Operational approach to the Uhlmann holonomy

Johan Aberg; David Kult; Erik Sjoqvist; Daniel K.L. Oi

doi:10.1103/PhysRevA.75.032106

Operational approach to the Uhlmann holonomy

Johan Aberg
, David Kult
, Erik Sjoqvist
, Daniel K.L. Oi

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

18 Citations (Scopus)

Abstract

We suggest a physical interpretation of the Uhlmann amplitude of a density operator. Given this interpretation we propose an operational approach to obtain the Uhlmann condition for parallelity. This allows us to realize parallel transport along a sequence of density operators by an iterative preparation procedure. At the final step the resulting Uhlmann holonomy can be determined via interferometric measurements.

Original language	English
Pages (from-to)	032106
Number of pages	7
Journal	Physical Review A
Volume	75
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.75.032106
Publication status	Published - Mar 2007

Keywords

mixed states
phase
Uhlmann holonomy
Uhlmann amplitude

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10.1103/PhysRevA.75.032106

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title = "Operational approach to the Uhlmann holonomy",

abstract = "We suggest a physical interpretation of the Uhlmann amplitude of a density operator. Given this interpretation we propose an operational approach to obtain the Uhlmann condition for parallelity. This allows us to realize parallel transport along a sequence of density operators by an iterative preparation procedure. At the final step the resulting Uhlmann holonomy can be determined via interferometric measurements.",

keywords = "mixed states, phase, Uhlmann holonomy, Uhlmann amplitude",

author = "Johan Aberg and David Kult and Erik Sjoqvist and Oi, \{Daniel K.L.\}",

year = "2007",

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doi = "10.1103/PhysRevA.75.032106",

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T1 - Operational approach to the Uhlmann holonomy

AU - Aberg, Johan

AU - Kult, David

AU - Sjoqvist, Erik

AU - Oi, Daniel K.L.

PY - 2007/3

Y1 - 2007/3

N2 - We suggest a physical interpretation of the Uhlmann amplitude of a density operator. Given this interpretation we propose an operational approach to obtain the Uhlmann condition for parallelity. This allows us to realize parallel transport along a sequence of density operators by an iterative preparation procedure. At the final step the resulting Uhlmann holonomy can be determined via interferometric measurements.

AB - We suggest a physical interpretation of the Uhlmann amplitude of a density operator. Given this interpretation we propose an operational approach to obtain the Uhlmann condition for parallelity. This allows us to realize parallel transport along a sequence of density operators by an iterative preparation procedure. At the final step the resulting Uhlmann holonomy can be determined via interferometric measurements.

KW - mixed states

KW - phase

KW - Uhlmann holonomy

KW - Uhlmann amplitude

U2 - 10.1103/PhysRevA.75.032106

DO - 10.1103/PhysRevA.75.032106

M3 - Article

SN - 1050-2947

VL - 75

SP - 032106

JO - Physical Review A

JF - Physical Review A

IS - 3

ER -

Operational approach to the Uhlmann holonomy

Abstract

Keywords

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