Fetching the paper…
Reading the bibliography…
We describe a computationally-efficient heuristic algorithm based on a renormalization-group procedure which aims at solving the problem of finding minimal surface given its boundary (curve) in any hypercubic lattice of dimension $D>2$.
Duality in generalized Ising models and phase transitions without local order parameters
Franz J. Wegner · 1971
Earlier work this paper cites.
Experiments with a gauge-invariant Ising system
Michael Creutz, Laurence Jacobs, and Claudio Rebbi · 1979
Earlier work this paper cites.
A Crystalline Approximation Theorem for Hypersurfaces
J. M. Sullivan · 1990
Earlier work this paper cites.
Fault-tolerant quantum computation
P. W. Shor · 1996
Earlier work this paper cites.
Quantum codes on a lattice with boundary
S. B. Bravyi and A. Y. Kitaev · 1998
Earlier work this paper cites.
Projective plane and planar quantum codes
M. H. Freedman and D. A. Meyer · 1998
Earlier work this paper cites.
Algebraic Topology
Allen Hatcher · 2001
Earlier work this paper cites.
Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
Earlier work this paper cites.
Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory
C. Wang, J. Harrington, and J. Preskill · 2003
Earlier work this paper cites.
Self-dual random-plaquette gauge model and the quantum toric code
Koujin Takeda and Hidetoshi Nishimori · 2004
Earlier work this paper cites.
Phase structure of the random-plaquette Z 2 Z_{2} gauge model: accuracy threshold for a toric quantum memory
Takuya Ohno, Gaku Arakawa, Ikuo Ichinose, and Tetsuo Matsui · 2004
Earlier work this paper cites.
Analysis of quantum error-correcting codes: symplectic lattice codes and toric codes
J. Harrington · 2004
Earlier work this paper cites.
Quantum computing with realistically noisy devices
E. Knill · 2005
Earlier work this paper cites.
String and membrane condensation on three-dimensional lattices
A. Hamma, P. Zanardi, and X.-G. Wen · 2005
Earlier work this paper cites.
A statistical mechanics view on Kitaev’s proposal for quantum memories
R. Alicki, M. Fannes, and M. Horodecki · 2007
Cited alongside, same era.
Fault-tolerant quantum computation with high threshold in two dimensions
Robert Raussendorf and Jim Harrington · 2007
Cited alongside, same era.
High-threshold universal quantum computation on the surface code
Austin G. Fowler, Ashley M. Stephens, and Peter Groszkowski · 2009
Cited alongside, same era.
On thermal stability of topological qubit in Kitaev’s 4D model
R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki · 2010
Cited alongside, same era.
Fast decoders for topological quantum codes
G. Duclos-Cianci and D. Poulin · 2010
Cited alongside, same era.
Surface code quantum computing with error rates over 1%
David S. Wang, Austin G. Fowler, and Lloyd C. L. Hollenberg · 2011
Cited alongside, same era.
Diamond nv centers for quantum computing and quantum networks
Lilian Childress and Ronald Hanson · 2013
Later among the works it cites.
Classification of topologically protected gates for local stabilizer codes
Sergey Bravyi and Robert König · 2013
Later among the works it cites.
Fault-tolerant renormalization group decoder for Abelian topological codes
Guillaume Duclos-Cianci and David Poulin · 2014
Later among the works it cites.
Fast decoders for qudit topological codes
Hussain Anwar, Benjamin J Brown, Earl T Campbell, and Dan E Browne · 2014
Later among the works it cites.
Quantum error correction for quantum memories
Barbara M. Terhal · 2015
Later among the works it cites.
Single-shot fault-tolerant quantum error correction
Héctor Bombín · 2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Fault-tolerant quantum computing with color codes
A. J. Landahl, J. T. Anderson, and P. R. Rice · 2011
Cited alongside, same era.
Surface code quantum error correction incorporating accurate error propagation
A. G. Fowler, D. S. Wang, and L. C. L. Hollenberg · 2011
Cited alongside, same era.
An elementary quantum network of single atoms in optical cavities
S. Ritter, C. Nölleke, C. Hahn, A. Reiserer, A. Neuzner, M. Uphoff, M. Mücke, E. Figueroa, J. Bochmann, and G. Rempe · 2012
Cited alongside, same era.
Efficient decoding of topological color codes
P. Sarvepalli and R. Raussendorf · 2012
Cited alongside, same era.
Surface codes: Towards practical large-scale quantum computation
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland · 2012
Cited alongside, same era.
Quantum self-correction in the 3D cubic code model
Sergey Bravyi and Jeongwan Haah · 2013
Cited alongside, same era.
Fault-tolerant logical gates in quantum error-correcting codes
Fernando Pastawski and Beni Yoshida · 2015
Later among the works it cites.
Unfolding the color code
Aleksander Kubica, Beni Yoshida, and Fernando Pastawski · 2015
Later among the works it cites.
The steep road towards robust and universal quantum computation
E. T. Campbell, B. M. Terhal, and C. Vuillot · 2016
Later among the works it cites.
Toward Realizable Quantum Computers
M. Beverland · 2016
Later among the works it cites.
Fault-tolerant error correction with the gauge color code
B. J. Brown, N. H. Nickerson, and D. E. Browne · 2016
Later among the works it cites.
Gurobi optimizer reference manual, 2016
Inc. Gurobi Optimization · 2016
Later among the works it cites.
Local decoders for the 2D and 4D toric code
N. P. Breuckmann, K. Duivenvoorden, D. Michels, and B. M. Terhal · 2017
Closest in time.