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Zhenyu Cai, Michael A. Fogarty, Simon Schaal, Sofia Patomäki, Simon C. Benjamin, and John J. L. Morton, “A Silicon Surface Code Architecture Resilient Against Leakage Errors,” Quantum 3
Original
1904
Earlier work this paper cites.
A. Yu. Kitaev, “Quantum computations: algorithms and error correction,” Russian Mathematical Surveys 52
1997
Earlier work this paper cites.
S. B. Bravyi and A. Yu. Kitaev, “Quantum codes on a lattice with boundary,” (1998), arXiv:quant-ph/9811052 [quant-ph]
1998
Earlier work this paper cites.
N. Read and Dmitry Green, “Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum hall effect,” Physical Review B 61
2000
Earlier work this paper cites.
Michael H. Freedman and David A. Meyer, “Projective plane and planar quantum codes,” Found. Comput. Math. 1
2001
Earlier work this paper cites.
A. Yu. Kitaev, “Unpaired majorana fermions in quantum wires,” Physics-Uspekhi 44
2001
Earlier work this paper cites.
Olexei Motrunich, Kedar Damle, and David A. Huse, “Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples,” Phys. Rev. B 63
2001
Earlier work this paper cites.
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill, “Topological quantum memory,” Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
Rui Chao, Michael E. Beverland, Nicolas Delfosse, and Jeongwan Haah, “Optimization of the surface code design for Majorana-based qubits,” Quantum 4
Original
2007
Earlier work this paper cites.
Panos Aliferis and Andrew W. Cross, “Subsystem fault tolerance with the bacon-shor code,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, and Sankar Das Sarma, “Non-abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
Parsa Bonderson, Michael Freedman, and Chetan Nayak, “Measurement-only topological quantum computation,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland, “Surface codes: Towards practical large-scale quantum computation,” Phys. Rev. A 86
Original
2012
Earlier work this paper cites.

Similar

Christopher Chamberland, Kyungjoo Noh, Patricio Arrangoiz-Arriola, Earl T. Campbell, Connor T. Hann, Joseph Iverson, Harald Putterman, Thomas C. Bohdanowicz, Steven T. Flammia, Andrew Keller, Gil Refael, John Preskill, Liang Jiang, Amir H. Safavi-Naeini, Oskar Painter, and Fernando G. S. L. Brandão, “Building a fault-tolerant quantum computer using concatenated cat codes,” (2020), arXiv:2012.04108 [quant-ph]
Original
2012
Cited alongside, same era.
Jason Alicea, “New directions in the pursuit of majorana fermions in solid state systems,” Reports on Progress in Physics 75
2012
Cited alongside, same era.
Kevin P. Murphy, Machine Learning: A Probabilistic Perspective (MIT Press, 2012)
2012
Cited alongside, same era.
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Yu Chen, and et al., “State preservation by repetitive error detection in a superconducting quantum circuit,” Nature 519
2015
Cited alongside, same era.

Then

Robin Harper and Steven T. Flammia, “Fault-tolerant logical gates in the ibm quantum experience,” Phys. Rev. Lett. 122
2019
Later among the works it cites.
Christian Kraglund Andersen, Ants Remm, Stefania Lazar, Sebastian Krinner, Nathan Lacroix, Graham J. Norris, Mihai Gabureac, Christopher Eichler, and Andreas Wallraff, “Repeated quantum error detection in a surface code,” Nature Physics 16
2020
Later among the works it cites.
Alan Tran, Alex Bocharov, Bela Bauer, and Parsa Bonderson, “Optimizing clifford gate generation for measurement-only topological quantum computation with majorana zero modes,” SciPost Physics 8
2020
Later among the works it cites.
Hector Bombin, Isaac H. Kim, Daniel Litinski, Naomi Nickerson, Mihir Pant, Fernando Pastawski, Sam Roberts, and Terry Rudolph, “Interleaving: Modular architectures for fault-tolerant photonic quantum computing,” (2021), arXiv:2103.08612 [quant-ph]
Original
2021
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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Reading the bibliography…

2022

Performance of planar Floquet codes with Majorana-based qubits

Paetznick, Adam, Knapp, Christina, Delfosse, Nicolas et al.

Understand

Quantum error correction is crucial for any quantum computing platform to achieve truly scalable quantum computation.

