Quantum

Zero noise extrapolation of transport coefficients

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Briefings

A new study on arXiv demonstrates that zero-noise extrapolation fails for transport coefficients in noisy spin chains due to non-analytic corrections. The research identifies that effective spin diffusion and subdiffusion coefficients scale as gamma to the power of one-half, rather than linearly, in the noiseless limit. This finding challenges standard ZNE assumptions and requires accounting for universal nonlinear hydrodynamic corrections.

Key points

• Zero-noise extrapolation fails for transport coefficients in noisy spin chains because universal nonlinear corrections produce non-analytic dependence on noise strength gamma.
• Effective spin diffusion coefficient of a dissipative Heisenberg chain scales as gamma to the power of one-half, not linearly, in the noiseless limit.

Context

NISQ devices estimate noiseless system properties from noisy measurements, but standard zero-noise extrapolation fails when noise violates conservation laws. This study provides the first analytical framework for correcting these failures in one-dimensional non-integrable spin chains.

Limitations

The study benchmarks analytical predictions numerically but does not provide experimental validation or long-term stability data for the proposed corrections.

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