A superconducting circuit realization of combinatorial gauge symmetry
@article{Chamon2020ASC, title={A superconducting circuit realization of combinatorial gauge symmetry}, author={C. Chamon and D. Green}, journal={arXiv: Quantum Physics}, year={2020} }
We propose a superconducting wire array that realizes a family of quantum Hamiltonians that possess combinatorial gauge symmetry -- a local symmetry where monomial transformations play a central role. This physical system exhibits a rich structure. In the classical limit its ground state consists of two superimposed spin liquids; one is a crystal of small loops containing disordered $U(1)$ degrees of freedom, and the other is a soup of loops of all sizes associated to $\mathbb{Z}_2$ topological… Expand
4 Citations
Experimental Realization of Spin Liquids in a Programmable Quantum Device
- Physics, Computer Science
- 2020
- 4
- PDF
References
SHOWING 1-10 OF 23 REFERENCES
Topological order, emergent gauge fields, and Fermi surface reconstruction.
- Physics, Medicine
- Reports on progress in physics. Physical Society
- 2019
- 63
- PDF
Physical implementation of protected qubits.
- Physics, Medicine
- Reports on progress in physics. Physical Society
- 2012
- 146
Quantum spin liquids: a review.
- Physics, Medicine
- Reports on progress in physics. Physical Society
- 2017
- 629
- PDF
Engineering exotic phases for topologically protected quantum computation by emulating quantum dimer models
- Physics
- 2007
- 11
- PDF
Topologically protected quantum bits using Josephson junction arrays
- Physics, Medicine
- Nature
- 2002
- 118
- PDF