Fault-tolerant simulation of Lattice Gauge Theories with gauge covariant codes
University of Trento · Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications · +3 more institutions
Abstract
We show in this paper that a strong and easy connection exists between quantum error correction and Lattice Gauge Theories (LGT) by using the Gauge symmetry to construct an efficient error-correcting code for Abelian Z 2 LGTs. We identify the logical operations on this gauge covariant code and show that the corresponding Hamiltonian can be expressed in terms of these logical operations while preserving the locality of the interactions. Furthermore, we demonstrate that these substitutions actually give a new way of writing the LGT as an equivalent hardcore boson model. Finally we demonstrate a method to perform fault-tolerant time evolution of the Hamiltonian within the gauge covariant code using both…
Citation impact
- FWCI
- 100.41
- Percentile
- 99%
- References
- 44
Authors
3- LSL. SpagnoliCorresponding
University of Trento, Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications
- ARAlessandro Roggero
University of Trento, Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications
- NWNathan Wiebe
Pacific Northwest National Laboratory, University of Toronto, University of Washington
Topics & keywords
- Covariant transformation
- Lattice gauge theory
- Lattice (music)
- Theoretical physics
- Gauge (firearms)
- Gauge theory
- Hamiltonian lattice gauge theory
- Gauge anomaly