Compare quantum operation sensitivity for different distance measures. (English) Zbl 1228.81103
Summary: We compare the quantum operation sensitivity for different distance measures. We find that, among all usual distance measures, Bures fidelity is more sensitive to quantum operation than others. This may explain in some sense why fidelity is so useful in quantum information theory.
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 81P15 | Quantum measurement theory, state operations, state preparations |
| 94A40 | Channel models (including quantum) in information and communication theory |
