Fidelity of single qubit maps

2002/01/24 by M. D. Bowdrey, Daniel K. L. Oi, D. K. L. Oi +6 · 8 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1016/s0375-9601(02)00069-5

published as Phys. Lett. A 294, 258 (2002) · 5 pages RevTex4, no figures. Physics Letters A in press. Supersedes quant-ph/0103090 and quant-ph/0103060

arxiv created 2002/01/24 · openalex publication_date 2002/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We describe a simple way of characterizing the average fidelity between a unitary (or anti-unitary) operator and a general operation on a single qubit, which only involves calculating the fidelities for a few pure input states, and discuss possible applications to experimental techniques including Nuclear Magnetic Resonance (NMR).

Cited by

• A Single-Atom Quantum Memory
• The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin Chains
• Distance measures to compare real and ideal quantum processes
• Exchange-controlled single-electron-spin rotations in quantum dots
• Quantum reference frames and the classification of rotationally invariant maps
• Scalable noise estimation with random unitary operators
• Theory of Fast Optical Spin Rotation in a Quantum Dot Based on Geometric Phases and Trapped States
• Simple Pulses for Elimination of Leakage in Weakly Nonlinear Qubits

Related

• Fidelity of Single Qubit Maps
• A fidelity measure for quantum channels
• Average fidelity between random quantum states
• Certifying quantumness with the classical fidelity threshold
• A note on the measures of process fidelity for non-unitary quantum operations