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Storing quantum information in a quantum error correction code can protect it from errors, but the ability to transform the stored quantum information in a fault tolerant way is equally important.
Spans in the module ( ℤ m ) s (\mathbb{Z}_{m})^{s}
John A. Howell · 1986
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Good quantum error-correcting codes exist
Robert Calderbank and Peter W. Shor · 1996
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Error correcting codes in quantum theory
Andrew M. Steane · 1996
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Perfect quantum error correcting code
Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, and Wojciech Hubert Zurek · 1996
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Quantum error correction via codes over gf(4)
Robert Calderbank, Eric M. Rains, P.M. Shor, and N.J.A. Sloane · 1998
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Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
Daniel Gottesman and Isaac L. Chuang · 1999
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The invariants of the clifford groups
Gabriele Nebe, E. M. Rains, and N. J. A. Sloane · 2001
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Nmr techniques for quantum control and computation
Lieven M. K. Vandersypen and Isaac L. Chuang · 2005
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Topological quantum distillation
Hector Bombin and Miguel A. Martin-Delgado · 2006
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Restrictions on transversal encoded quantum gate sets
Bryan Eastin and Emanuel Knill · 2009
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Quantum Computation and Quantum Information: 10th Anniversary Edition
Michael A. Nielsen and Isaac L. Chuang · 2010
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Code equivalence and group isomorphism
László Babai, Paolo Codenotti, Joshua A. Grochow, and Youming Qiao · 2011
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Efficient controlled-phase gate for single-spin qubits in quantum dots
Tristan Meunier, Victor E. Calado, and Lieven M. K. Vandersypen · 2011
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Magic-state distillation with low overhead
Sergey Bravyi and Jeongwan Haah · 2012
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Unfolding the color code
Aleksander Kubica, Beni Yoshida, and Fernando Pastawski · 2015
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Transversal clifford gates on folded surface codes
Jonathan E. Moussa · 2016
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Classification of transversal gates in qubit stabilizer codes
Jonas T. Anderson and Tomas Jochym-O’Connor · 2016
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The smallest interesting colour code
Earl T. Campbell · 2016
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Self-orthogonal codes constructed from posets and their applications in quantum communication
Yansheng Wu and Yoonjin Lee · 2020
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Realization of real-time fault-tolerant quantum error correction
Ciarán Ryan-Anderson, Justin G. Bohnet, et al · 2021
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Climbing the diagonal clifford hierarchy
Jingzhen Hu, Qingzhong Liang, and Robert Calderbank · 2021
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Balanced product quantum codes
Nikolas P. Breuckmann and Jens N. Eberhardt · 2021
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Realization of real-time fault-tolerant quantum error correction
Sebastian Krinner, Nathan Lacroix, Ants Remm, et al · 2022
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Shawn X. Cui, Daniel Gottesman, and Anirudh Krishna · 2017
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Hyperbolic quantum color codes
Waldir Silva Soares and Eduardo Brandani Da Silva · 2018
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Fault-tolerant quantum computation with few qubits
Rui Chao and Ben W. Reichardt · 2018
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Unifying the clifford hierarchy via symmetric matrices over rings
Narayanan Rengaswamy, Robert Calderbank, and Henry D. Pfister · 2019
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A game of surface codes: Large-scale quantum computing with lattice surgery
Daniel Litinski · 2019
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Logical clifford synthesis for stabilizer codes
Narayanan Rengaswamy, Robert Calderbank, Swanand Kadhe, and Henry D. Pfister · 2020
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Nikolas P. Breuckmann and Simon Burton · 2022
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Partitioning qubits in hypergraph product codes to implement logical gates
Armanda O. Quintavalle, Paul Webster, and Michael Vasmer · 2022
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The XP Stabiliser Formalism: a Generalisation of the Pauli Stabiliser Formalism with Arbitrary Phases
Mark A. Webster, Benjamin J. Brown, and Stephen D. Bartlett · 2022
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Classification of small triorthogonal codes
Sepehr Nezami and Jeongwan Haah · 2022
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Morphing quantum codes
Michael Vasmer and Aleksander Kubica · 2022
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Mitigating coherent noise by balancing weight-2 z-stabilizers
Jingzhen Hu, Qingzhong Liang, Narayanan Rengaswamy, and Robert Calderbank · 2022
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Suppressing quantum errors by scaling a surface code logical qubit
Rajeev Acharya, Igor Aleiner, Richard Allen, et al · 2023
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