Berlin 2012 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 13: Transport: Poster Session
TT 13.47: Poster
Monday, March 26, 2012, 15:00–19:00, Poster B
Master Equation Description of Subsystem and Subspace Qubits — •Sebastian Mehl1,2 and David P. DiVincenzo1,2 — 1Peter Grünberg Institute: Theoretical Nanoelectronics, Research Center Jülich, D-52428 Jülich — 2Institute for Quantum Information, RWTH Aachen, D-52056 Aachen
It is possible to implement and control qubits in a higher dimensional Hilbert space. Especially for spin based solid state qubits this approach is widely used to improve phase coherence properties. Encoded qubits are currently experimentally analyzed in double and triple quantum dot setups [1,2].
We present the idea to encode qubits in a subspace and a subsystem of a Hilbert space [3]. Starting from a simple model describing the dissipative evolution of the density matrix in the full Hilbert space we develop a master equation description for the subsystem and subspace approach. Particular attention is paid to the influence of the chosen approach on the memory kernel of the Master equation.
[1] R. Hansen et al., Rev. Mod. Phys. 79, 1217 (2007)
[2] E. A. Laird et al., Phys. Rev. B 82, 075403 (2010)
[3] J. Kempe et al., PRA, 63, 042307 (2001)