Optimal superadiabatic population transfer and gates by dynamical phase corrections

Abstract

In many quantum technologies adiabatic processes are used for coherent quantum state operations, offering inherent robustness to errors in the control parameters. The main limitation is the long operation time resulting from the requirement of adiabaticity. The superadiabatic method allows for faster operation, by applying counterdiabatic driving that corrects for excitations resulting from the violation of the adiabatic condition. In this article we show how to construct the counterdiabatic Hamiltonian in a system with forbidden transitions by using two-photon processes and how to correct for the resulting time-dependent ac-Stark shifts in order to enable population transfer with unit fidelity. We further demonstrate that superadiabatic stimulated Raman passage can realize a robust unitary NOT-gate between the ground state and the second excited state of a three-level system. The results can be readily applied to a three-level transmon with the ladder energy level structure.

26 pages, 7 figures

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• Superadiabatic population transfer in a three-level superconducting circuit
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• Remote entanglement via adiabatic passage using a tunably-dissipative quantum communication system
• Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
• Application of adiabatic passage in Rydberg atomic ensembles for quantum information processing
• Accelerating adiabatic protocols for entangling two qubits in circuit QED
• Simulating spin chains using a superconducting circuit: gauge invariance, superadiabatic transport, and broken time-reversal symmetry
• Accelerating geometric quantum gates through non-cyclic evolution and shortcut to adiabaticity
• Unselective ground-state blockade of Rydberg atoms for implementing quantum gates
• Adiabatic landscape and optimal paths in ergodic systems
• Majorana representation of adiabatic and superadiabatic processes in three-level systems
• Quantum control by effective counterdiabatic driving
• Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Quantum process tomography of adiabatic and superadiabatic stimulated Raman passage