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Dynamical gauge fields with bosonic codes

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arxiv 2211.12119 v2 pith:ACYJXGGB submitted 2022-11-22 quant-ph cond-mat.mes-hall

Dynamical gauge fields with bosonic codes

classification quant-ph cond-mat.mes-hall
keywords gaugedynamicalbosoniccodesfieldshigh-energyquantumresonators
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The quantum simulation of dynamical gauge field theories offers the opportunity to study complex high-energy physics with controllable low-energy devices. For quantum computation, bosonic codes promise robust error correction that exploits multi-particle redundancy in bosons. Here, we demonstrate how bosonic codes can be used to simulate dynamical gauge fields. We encode both matter and dynamical gauge fields in a network of resonators that are coupled via three-wave-mixing. The mapping to a $\mathbb{Z}_2$ dynamical lattice gauge theory is established when the gauge resonators operate as Schr\"odinger cat states. We explore the optimal conditions under which the system preserves the required gauge symmetries. Our findings promote realising high-energy models using bosonic codes.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Arbitrary-Distance Quantum Error Correction with Gauss's Law for $\mathbb Z_2$ Lattice Gauge Theory

    hep-lat 2026-07 accept novelty 6.0

    Gauss's law constraints in Z2 lattice gauge theory can be made into quantum error-correcting codes of arbitrary distance, with provably optimal encoding rate within the constructed family.