Gradient-based closed-loop quantum optimal control in a solid-state two-qubit system
arXiv:1805.11674 · doi:10.1103/PhysRevA.98.052341
Abstract
Quantum optimal control can play a crucial role to realize a set of universal quantum logic gates with error rates below the threshold required for fault-tolerance. Open-loop quantum optimal control relies on accurate modeling of the quantum system under control, and does not scale efficiently with system size. These problems can be avoided in closed-loop quantum optimal control, which utilizes feedback from the system to improve control fidelity. In this paper, two gradient-based closed-loop quantum optimal control algorithms, the hybrid quantum-classical approach (HQCA) described in [Phys. Rev. Lett. 118, 150503 (2017)] and the finite-difference (FD) method, are experimentally investigated and compared to the open-loop quantum optimal control utilizing the gradient ascent method. We employ a solid-state ensemble of coupled electron-nuclear spins serving as a two-qubit system. Specific single-qubit and two-qubit state preparation gates are optimized using the closed-loop and open-loop methods. The experimental results demonstrate the implemented closed-loop quantum control outperforms the open-loop control in our system. Furthermore, simulations reveal that HQCA is more robust than the FD method to gradient noise which originates from measurement noise in this experimental setting. On the other hand, the FD method is more robust to control field distortions coming from non-ideal hardware
References in corpus (22)
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Quantum algorithms: an overview
- An addressable quantum dot qubit with fault-tolerant control fidelity
- Control of quantum phenomena: Past, present, and future
- Training Schrödinger's cat: quantum optimal control
- Hybrid Quantum-Classical Approach to Quantum Optimal Control
- Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
- Optimal quantum control using randomized benchmarking
- Gradient optimization of analytic controls: the route to high accuracy quantum optimal control
- Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
- Adaptive hybrid optimal quantum control for imprecisely characterized systems
- Universal Control of Nuclear Spins Via Anisotropic Hyperfine Interactions
- Improving quantum gate fidelities by using a qubit to measure microwave pulse distortions
- Restless Tuneup of High-Fidelity Qubit Gates
- Coherent control of two nuclear spins using the anisotropic hyperfine interaction
- A Data-Driven Gradient Algorithm for High-Precision Quantum Control
- Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
- Estimating the coherence of noise in quantum control of a solid-state qubit
- Robust and efficient in situ quantum control
- Hyperfine spin qubits in irradiated malonic acid: heat-bath algorithmic cooling
- Feedback control optimisation of ESR experiments
- Randomized benchmarking of quantum gates implemented by electron spin resonance
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