The surface code and its variants have been considered the most promising quantum error correction scheme due to their high threshold, low overhead, and relatively simple structure that can naturally be implemented in many existing qubit architectures, such as superconducting qubits.
The recent development of Floquet codes offers another promising approach.
By going beyond the usual paradigm of stabilizer codes, Floquet codes achieve similar performance while being constructed entirely from two-qubit measurements.

Built on

Zhenyu Cai, Michael A. Fogarty, Simon Schaal, Sofia Patomäki, Simon C. Benjamin, and John J. L. Morton, “A Silicon Surface Code Architecture Resilient Against Leakage Errors,” Quantum 3
Original
1904
Earlier work this paper cites.
A. Yu. Kitaev, “Quantum computations: algorithms and error correction,” Russian Mathematical Surveys 52
1997
Earlier work this paper cites.
S. B. Bravyi and A. Yu. Kitaev, “Quantum codes on a lattice with boundary,” (1998), arXiv:quant-ph/9811052 [quant-ph]
1998
Earlier work this paper cites.
N. Read and Dmitry Green, “Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum hall effect,” Physical Review B 61
2000
Earlier work this paper cites.
Michael H. Freedman and David A. Meyer, “Projective plane and planar quantum codes,” Found. Comput. Math. 1
2001
Earlier work this paper cites.
A. Yu. Kitaev, “Unpaired majorana fermions in quantum wires,” Physics-Uspekhi 44
2001
Earlier work this paper cites.
Olexei Motrunich, Kedar Damle, and David A. Huse, “Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples,” Phys. Rev. B 63
2001
Earlier work this paper cites.
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill, “Topological quantum memory,” Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
Rui Chao, Michael E. Beverland, Nicolas Delfosse, and Jeongwan Haah, “Optimization of the surface code design for Majorana-based qubits,” Quantum 4
Original
2007
Earlier work this paper cites.
Panos Aliferis and Andrew W. Cross, “Subsystem fault tolerance with the bacon-shor code,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, and Sankar Das Sarma, “Non-abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
Parsa Bonderson, Michael Freedman, and Chetan Nayak, “Measurement-only topological quantum computation,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland, “Surface codes: Towards practical large-scale quantum computation,” Phys. Rev. A 86
Original
2012
Earlier work this paper cites.

Similar

Christopher Chamberland, Kyungjoo Noh, Patricio Arrangoiz-Arriola, Earl T. Campbell, Connor T. Hann, Joseph Iverson, Harald Putterman, Thomas C. Bohdanowicz, Steven T. Flammia, Andrew Keller, Gil Refael, John Preskill, Liang Jiang, Amir H. Safavi-Naeini, Oskar Painter, and Fernando G. S. L. Brandão, “Building a fault-tolerant quantum computer using concatenated cat codes,” (2020), arXiv:2012.04108 [quant-ph]
Original
2012
Cited alongside, same era.
Jason Alicea, “New directions in the pursuit of majorana fermions in solid state systems,” Reports on Progress in Physics 75
2012
Cited alongside, same era.
Kevin P. Murphy, Machine Learning: A Probabilistic Perspective (MIT Press, 2012)
2012
Cited alongside, same era.
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Yu Chen, and et al., “State preservation by repetitive error detection in a superconducting quantum circuit,” Nature 519
2015
Cited alongside, same era.

Then

Robin Harper and Steven T. Flammia, “Fault-tolerant logical gates in the ibm quantum experience,” Phys. Rev. Lett. 122
2019
Later among the works it cites.
Christian Kraglund Andersen, Ants Remm, Stefania Lazar, Sebastian Krinner, Nathan Lacroix, Graham J. Norris, Mihai Gabureac, Christopher Eichler, and Andreas Wallraff, “Repeated quantum error detection in a surface code,” Nature Physics 16
2020
Later among the works it cites.
Alan Tran, Alex Bocharov, Bela Bauer, and Parsa Bonderson, “Optimizing clifford gate generation for measurement-only topological quantum computation with majorana zero modes,” SciPost Physics 8
2020
Later among the works it cites.
Hector Bombin, Isaac H. Kim, Daniel Litinski, Naomi Nickerson, Mihir Pant, Fernando Pastawski, Sam Roberts, and Terry Rudolph, “Interleaving: Modular architectures for fault-tolerant photonic quantum computing,” (2021), arXiv:2103.08612 [quant-ph]
Original
2021
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Maika Takita, A. D. Córcoles, Easwar Magesan, Baleegh Abdo, Markus Brink, Andrew Cross, Jerry M. Chow, and Jay M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117

2016

Cited alongside, same era.

