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Quantum Simulation
Oracles for Gauss's law on digital quantum computers
arXiv
Authors: Jesse R. Stryker
Year
2018
Paper ID
22917
Status
Preprint
Abstract Read
~2 min
Abstract Words
107
Citations
N/A
Abstract
Formulating a lattice gauge theory using only physical degrees of freedom generically leads to non-local interactions. A local Hamiltonian is desirable for quantum simulation, and this is possible by treating the Hilbert space as a subspace of a much larger Hilbert space in which Gauss's law is not automatic. Digital quantum simulations of this local formulation will wander into unphysical sectors due to errors from Trotterization or from quantum noise. In this work, oracles are constructed that use local Gauss law constraints to projectively distinguish physical and unphysical wave functions in Abelian lattice gauge theories. Such oracles can be used to detect errors that break Gauss's law.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2018 reference point for readers tracking recent quantum research.
- Formulating a lattice gauge theory using only physical degrees of freedom generically leads to non-local interactions.
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