Quantum Channel Negativity as a Measure of System-Bath Coupling and Correlation

Abstract

Complete positivity is a ubiquitous assumption in the study of quantum systems interacting with the environment, but the lack of complete positivity of a quantum evolution (called the "negativity") can be used as a measure of the system-bath coupling and correlation. The negativity can be computed from the Choi representation of a channel, is always defined and bounded, and can be used to understand environmentally induced noise in a quantum system.

11 pages, 9 figures; added acknowledgements

References in corpus (2)

• Open system quantum dynamics with correlated initial states, not completely positive maps and non-Markovianity
• Quantumness of correlations and entanglement

Cited by in corpus (2)

• Lindblad equation and its semi-classical limit of the Anderson-Holstein model
• Adapted projection operator technique for the treatment of initial correlations