4-7 August 2020
Asia/Tokyo timezone

Noise-robust Implementation of Gauss's law for quantum computers

6 Aug 2020, 15:20


Theoretical Developments Theoretical Developments


Yannick Meurice (University of iowa)


We discuss continuous symmetries identities using the tensor formulation of lattice spin and gauge models. We show that the symmetries are encoded in the selection rules of the tensor. This allows truncations that preserve the symmetries exactly. We present the tensorial expression of the transfer matrix for Abelian gauge theories and explain how gauge fixing and Gauss's law relate.
We propose redefinitions of the electric quantum numbers such that Gauss's law is always satisfied even when the time evolution is implemented on NISQ devices. We discuss ways to minimize the number of degrees of freedom.
We briefly discuss practical implementations for a Z2 gauge theory.
This follows arXiv:2003.10986 (Phys. Rev. D in press) and Phys. Rev. D 100, 014506

Primary author

Yannick Meurice (University of iowa)


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