Structured singular value analysis for spintronics network information transfer control

Abstract

Control laws for selective transfer of information encoded in excitations of a quantum network, based on shaping the energy landscape using time-invariant, spatially-varying bias fields, can be successfully designed using numerical optimization. Such control laws, already departing from classicality by replacing closed-loop asymptotic stability with alternative notions of localization, have the intriguing property that for all practical purposes they achieve the upper bound on the fidelity, yet the (logarithmic) sensitivity of the fidelity to such structured perturbation as spin coupling errors and bias field leakages is nearly vanishing. Here, these differential sensitivity results are extended to large structured variations using $\mu$-design tools to reveal a crossover region in the space of controllers where objectives usually thought to be conflicting are actually concordant.

7 pages, 6 figures

References in corpus (8)

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• Quantum simulation of Heisenberg spin chains with next nearest neighbor interactions in coupled cavities
• Statics and Dynamics of Quantum XY and Heisenberg Systems on Graphs
• Time optimal information transfer in spintronics networks
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Cited by in corpus (7)

• Design of Feedback Control Laws for Information Transfer in Spintronics Networks
• Robust Control Performance for Open Quantum Systems
• Jonckheere-Terpstra test for nonclassical error versus log-sensitivity relationship of quantum spin network controllers
• Statistically Characterising Robustness and Fidelity of Quantum Controls and Quantum Control Algorithms
• Robustness of energy landscape control for spin networks under decoherence
• Sensitivity and Robustness of Quantum Spin-1/2 Rings to Parameter Uncertainty
• Geometric Interpretation of Sensitivity to Structured Uncertainties in Spintronic Networks