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Physical Review A

Nonleaky and accelerated population transfer in a transmon qutrit

Xiao-Jing Lu, M. Li, Zhongan Zhao, Chunli Zhang, Hongpei Han, Zhi‐Bo Feng, Yun-Qing Zhou

Published Aug 21, 2017• 37 citations
Publisher

Abstract

We propose a theoretical scheme for implementing nonleaky and accelerated population transfer with a transmon qutrit. For a transmon-regime artificial atom with weak level anharmonicity, the leakage effects on the target population transfer are considerable. Allowed by the level-transition rule, a two-photon resonant interaction can be obtained between the qutrit and microwave drivings. In the regime of large detuning, by adopting the technique of invariant-based inverse engineering, the population transfer with no leakage errors can be sped up drastically when compared with the adiabatic operation. Moreover, the accelerated operation is highly robust against decoherence effects. Thanks to these distinctive advantages, the proposed protocol could offer a promising avenue to optimal quantum operations on transmon artificial atoms.

DOI
10.1103/physreva.96.023843

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Abstract We propose a theoretical scheme to implement non-leaky population transfer in a transmon-regime artificial atom. Due to the weak level anharmonicity of the transmon system, resonant driving leads to considerable quantum leakage. Facilitated by the level-transition rule, we develop a Λ-type interaction between the first three levels and the driving fields. Under two-photon resonance with large detuning, a reduced two-level system is obtained, with which we perform non-leaky population transfer by adjusting the microwave driving. With the accessible parameters, we further analyse the flexible reversibility and high robustness of the protocol. The present scheme provides a potential approach to optimizing population transfer with transmon artificial atoms.
We propose an effective scheme to implement fast and robust population transfer with a Josephson qutrit via shortcut to adiabaticity. Facilitated by the level-transition rule, a Λ-configuration resonant interaction can be realized between microwave drivings and the qutrit with sufficient level anharmonicity, from which we perform the reversible population transfers via invariant-based shortcut. Compared with the detuned drivings, the utilized resonant drivings shorten the transfer times significantly. Further analysis of the dependence of transfer time on Rabi couplings is helpful to experimental investigations. Thanks to the accelerated process, transfer operation is highly insensitive to noise effects. Thus the protocol could provide a promising avenue to experimentally perform fast and robust quantum operations on Josephson artificial atoms.
We develop an effective scheme for implementing error-insensitive population transfer in a three-level system (qutrit) by invariant-based shortcuts with optimized drivings. Based on the method of inverse engineering, target population transfers can be performed in a shortcut manner. Taking into account the deviation errors and then optimizing the coherent drivings, we can improve the target population transfers to be insensitive to deviations of frequency detuning or Rabi coupling. Particularly, with an appropriate choice of coherent drivings, our scheme could be insensitive to these two kinds of errors simultaneously. As one of the potential applications, our scheme may remove the control errors of quantum operations on superconducting artificial atoms. By combining shortcuts to adiabaticity with optimal control, the protocol could offer a promising avenue to explore fast and robust quantum information processing experimentally.
We propose a theoretical scheme to speed up adiabatic population transfer in a Josephson artificial qutrit by transitionless quantum driving. At a magic working point, an effective three-level subsystem can be chosen to constitute our qutrit. With Stokes and pump driving, adiabatic population transfer can be achieved in the qutrit by means of stimulated Raman adiabatic passage. Assisted by a counter-diabatic driving, the adiabatic population transfer can be sped up drastically with accessible parameters. Moreover, the accelerated operation is flexibly reversible and highly robust against decoherence effects. Thanks to these distinctive advantages, the present protocol could offer a promising avenue for optimal coherent operations in Josephson quantum circuits.
Optimal control of quantum system is significant for information science and technology. Here, an efficient scheme is proposed for implementing fast population transfer in a spin qutrit of nitrogen-vacancy center via shortcuts to adiabaticity (STA) with simplified drivings. At two-photon resonance, a Λ\Lambda Λ -configuration interaction between the spin qutrit and driving fields can be obtained effectively. By the invariant-based STA, the reversible population transfer can be realized using the Rabi pulses with sine and cosine waveforms. Compared with the superadiabatic transitionless driving, the present pulses in our strategy become simplified technically, contributing to reduce the error effect of control parameter deviations. Moreover, the high-fidelity quantum operations can be performed with the accessible decoherence rates. The protocol could offer an optimized avenue towards the STA-based quantum control of spin qutrit experimentally.
Non-Hermitian dissipation dynamics, capable of turning the conventionally detrimental decoherence effects to useful resources for state engineering, is highly attractive to quantum information processing. In this work, an effective scheme is developed for implementing fast population transfer with a superconducting qutrit via the non-Hermitian shortcut to adiabaticity (STA). We first deal with a Λ-configuration interaction between the qutrit and microwave drivings, in which the dephasing-assisted qubit state inversion requiring an overlarge dephasing rate is constructed non-adiabatically. After introducing a feasible ancillary driving that directly acts upon the qubit states, the target state transfer can be well realized but with an accessible qubit dephasing rate. Moreover, a high fidelity could be numerically obtained in the considered system. The strategy could provide a new route towards the non-Hermitian shortcut operations on superconducting quantum circuits.