S. Plugge, L. A. Landau, E. Sela, A. Altland, K. Flensberg, and R. Egger, “Roadmap to majorana surface codes,” Phys. Rev. B 94

2016

Cited alongside, same era.

A. Bermudez, X. Xu, R. Nigmatullin, J. O’Gorman, V. Negnevitsky, P. Schindler, T. Monz, U. G. Poschinger, C. Hempel, J. Home, F. Schmidt-Kaler, M. Biercuk, R. Blatt, S. Benjamin, and M. Müller, “Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation,” Phys. Rev. X 7

Original

2017

Cited alongside, same era.

Torsten Karzig, Christina Knapp, Roman M. Lutchyn, Parsa Bonderson, Matthew B. Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, Charles M. Marcus, and Michael H. Freedman, “Scalable designs for quasiparticle-poisoning-protected topological quantum computation with majorana zero modes,” Phys. Rev. B 95

Original

2017

Cited alongside, same era.

Stephan Plugge, Asbjørn Rasmussen, Reinhold Egger, and Karsten Flensberg, “Majorana box qubits,” New Journal of Physics 19

2017

Cited alongside, same era.

R. M. Lutchyn, E. P. A. M. Bakkers, L. P. Kouwenhoven, P. Krogstrup, C. M. Marcus, and Y. Oreg, “Majorana zero modes in superconductor–semiconductor heterostructures,” Nature Reviews Materials 3

2018

Cited alongside, same era.

Daniel Litinski and Felix von Oppen, “Quantum computing with majorana fermion codes,” Phys. Rev. B 97

2018

Cited alongside, same era.

Christina Knapp, Michael Beverland, Dmitry I. Pikulin, and Torsten Karzig, “Modeling noise and error correction for majorana-based quantum computing,” Quantum 2

2018

Cited alongside, same era.

Zijun Chen, Kevin J. Satzinger, Juan Atalaya, Alexander N. Korotkov, Andrew Dunsworth, Daniel Sank, Chris Quintana, Matt McEwen, Rami Barends, Paul V. Klimov, Sabrina Hong, Cody Jones, Andre Petukhov, Dvir Kafri, Sean Demura, Brian Burkett, Craig Gidney, Austin G. Fowler, Harald Putterman, Igor Aleiner, Frank Arute, Kunal Arya, Ryan Babbush, Joseph C. Bardin, Andreas Bengtsson, Alexandre Bourassa, Michael Broughton, Bob B. Buckley, David A. Buell, Nicholas Bushnell, Benjamin Chiaro, Roberto Collins, William Courtney, Alan R. Derk, Daniel Eppens, Catherine Erickson, Edward Farhi, Brooks Foxen, Marissa Giustina, Jonathan A. Gross, Matthew P. Harrigan, Sean D. Harrington, Jeremy Hilton, Alan Ho, Trent Huang, William J. Huggins, L. B. Ioffe, Sergei V. Isakov, Evan Jeffrey, Zhang Jiang, Kostyantyn Kechedzhi, Seon Kim, Fedor Kostritsa, David Landhuis, Pavel Laptev, Erik Lucero, Orion Martin, Jarrod R. McClean, Trevor McCourt, Xiao Mi, Kevin C. Miao, Masoud Mohseni, Wojciech Mruczkiewicz, Josh Mutus, Ofer Naaman, Matthew Neeley, Charles Neill, Michael Newman, Murphy Yuezhen Niu, Thomas E. O’Brien, Alex Opremcak, Eric Ostby, Bálint Pató, Nicholas Redd, Pedram Roushan, Nicholas C. Rubin, Vladimir Shvarts, Doug Strain, Marco Szalay, Matthew D. Trevithick, Benjamin Villalonga, Theodore White, Z. Jamie Yao, Ping Yeh, Adam Zalcman, Hartmut Neven, Sergio Boixo, Vadim Smelyanskiy, Yu Chen, Anthony Megrant, and Julian Kelly, “Exponential suppression of bit or phase flip errors with repetitive error correction,” Nature 595

Original

2021