Purification-based metric to measure the distance between quantum states and processes
arXiv:1303.1999 · doi:10.1103/PhysRevA.87.062319
Abstract
In this work we study the properties of an purification-based entropic metric for measuring the distance between both quantum states and quantum processes. This metric is defined as the square root of the entropy of the average of two purifications of mixed quantum states which maximize the overlap between the purified states. We analyze this metric and show that it satisfies many appealing properties, which suggest this metric is an interesting proposal for theoretical and experimental applications of quantum information.
11 pages, 2 figures. arXiv admin note: text overlap with arXiv:quant-ph/0408063, arXiv:1107.1732 by other authors
References in corpus (8)
- Topological Quantum Distillation
- Properties of Classical and Quantum Jensen-Shannon Divergence
- Strong Resilience of Topological Codes to Depolarization
- Witness for initial system-environment correlations in open system dynamics
- On the metric character of the quantum Jensen-Shannon divergence
- Initial correlations in open system's dynamics: The Jaynes-Cummings model
- Alternative fidelity measure for quantum states
- Thermal Instability of Protected End States in a 1-D Topological Insulator