Gauge-invariant quantum circuits for U (1) and Yang-Mills lattice gauge theories

  title={Gauge-invariant quantum circuits for 
(1) and Yang-Mills lattice gauge theories},
  author={Giulia Mazzola and Simon V. Mathis and Guglielmo Mazzola and Ivano Tavernelli},
  journal={Physical Review Research},
Quantum computation represents an emerging framework to solve lattice gauge theories (LGT) with arbitrary gauge groups, a general and long-standing problem in computational physics. While quantum computers may encode LGT using only polynomially increasing resources, a major openissue concerns the violation of gauge-invariance during the dynamics and the search for groundstates. Here, we propose a new class of parametrized quantum circuits that can represent states belonging only to the physical… 

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