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Robustness of Gauge Digitization to Quantum Noise
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abstract
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.
Forward citations
Cited by 3 Pith papers
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The Utility of Sparse Error Detection in Quantum Simulations
Sparse error detection in small Iceberg codes reduces systematic errors in simulated Schwinger-model observables under depolarizing noise, with diminishing returns after a few detection layers.
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Arbitrary-Distance Quantum Error Correction with Gauss's Law for $\mathbb Z_2$ Lattice Gauge Theory
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.
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Quantum Frontiers in High Energy Physics
A review of quantum sensing, quantum simulation, quantum machine learning, and collider-based quantum tests applied to open high-energy physics problems.
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