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There are several models of quantum computation which exhibit shared fundamental fault-tolerance properties.
“Topological quantum memory”
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
Earlier work this paper cites.
“Fault-tolerant quantum computation by anyons”
Alexei Yu Kitaev · 2003
Earlier work this paper cites.
“Measurement-based quantum computation on cluster states”
Robert Raussendorf, Daniel E. Browne, and Hans J. Briegel · 2003
Earlier work this paper cites.
“Long-range quantum entanglement in noisy cluster states”
Robert Raussendorf, Sergey Bravyi, and Jim Harrington · 2005
Earlier work this paper cites.
“A fault-tolerant one-way quantum computer”
R. Raussendorf, J. Harrington, and K. Goyal · 2006
Earlier work this paper cites.
“Topological quantum distillation”
H. Bombin and M. A. Martin-Delgado · 2006
Earlier work this paper cites.
“Measurement-based quantum computation”
H. J. Briegel, D. E. Browne, W. Dür, R. Raussendorf, and M. Van Den Nest · 2009
Earlier work this paper cites.
“Interacting quantum observables: categorical algebra and diagrammatics”
Bob Coecke and Ross Duncan · 2011
Earlier work this paper cites.
“The ZX-calculus is complete for stabilizer quantum mechanics”
Miriam Backens · 2014
Earlier work this paper cites.
“Picturing quantum processes: A first course in quantum theory and diagrammatic reasoning”
Bob Coecke and Aleks Kissinger · 2017
Earlier work this paper cites.
“Two complete axiomatisations of pure-state qubit quantum computing”
Amar Hadzihasanovic, Kang Feng Ng, and Quanlong Wang · 2018
Earlier work this paper cites.
“A complete axiomatisation of the ZX-calculus for Clifford+T quantum mechanics”
Emmanuel Jeandel, Simon Perdrix, and Renaud Vilmart · 2018
Earlier work this paper cites.
“Measurement based fault tolerance beyond foliation” (2018)
Naomi Nickerson and Hector Bombin · 2018
Cited alongside, same era.
“2D quantum computation with 3D topological codes”
Hector Bombin · 2018
Cited alongside, same era.
“Majorana qubits for topological quantum computing”
Ramón Aguado and Leo P. Kouwenhoven · 2020
Cited alongside, same era.
“The ZX calculus is a language for surface code lattice surgery”
Niel de Beaudrap and Dominic Horsman · 2020
Cited alongside, same era.
“ZX-calculus for the working quantum computer scientist”
John van de Wetering · 2020
Cited alongside, same era.
“Generating Fault-Tolerant Cluster States from Crystal Structures”
“Equivalence checking of quantum circuits with the ZX-calculus”
Tom Peham, Lukas Burgholzer, and Robert Wille · 2022
Later among the works it cites.
Daniel Litinski and Naomi Nickerson · 2022
Later among the works it cites.
“Fusion-based quantum computation”
Sara Bartolucci, Patrick Birchall, Hector Bombin, Hugo Cable, Chris Dawson, Mercedes Gimeno-Segovia, Eric Johnston, Konrad Kieling, Naomi Nickerson, Mihir Pant, et al · 2023
Closest in time.
“Performance of planar Floquet codes with Majorana-based qubits”
Adam Paetznick, Christina Knapp, Nicolas Delfosse, Bela Bauer, Jeongwan Haah, Matthew B. Hastings, and Marcus P. da Silva · 2023
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“A pair measurement surface code on pentagons”
Craig Gidney · 2023
Closest in time.
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Michael Newman, Leonardo Andreta de Castro, and Kenneth R. Brown · 2020
Cited alongside, same era.
“Dynamically generated logical qubits”
Matthew B. Hastings and Jeongwan Haah · 2021
Cited alongside, same era.
“Interleaving: Modular architectures for fault-tolerant photonic quantum computing” (2021)
Hector Bombin, Isaac H. Kim, Daniel Litinski, Naomi Nickerson, Mihir Pant, Fernando Pastawski, Sam Roberts, and Terry Rudolph · 2021
Cited alongside, same era.
“Quantum low-density parity-check codes”
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
Cited alongside, same era.
“Boundaries for the honeycomb code”
Jeongwan Haah and Matthew B. Hastings · 2022
Cited alongside, same era.
“Benchmarking the planar honeycomb code”
Craig Gidney, Michael Newman, and Matt McEwen · 2022
Cited alongside, same era.
“Opportunities and challenges in fault-tolerant quantum computation”
Daniel Gottesman · 2022
Cited alongside, same era.
Héctor Bombín, Chris Dawson, Ryan V. Mishmash, Naomi Nickerson, Fernando Pastawski, and Sam Roberts · 2023
Closest in time.
“Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics”
Matt McEwen, Dave Bacon, and Craig Gidney · 2023
Closest in time.
“Floquet codes without parent subsystem codes”
Margarita Davydova, Nathanan Tantivasadakarn, and Shankar Balasubramanian · 2023
Closest in time.
“Graphical quantum Clifford-encoder compilers from the ZX calculus”
Andrey Boris Khesin, Jonathan Z Lu, and Peter W Shor · 2023
Closest in time.
“Modular decoding: parallelizable real-time decoding for quantum computers”
Héctor Bombín, Chris Dawson, Ye-Hua Liu, Naomi Nickerson, Fernando Pastawski, and Sam Roberts · 2023
Closest in time.
“Anyon condensation and the color code”
Markus S. Kesselring, Julio C. Magdalena de la Fuente, Felix Thomsen, Jens Eisert, Stephen D. Bartlett, and Benjamin J. Brown · 2024
Closest in time.