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In this paper, I present a way to compile the surface code into two-body parity measurements ("pair measurements"), where the pair measurements run along the edges of a Cairo pentagonal tiling.
Interacting quantum observables: categorical algebra and diagrammatics
Bob Coecke and Ross Duncan · 2011
Earlier work this paper cites.
Surface codes: Towards practical large-scale quantum computation
A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland · 2012
Earlier work this paper cites.
Surface code quantum computing by lattice surgery
Clare Horsman, Austin G Fowler, Simon Devitt, and Rodney Van Meter · 2012
Earlier work this paper cites.
A simplified stabilizer ZX-calculus
Miriam Backens, Simon Perdrix, and Quanlong Wang · 2017
Earlier work this paper cites.
Picturing quantum processes
Bob Coecke and Aleks Kissinger · 2017
Earlier work this paper cites.
Optimization of the surface code design for majorana-based qubits
Rui Chao, Michael E Beverland, Nicolas Delfosse, and Jeongwan Haah · 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.
Almost-linear time decoding algorithm for topological codes
Nicolas Delfosse and Naomi H Nickerson · 2021
Cited alongside, same era.
Stim: a fast stabilizer circuit simulator
Craig Gidney · 2021
Cited alongside, same era.
A fault-tolerant honeycomb memory
Craig Gidney, Michael Newman, Austin Fowler, and Michael Broughton · 2021
Cited alongside, same era.
Data for "A Pair Measurement Surface Code on Pentagons", June 2022a
Craig Gidney
Cited in the paper.
Sinter source code on github
Craig Gidney
Cited in the paper.
Dynamically generated logical qubits
Matthew B Hastings and Jeongwan Haah · 2021
Later among the works it cites.
Benchmarking the planar honeycomb code
Craig Gidney and Michael Newman · 2022
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 · 2022
Closest in time.
Cairo pentagonal tiling — Wikipedia, the free encyclopedia
Wikipedia · 2022
Closest in time.
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