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- Title
A quantum cellular automaton for one-dimensional QED.
- Authors
Arrighi, Pablo; Bény, Cédric; Farrelly, Terry
- Abstract
We propose a discrete spacetime formulation of quantum electrodynamics in one dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates. These have exact gauge covariance and a maximum speed of information propagation. In this picture, the interacting quantum field theory is defined as a "convergent" sequence of quantum cellular automata, parameterized by the spacetime lattice spacing—encompassing the notions of continuum limit and renormalization, and at the same time providing a quantum simulation algorithm for the dynamics.
- Subjects
QUANTUM field theory; CELLULAR automata; QUANTUM gates; QUANTUM electrodynamics
- Publication
Quantum Information Processing, 2020, Vol 19, Issue 3, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-019-2555-4