Fidelity of quantum operations

By L. H. Pedersen, Klaus Mølmer, Niels Moller. 2007

343 citations recorded by the source corpus.

Abstract We present a derivation and numerous applications of a compact explicit formula for the average fidelity of a quantum operation on a finite-dimensional quantum system. The formula can be applied to averages over particularly relevant subspaces; it is easily generalized to multi-component systems, and as a special result, we show that when the same completely positive trace-preserving map is applied to a large number of qubits with one-bit fidelity F close to unity, the average fidelity of the operation on the full K-bit register scales as F 3 K / 2 .

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/8b260fc225dc0b78d09563080e839df2429f1229

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Suppressing quantum errors by scaling a surface code logical qubit (2022, unknown): “[81].”
High-Fidelity, Frequency-Flexible Two-Qubit Fluxonium Gates with a Transmon Coupler (2023, background): “(K1) where Mk = PU † 0GkP , and n is the dimension of the computational subspace [54].”