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Hamburg 2009 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 63: Quanteninformation: Quantencomputer

Q 63.1: Talk

Friday, March 6, 2009, 14:00–14:15, VMP 6 HS-A

Optimal Control of Open Quantum Systems: Markovian and non-Markovian — •Thomas Schulte-Herbrüggen1, Andreas Spörl1, Patrick Rebentrost2,3, Frank Wilhelm3, and Steffen Glaser11Technical University Munich (TUM), 85747 Garching — 2Harvard University, Cambridge MA, USA — 3Institute for Quantum Computation (IQC), Waterloo, Canada

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 for quantum CISC-compilation [6] in large systems (≥100 qubits) are given as well as an outlook on how to assemble CISC modules in a decoherence-protected way.

[1] Khaneja et al., J. Magn. Reson. 172, 296-305 (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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