Fetching the paper…
Reading the bibliography…
We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them.
“On the Clifford collineation, transform and similarity groups. II.”
Beverley Bolt, T. G. Room, and G. E. Wall · 1961
Earlier work this paper cites.
“Decoherence, continuous observation, and quantum computing: A cavity qed model”
T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller · 1995
Earlier work this paper cites.
“Stella: polyhedron navigator”
Robert Webb · 2003
Earlier work this paper cites.
“Introduction to compact riemann surfaces and dessins d’enfants”
Ernesto Girondo and Gabino González-Diez · 2011
Earlier work this paper cites.
“Transversality Versus Universality for Additive Quantum Codes”
Bei Zeng, Andrew Cross, and Isaac L. Chuang · 2011
Earlier work this paper cites.
“Scaling the ion trap quantum processor”
C. Monroe and J. Kim · 2013
Earlier work this paper cites.
“Leveraging automorphisms of quantum codes for fault-tolerant quantum computation”
Markus Grassl and Martin Roetteler · 2013
Earlier work this paper cites.
“Fault-tolerant quantum computation with constant overhead”
Daniel Gottesman · 2014
Earlier work this paper cites.
“Freely scalable quantum technologies using cells of 5-to-50 qubits with very lossy and noisy photonic links”
Naomi H. Nickerson, Joseph F. Fitzsimons, and Simon C. Benjamin · 2014
Earlier work this paper cites.
“How to efficiently select an arbitrary Clifford group element”
Robert Koenig and John A. Smolin · 2014
Earlier work this paper cites.
“Unfolding the color code”
Aleksander Kubica, Beni Yoshida, and Fernando Pastawski · 2015
Earlier work this paper cites.
“John Baez. Golay Code . American Mathematical Society, Visual Insight Blog, 2015. https://blogs.ams.org/visualinsight/2015/12/01/golay-code/ ”
2015
Earlier work this paper cites.
“Transversal Clifford gates on folded surface codes”
Jonathan E. Moussa · 2016
Cited alongside, same era.
“Minimally complex ion traps as modules for quantum communication and computing”
Ramil Nigmatullin, Christopher J Ballance, Niel De Beaudrap, and Simon C Benjamin · 2016
Cited alongside, same era.
“Single-atom single-photon coupling facilitated by atomic-ensemble dark-state mechanisms”
Andrew C. J. Wade, Marco Mattioli, and Klaus Mølmer · 2016
Cited alongside, same era.
“Constructions and Noise Threshold of Hyperbolic Surface Codes”
Nikolas P. Breuckmann and Barbara M. Terhal · 2016
Cited alongside, same era.
“Hyperbolic and semi-hyperbolic surface codes for quantum storage”
Nikolas P. Breuckmann, Christophe Vuillot, Earl Campbell, Anirudh Krishna, and Barbara M. Terhal · 2017
Cited alongside, same era.
“Why I am optimistic about the silicon-photonic route to quantum computing”
“Balanced Product Quantum Codes”
Nikolas P. Breuckmann and Jens N. Eberhardt · 2021
Later among the works it cites.
“Fault-tolerant gates on hypergraph product codes”
Anirudh Krishna and David Poulin · 2021
Later among the works it cites.
“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
Later among the works it cites.
“GAP – Groups, Algorithms, and Programming, Version 4.11.1”
The GAP Group · 2021
Later among the works it cites.
“Quantum LDPC Codes With Almost Linear Minimum Distance”
Pavel Panteleev and Gleb Kalachev · 2022
Closest in time.
“Asymptotically good quantum and locally testable classical ldpc codes”
Pavel Panteleev and Gleb Kalachev · 2022
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Terry Rudolph · 2017
Cited alongside, same era.
“Homological Quantum Codes Beyond the Toric Code”
Nikolas P. Breuckmann · 2017
Cited alongside, same era.
“Low overhead Clifford gates from joint measurements in surface, color, and hyperbolic codes”
Ali Lavasani and Maissam Barkeshli · 2018
Cited alongside, same era.
“The small stellated dodecahedron code and friends”
Jonathan Conrad, Christopher Chamberland, Nikolas P. Breuckmann, and Barbara M. Terhal · 2018
Cited alongside, same era.
“Constant overhead quantum fault tolerance with quantum expander codes”
Omar Fawzi, Antoine Grospellier, and Anthony Leverrier · 2020
Cited alongside, same era.
“Quantum Low-Density Parity-Check Codes”
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
Cited alongside, same era.
“Fiber Bundle Codes”
Matthew B. Hastings, Jeongwan Haah, and Ryan O’Donnell · 2021
Cited alongside, same era.
“Limitations on transversal gates for hypergraph product codes”
Simon Burton and Dan Browne · 2022
Closest in time.
“Low-overhead fault-tolerant quantum computing using long-range connectivity”
Lawrence Z. Cohen, Isaac H. Kim, Stephen D. Bartlett, and Benjamin J. Brown · 2022
Closest in time.
“Fault-tolerant resource estimate for quantum chemical simulations: Case study on li-ion battery electrolyte molecules”
Isaac H. Kim, Ye-Hua Liu, Sam Pallister, William Pol, Sam Roberts, and Eunseok Lee · 2022
Closest in time.
“A quantum processor based on coherent transport of entangled atom arrays”
Dolev Bluvstein, Harry Levine, Giulia Semeghini, Tout T Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, et al · 2022
Closest in time.
“Any-to-any connected cavity-mediated architecture for quantum computing with trapped ions or rydberg arrays”
Joshua Ramette, Josiah Sinclair, Zachary Vendeiro, Alyssa Rudelis, Marko Cetina, and Vladan Vuletić · 2022
Closest in time.
“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.