M P A Branderhorst et al 2009 New J. Phys. 11 115010 doi:10.1088/1367-2630/11/11/115010
M P A Branderhorst1, J Nunn1, I A Walmsley1 and R L Kosut2
Show affiliationsPart of Focus on Quantum Control
We propose and evaluate experimentally an approach to quantum process tomography that completely removes the scaling problem plaguing the standard approach. The key to this simplification is the incorporation of prior knowledge of the class of physical interactions involved in generating the dynamics, which reduces the problem to one of parameter estimation. This allows part of the problem to be tackled using efficient convex methods, which, when coupled with a constraint on some parameters, allows globally optimal estimates for the Krauss operators to be determined from experimental data. Parameterizing the maps provides further advantages: it allows the incorporation of mixed states of the environment as well as some initial correlation between the system and environment, both of which are common physical situations following excitation of the system away from thermal equilibrium. Although the approach is not universal, in cases where it is valid it returns a complete set of positive maps for the dynamical evolution of a quantum system at all times.
03.65.Wj State reconstruction, quantum tomography
03.65.Yz Decoherence; open systems; quantum statistical methods
Issue 11 (November 2009)
Received 7 August 2009
Published 13 November 2009
M P A Branderhorst et al 2009 New J. Phys. 11 115010
S Franz et al 2008 J. Phys. A: Math. Theor. 41 324011
Lu Zhong-Lin et al 2009 Chinese Phys. Lett. 26 116102
Iwan Jensen J. Stat. Mech. (2004) P10008
V B Braginsky 1998 Phys. Scr. 1998 122
Jaume Haro and Emilio Elizalde 2008 J. Phys. A: Math. Theor. 41 372003
Teviet Creighton 2008 Class. Quantum Grav. 25 125011
Zhan-Peng Liang et al 2009 J. Phys.: Condens. Matter 21 464117
C Huang et al 2009 J. Phys.: Conf. Ser. 180 012005
Yangqiao Liu et al 2007 Nanotechnology 18 365702