English

A simple formula for the average gate fidelity of a quantum dynamical operation

Quantum Physics 2009-11-07 v2

Abstract

This note presents a simple formula for the average fidelity between a unitary quantum gate and a general quantum operation on a qudit, generalizing the formula for qubits found by Bowdrey et al [Phys. Lett. A 294, 258 (2002)]. This formula may be useful for experimental determination of average gate fidelity. We also give a simplified proof of a formula due to Horodecki et al [Phys. Rev. A 60, 1888 (1999)], connecting average gate fidelity to entanglement fidelity.

Keywords

Cite

@article{arxiv.quant-ph/0205035,
  title  = {A simple formula for the average gate fidelity of a quantum dynamical operation},
  author = {Michael A. Nielsen},
  journal= {arXiv preprint arXiv:quant-ph/0205035},
  year   = {2009}
}

Comments

3 pages, references and discussion of prior work updated

R2 v1 2026-07-22T19:34:49.794Z