Optimal control of circuit quantum electrodynamics in one and two dimensions

Abstract

Optimal control can be used to significantly improve multi-qubit gates in quantum information processing hardware architectures based on superconducting circuit quantum electrodynamics. We apply this approach not only to dispersive gates of two qubits inside a cavity, but, more generally, to architectures based on two-dimensional arrays of cavities and qubits. For high-fidelity gate operations, simultaneous evolutions of controls and couplings in the two coupling dimensions of cavity grids are shown to be significantly faster than conventional sequential implementations. Even under experimentally realistic conditions speedups by a factor of three can be gained. The methods immediately scale to large grids and indirect gates between arbitrary pairs of qubits on the grid. They are anticipated to be paradigmatic for 2D arrays and lattices of controllable qubits.

Published version.

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• Gradient Ascent Pulse Engineering with Feedback
• Engineering two-mode entangled states between two superconducting resonators by dissipation
• Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain
• Protocol for high fidelity readout in the photon blockade regime of circuit QED
• Optimal control of an inhomogeneous spin ensemble coupled to a cavity
• Enhancing quantum control by improving shape pulse generation
• Quantum control with spectral constraints
• Various methods of optimizing control pulses for quantum systems with decoherence
• Entanglement engineering of optomechanical systems by reinforcement learning
• Analyzing the Toffoli gate in disordered circuit QED