Quantum-resource interpretation of randomized compiling

Determine whether genuine quantum resources, such as entanglement-based coherent randomness, can sharpen the error-reduction interpretation connecting randomly compiled classical simulations with quantum error correction.

Background

The paper observes that the classical randomness used by randomized compiling can be represented through purification as coherent entanglement with an ancillary register. This suggests a possible connection between averaging over many classical simulation runs and quantum error-correction-like reductions of systematic bias. The authors emphasize that the analogy is incomplete because the errors considered are systematic biases rather than stochastic errors, and they leave open whether genuinely quantum resources can provide a stronger effect or make the connection precise.