Quantum Simulation of Conformal Field Theory

authored by

Tobias J. Osborne, Alexander Stottmeister

Abstract

Conformal field theory, describing systems with scaling symmetry, plays a crucial role throughout physics. We describe a quantum algorithm to simulate the dynamics of conformal field theories, including the action of local conformal transformations. A full analysis of the approximation errors suggests near-term applicability of our algorithm: promising results for conformal field theories with central charge c=1/2 are obtained already with 128 logical qubits.

Organisation(s)

Institute of Theoretical Physics
QuantumFrontiers

Type

Preprint

Publication date

29.09.2021

Publication status

E-pub ahead of print

Electronic version(s)

https://doi.org/10.48550/arXiv.2109.14214 (Access: Open)