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Robustness of Gauge Digitization to Quantum Noise

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arxiv 2301.10207 v1 pith:ILAEP7PJ submitted 2023-01-24 hep-lat quant-ph

Robustness of Gauge Digitization to Quantum Noise

classification hep-lat quant-ph
keywords quantumgaugenoisedigitizationmemorysymmetrytheoriesabelian
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum noise limits the use of quantum memory in high energy physics simulations. In particular, it breaks the gauge symmetry of stored quantum states. We examine this effect for abelian and nonabelian theories and demonstrate that optimizing the digitization of gauge theories to quantum memory to account for noise channels can extend the lifetime before complete loss of gauge symmetry by $2-10\times$ over some other digitizations. These constructions also allow for quantum error correction to integrate the symmetries of quantum fields and prioritize the largest gauge violations.

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Cited by 2 Pith papers

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  2. Error Correction in Lattice Quantum Electrodynamics with Quantum Reference Frames

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    Lattice QED is established as a quantum error-correcting code beyond stabilizers, with explicit recovery operations constructed via quantum reference frames for gauge and fermionic sectors.