov
Alexei Kitaev
Noam Nisan
+ Quantum codes on a lattice with boundary 1998 Sergey Bravyi
Alexei Kitaev
+ Quantum Circuits with Mixed States 1998 Dorit Aharonov
Alexei Kitaev
Noam Nisan
+ Quantum measurements and the Abelian Stabilizer Problem 1995 Alexei Kitaev
+ Quantum measurements and the Abelian Stabilizer Problem 1995 Alexei Kitaev
+ Correlations in the actions of periodic orbits derived from quantum chaos 1993 Nathan Argaman
F.-M. Dittes
E. Doron
J. P. Keating
Alexei Kitaev
Martin Sieber
Uzy Smilansky
+ Approximative evaluation of the height of the maximal upper zero of a monotone Boolean function 1991 Alexei Kitaev
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Fault-tolerant quantum computation by anyons 2003 Alexei Kitaev
23
+ PDF Chat Remarks on the Sachdev-Ye-Kitaev model 2016 Juan Maldacena
Douglas Stanford
10
+ Nonabelions in the fractional quantum hall effect 1991 Gregory Moore
Nicholas Read
9
+ PDF Chat Anyons in an exactly solved model and beyond 2006 Alexei Kitaev
9
+ PDF Chat The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual 2018 Alexei Kitaev
S. Josephine Suh
8
+ PDF Chat Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space 2016 Juan Maldacena
Douglas Stanford
Zhenbin Yang
8
+ PDF Chat Gapless spin-fluid ground state in a random quantum Heisenberg magnet 1993 Subir Sachdev
Jinwu Ye
8
+ PDF Chat A bound on chaos 2016 Juan Maldacena
Stephen H. Shenker
Douglas Stanford
7
+ PDF Chat Quantum Error Correction and Orthogonal Geometry 1997 A.R. Calderbank
Eric M. Rains
Peter W. Shor
N. J. A. Sloane
6
+ A Modular Functor Which is Universal¶for Quantum Computation 2002 Michael Freedman
Michael Larsen
Zhenghan Wang
5
+ PDF Chat Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model 2001 Roderich Moessner
S. L. Sondhi
5
+ PDF Chat Localized shocks 2015 Daniel A. Roberts
Douglas Stanford
Leonard Susskind
5
+ PDF Chat Microscopic model of quantum butterfly effect: Out-of-time-order correlators and traveling combustion waves 2016 I. L. Aleǐner
Lara Faoro
L. B. Ioffe
5
+ PDF Chat Chaos in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Holography 2016 Kristan Jensen
5
+ PDF Chat Elementary gates for quantum computation 1995 Adriano Barenco
Charles H. Bennett
Richard Cleve
David P. DiVincenzo
Norman Margolus
Peter W. Shor
Tycho Sleator
John A. Smolin
Harald Weinfurter
5
+ PDF Chat Good quantum error-correcting codes exist 1996 A.R. Calderbank
Peter W. Shor
5
+ PDF Chat String-net condensation: A physical mechanism for topological phases 2005 Michael Levin
Xiao-Gang Wen
5
+ PDF Chat Black holes as mirrors: quantum information in random subsystems 2007 Patrick Hayden
John Preskill
5
+ PDF Chat An investigation of AdS2 backreaction and holography 2016 Julius Engelsöy
Thomas G. Mertens
Herman Verlinde
5
+ PDF Chat Phase Structure of Driven Quantum Systems 2016 Vedika Khemani
Achilleas Lazarides
Roderich Moessner
S. L. Sondhi
4
+ PDF Chat Chaos in quantum channels 2016 Pavan Hosur
Xiao-Liang Qi
Daniel A. Roberts
Beni Yoshida
4
+ PDF Chat Quantum field theory and the Jones polynomial 1989 Edward Witten
4
+ PDF Chat Black holes and the butterfly effect 2014 Stephen H. Shenker
Douglas Stanford
4
+ PDF Chat Theory of fault-tolerant quantum computation 1998 Daniel Gottesman
4
+ PDF Chat Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect 2000 N. Read
Dmitry Green
4
+ PDF Chat Class of quantum error-correcting codes saturating the quantum Hamming bound 1996 Daniel Gottesman
4
