Off-diagonal quantum holonomy along density operators
arXiv:quant-ph/0403204 · doi:10.1016/j.physleta.2005.05.043
Abstract
Uhlmann's concept of quantum holonomy for paths of density operators is generalised to the off-diagonal case providing insight into the geometry of state space when the Uhlmann holonomy is undefined. Comparison with previous off-diagonal geometric phase definitions is carried out and an example comprising the transport of a Bell-state mixture is given.
13 pages, revised version with new example section
References in corpus (5)
- An experimental observation of geometric phases for mixed states using NMR interferometry
- Measurement of geometric phase for mixed states using single photon interferometry
- Geometric phase for mixed states: a differential geometric approach
- Off-diagonal generalization of the mixed state geometric phase
- Kinematic approach to off-diagonal geometric phases of nondegenerate and degenerate mixed states