Optimal Control of Markovian and non-Markovian Open Quantum Systems
Thomas Schulte-Herbrueggen
Dept. of Chemistry, Technische Universität München
17:00 - 18:00 Tuesday 20 January 2009 KFU For realistic examples of Markovian and non-Markovian open quantum systems we show how optimal controls obtained numerically [1] typically cut errors by one order of magnitude [2,3,4]. The examples include spin- and pseudo-spin systems, e.g., capacitively coupled charge qubits. The setting can easily be generalised to arbitrary $N$-level systems.
We sketch the relation between time-optimal and relaxation-optimised controls in the light of new pictures emerging in terms of Lie semigroups [5].
Implications in view of quantum CISC-compilation [6] for large systems (with say 100 qubits) are given including an outlook on how to assemble those CISC modules in a decoherence-protected way.
References:
[1] Khaneja et al., J. Magn. Reson. 172, 296 (2005);
Schulte-Herbrüggen et al., PRA 72, 042331 (2005).
[2] Spörl et al., PRA 75, 012302 (2007)
[3] Schulte-Herbrüggen et al., quant-ph/0609037
[4] Rebentrost et al., quant-ph/0612165
[5] Dirr et al., arXiv:0811.4195
[6] Schulte-Herbrüggen et al., arXiv:0712.3227
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