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Combinatorial gauge symmetry is a principle that allows us to construct lattice gauge theories with two key and distinguishing properties: a) only one- and two-body interactions are needed; and b) the symmetry is exact rather than emergent in an effective or perturbative limit.
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Possible realization of an ideal quantum computer in josephson junction array ,
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Fault-tolerant quantum computation by anyons ,
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Measurement of the current-phase relation of superconductor/ferromagnet/superconductor � \pi josephson junctions ,
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Anyons in an exactly solved model and beyond ,
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Superconducting � \pi qubit with a ferromagnetic josephson junction ,
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Topological quantum distillation ,
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Nonperturbative k \mathit{k} -body to two-body commuting conversion hamiltonians and embedding problem instances into ising spins ,
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Quantum simulation of many-body hamiltonians using perturbation theory with bounded-strength interactions ,
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Perturbative gadgets at arbitrary orders ,
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Implementation of superconductor/ferromagnet/ superconductor � \pi -shifters in superconducting digital and quantum circuits ,
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Toric codes and quantum doubles from two-body hamiltonians ,
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Nonperturbative gadget for topological quantum codes ,
S. A. Ocko and B. Yoshida, · 2011
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Hamiltonian gadgets with reduced resource requirements ,
Y. Cao, R. Babbush, J. Biamonte and S. Kais, · 2015
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Fracton topological order, generalized lattice gauge theory, and duality ,
S. Vijay, J. Haah and L. Fu, · 2016
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Superconducting quantum simulator for topological order and the toric code ,
M. Sameti, A. Potočnik, D. E. Browne, A. Wallraff and M. J. Hartmann, · 2017
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Embedding quadratization gadgets on chimera and pegasus graphs ,
N. Dattani and N. Chancellor, · 2019
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Constructing quantum spin liquids using combinatorial gauge symmetry ,
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Quantum phases of matter on a 256-atom programmable quantum simulator ,
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Realizing topologically ordered states on a quantum processor ,
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A. Rocchetto, S. C. Benjamin and Y. Li, · 2016
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A direct mapping of max k-sat and high order parity checks to a chimera graph ,
N. Chancellor, S. Zohren, P. A. Warburton, S. C. Benjamin and S. Roberts, · 2016
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Nonperturbative embedding for highly nonlocal hamiltonians ,
Y. b. u. Subaş ı and C. Jarzynski, · 2016
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Controllable 0– � \pi josephson junctions containing a ferromagnetic spin valve ,
E. C. Gingrich, B. M. Niedzielski, J. A. Glick, Y. Wang, D. L. Miller, R. Loloee, W. P. Pratt Jr and N. O. Birge, · 2016
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Circuit design for multi-body interactions in superconducting quantum annealing systems with applications to a scalable architecture ,
N. Chancellor, S. Zohren and P. A. Warburton, · 2017
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Z.-C. Yang, D. Green, H. Yu and C. Chamon, · 2021
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z 2 {\mdmathbb{z}}_{2} topological order and first-order quantum phase transitions in systems with combinatorial gauge symmetry ,
K.-H. Wu, Z.-C. Yang, D. Green, A. W. Sandvik and C. Chamon, · 2021
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Superconducting circuit realization of combinatorial gauge symmetry ,
C. Chamon, D. Green and A. J. Kerman, · 2021
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Experimental realization of classical z 2 {\mdmathbb{z}}_{2} spin liquids in a programmable quantum device ,
S. Zhou, D. Green, E. D. Dahl and C. Chamon, · 2021
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A transmon quantum annealer: decomposing many-body ising constraints into pair interactions ,
M. Leib, P. Zoller and W. Lechner, · 2058
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