+ PDF Chat Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms 2020 Brooks Foxen
Charles Neill
A. Dunsworth
P. Roushan
B. Chiaro
A. Megrant
J. Kelly
Zijun Chen
Kevin J. Satzinger
R. Barends
4
+ Sachdev–Ye–Kitaev model as Liouville quantum mechanics 2016 Dmitry Bagrets
Alexander Altland
Alex Kamenev
4
+ PDF Chat Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level 1999 N. Read
E. H. Rezayi
4
+ Power-law out of time order correlation functions in the SYK model 2017 Dmitry Bagrets
Alexander Altland
Alex Kamenev
4
+ PDF Chat Accurately computing the electronic properties of a quantum ring 2021 Charles Neill
Trevor McCourt
Xiao Mi
Jiang Zhang
M. Y. Niu
Wojciech Mruczkiewicz
I. L. Aleǐner
Frank Arute
Kunal Arya
Juan Atalaya
4
+ PDF Chat Simulation of Topological Field Theories¶by Quantum Computers 2002 Michael Freedman
Alexei Kitaev
Zhenghan Wang
3
+ PDF Chat Classical and quantum conformal field theory 1989 Gregory Moore
Nathan Seiberg
3
+ PDF Chat Quantum Mechanics Helps in Searching for a Needle in a Haystack 1997 Lov K. Grover
3
+ PDF Chat A class of P,T-invariant topological phases of interacting electrons 2004 Michael Freedman
Chetan Nayak
Kirill Shtengel
Kevin Walker
Zhenghan Wang
3
+ PDF Chat Noise spectroscopy through dynamical decoupling with a superconducting flux qubit 2011 Jonas Bylander
Simon Gustavsson
Fei Yan
Fumiki Yoshihara
K. Harrabi
George Fitch
David G. Cory
Yasunobu Nakamura
Jaw Shen Tsai
William D. Oliver
3
+ PDF Chat Classification of topological insulators and superconductors in three spatial dimensions 2008 Andreas P. Schnyder
Shinsei Ryu
Akira Furusaki
Andreas W. W. Ludwig
3
+ PDF Chat Δ<i>M</i><sub><i>K</i></sub> and epsilon<sub><i>K</i></sub> in SUSY at the next-to-leading order 1998 M. Ciuchini
L. Conti
A. Donini
E. Franco
Vicent Giménez
Leonardo Giusti
V. Lubicz
G. Martinelli
A. Masiero
Ignazio Scimemi
3
+ Quantum codes on a lattice with boundary 1998 Sergey Bravyi
Alexei Kitaev
3
+ Threshold Accuracy for Quantum Computation 1996 Emanuel Knill
Raymond Laflamme
Wojciech H. Zurek
3
+ THE 2-LOCAL HAMILTONIAN PROBLEM ENCOMPASSES NP 2003 Paweł Wocjan
Thomas Beth
3
+ PDF Chat Universal quantum computation with ideal Clifford gates and noisy ancillas 2005 Sergey Bravyi
Alexei Kitaev
3
+ PDF Chat Non-Abelian Statistics of Half-Quantum Vortices in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">p</mml:mi></mml:math>-Wave Superconductors 2001 Д. А. Иванов
3
+ PDF Chat Active Stabilization, Quantum Computation, and Quantum State Synthesis 1997 Andrew Steane
3
+ PDF Chat Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures 1997 Alexander Altland
Martin R. Zirnbauer
3
+ PDF Chat Proposed Experiments to Probe the Non-Abelian<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>5</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Quantum Hall State 2006 Ady Stern
Bertrand I. Halperin
3
+ PDF Chat Quantum fluctuations of a nearly critical Heisenberg spin glass 2001 Antoine Georges
Olivier Parcollet
Subir Sachdev
3
+ PDF Chat Electron Correlation in the Second Landau Level: A Competition Between Many Nearly Degenerate Quantum Phases 2004 J. S. Xia
W. Pan
C. L. Vicente
E. D. Adams
N. S. Sullivan
H. L. Störmer
D. C. Tsui
L. N. Pfeiffer
K. W. Baldwin
K. W. West
3
+ PDF Chat Possible realization of an ideal quantum computer in Josephson junction array 2002 L. B. Ioffe
M. V. Feigel’man
3
+ PDF Chat Projective Plane and Planar Quantum Codes 2001 Michael Freedman
David Meyer
3