Off-diagonal quantum holonomy along density operators

Stefan Filipp; Erik Sjöqvist

doi:10.1016/j.physleta.2005.05.043

Off-diagonal quantum holonomy along density operators

Stefan Filipp, Erik Sjöqvist

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	205-212
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	342
Issue number	3
DOIs	https://doi.org/10.1016/j.physleta.2005.05.043
State	Published - 11 Jul 2005
Externally published	Yes

Keywords

Geometric phase
Quantum holonomy

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10.1016/j.physleta.2005.05.043

Cite this

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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.",

keywords = "Geometric phase, Quantum holonomy",

author = "Stefan Filipp and Erik Sj{\"o}qvist",

note = "Funding Information: S.F. acknowledges support from the Austrian Science Foundation, Project No. F1513. The work by E.S. was supported in part by the Swedish Research Council.",

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AB - 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.

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KW - Quantum holonomy

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Off-diagonal quantum holonomy along density operators

Abstract

Keywords

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