Advancements in Quantum Error Mitigation Techniques

Recent advancements in quantum error mitigation techniques have been discussed in a comment on the paper titled "Recovering noise-free quantum observables" by Josu Etxezarreta Martinez and colleagues. The original paper proposed a multidimensional generalization of the polynomial zero-noise extrapolation (ZNE) method, which is widely used to recover noise-free expectation values in quantum systems. This method is particularly relevant for Noisy Intermediate-Scale Quantum (NISQ) machines, which are currently in use.

The authors of the comment highlight that the proposed method by Otten and Gray, while technically correct, suffers from significant experimental overhead due to the need for multiple repetitions of experiments. This overhead can make the method impractical for real-world applications in quantum computing.

In their analysis, the authors demonstrate that traditional extrapolation techniques can be effectively applied to systems with non-identically distributed noise, which consists of various noise sources affecting different qubits. This approach significantly reduces the measurement overhead, making it more feasible for practical implementation.

The findings suggest that by clarifying the concept of a tunable global noise source in the context of ZNE, researchers can better understand the applicability of these methods. This could lead to more efficient quantum computing practices, as reducing noise in quantum systems is crucial for improving their performance and reliability.

The comment is available for further reading on arXiv under the identifier arXiv:2405.00037.