Randomized Benchmarking with Synthetic Quantum Circuits

Understand

Noise characterization methods such as randomized benchmarking (RB) are critical for the development of scalable quantum computers.

• Modern RB protocols for multiqubit systems extract physically relevant error rates by exploiting the structure of the group representation generated by the set of benchmarked operations.
• However, existing techniques become prohibitively inefficient for representations that are highly reducible yet decompose into irreducible subspaces of high dimension.
• These situations prevail when benchmarking high-dimensional systems such as qudits or bosonic modes, where experimental control is limited to implementing a small subset of all possible unitary operations.