Cooperative pulses in robust quantum control: Application to broadband Ramsey-type pulse sequence elements
arXiv:1404.4943 · doi:10.1088/1367-2630/16/11/115002
Abstract
A general approach is introduced for the efficient simultaneous optimization of pulses that compensate each other' s imperfections within the same scan. This is applied to broadband Ramsey-type experiments, resulting in pulses with significantly shorter duration compared to individually optimized broadband pulses. The advantage of the cooperative pulse approach is demonstrated experimentally for the case of two-dimensional nuclear Overhauser enhancement spectroscopy. In addition to the general approach, a symmetry-adapted analysis of the optimization of Ramsey sequences is presented. Furthermore, the numerical results led to the disovery of a powerful class of pulses with a special symmetry property, which results in excellent performance in Ramsey-type experiments. A significantly different scaling of pulse sequence performance as a function of pulse duration is found for characteristic pulse families, which is explained in terms of the different numbers of available degrees of freedom in the offset dependence of the associated Euler angles.
arXiv comment45 pages, 16 figures
References in corpus (32)
- Second order gradient ascent pulse engineering
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
- Optimal control of a qubit coupled to a non-Markovian environment
- Liquid State NMR as a Test-bed for Developing Quantum Control Methods
- Optimal Control of Spin Dynamics in the Presence of Relaxation
- Optimal Control for Generating Quantum Gates in Open Dissipative Systems
- Optimal control methods for fast time-varying Hamiltonians
- Noise-resistant control for a spin qubit array
- Robust quantum gates for singlet-triplet spin qubits using composite pulses
- Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles
- Robust Control of Quantum Information
- High fidelity one-qubit operations under random telegraph noise
- Application of Optimal Control to CPMG Refocusing Pulse Design
- Automated Synthesis of Dynamically Corrected Quantum Gates
- Optimization of Short Coherent Control Pulses
- Bandwidth-Limited Control and Ringdown Suppression in High-Q Resonators
- Suppression of 1/f noise in one-qubit systems
- Optimized pulses for the control of uncertain qubits
- Equivalent qubit dynamics under classical and quantum noise
- Soft-Pulse Dynamical Decoupling with Markovian Decoherence
- Design and application of robust rf pulses for toroid cavity NMR spectroscopy
- Generalization of short coherent control pulses: extension to arbitrary rotations
- Searching for New Physics Through AMO Precision Measurements
- Quantum control with noisy fields: computational complexity vs. sensitivity to noise
- Second-order shaped pulses for solid-state quantum computation
- Broadband Excitation by Chirped Pulses: Application to Single Electron Spins in Diamond
- Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
- Frequency modulated pulses for quantum bits coupled to time-dependent baths
- Foundations for Cooperating with Control Noise in the Manipulation of Quantum Dynamics
- Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
- Optimal generation of single-qubit operation from an always-on interaction by algebraic decoupling
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- Generalized Hyper-Ramsey Resonance with separated oscillating fields
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- Bringing Quantum Systems under Control: A Tutorial Invitation to Quantum Computing and Its Relation to Bilinear Control Systems
- Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach
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