Fast population transfer with a superconducting qutrit via non-Hermitian shortcut to adiabaticity

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 aΛ-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.

Lie transformation on shortcut to adiabaticity in parametric driving quantum systems

Shortcut to adiabaticity(STA) is a speedway to produce the same final state that would result in an adiabatic, infinitely slow process. Two typical techniques to engineer STA are developed by either introducing auxiliary counterdiabatic fields or finding new Hamiltonians that own dynamical invariants to constraint the system into the adiabatic paths. In this paper,an efficient method is introduced to naturally cover the above two techniques with a unified Lie algebraic framework and neatly remove the design difficulties and loose assumptions in the two techniques. A general STA scheme for different potential expansions concisely achieves with the aid of squeezing transformations.

Invariants-based shortcuts for fast generating Greenberger-Horne-Zeilinger state among three superconducting qubits

As one of the most promising candidates for implementing quantum computers, superconducting qubits（SQs） are adopted for fast generating the Greenberger–Horne–Zeilinger（GHZ） state by using invariants-based shortcuts. Three SQs are separated and connected by two coplanar waveguide resonators（CPWRs） capacitively. The complicated system is skillfully simplified to a three-state system, and a GHZ state among three SQs is fast generated with a very high fidelity and simple driving pulses. Numerical simulations indicate the scheme is insensitive to parameter deviations. Besides, the robustness of the scheme against decoherence is discussed in detail.

Fast generating W state of three superconducting qubits via Lewis–Riesenfeld invariants

We propose a scheme for a fast generating three-qubit W state in a superconducting system by using a technique of shortcuts to adiabaticity, Lewis–Riesenfeld invariants. Three identical superconducting qubits（SQs） are connected by two coplanar waveguide resonators（CPWRs） capacitively. Under a certain limit condition, we convert the complicated SQ system into a simple three-state system. By designing experimentally accessible harmonic pulses, a three-SQ W state is implemented with quite short operation time and high fidelity. Numerical simulations prove that the scheme is robust against the parameter deviation. In addition, we also give detailed discussion about the scheme robustness against decoherence.

Shortcut-based quantum gates on superconducting qubits in circuit QED

Construction of optimal gate operations is significant for quantum computation.Here an efficient scheme is proposed for performing shortcut-based quantum gates on superconducting qubits in circuit quantum electrodynamics(QED).Two four-level artificial atoms of Cooper-pair box circuits,having sufficient level anharmonicity,are placed in a common quantized field of circuit QED and are driven by individual classical microwaves.Without the effect of cross resonance,one-qubit NOT gate and phase gate in a decoupled atom can be implemented using the invariant-based shortcuts to adiabaticity.With the assistance of cavity bus,a one-step SWAP gate can be obtained within a composite qubit-photon-qubit system by inversely engineering the classical drivings.We further consider the gate realizations by adjusting the microwave fields.With the accessible decoherence rates,the shortcut-based gates have high fidelities.The present strategy could offer a promising route towards fast and robust quantum computation with superconducting circuits experimentally.

基于非厄密绝热捷径的快速量子态操控研究

为了更快地对量子态进行可靠的操控,对基于动力学的非厄密体系的“绝热捷径”技术进行了分析和研究.根据数值模拟计算结果,当体系的哈密顿量按照不同的增益率和损耗率连续进行演化时,可以实现量子态的快速操控.该方法不仅具有设计灵活、可靠的特点,同时还具有能耗较低的优点.因此这种方法在理论和实验实现方面都具有潜在的优势.对此方法的进一步推广和应用将为更快操控量子态提供有效的帮助.

Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity

High-fidelity quantum gates are essential for large-scale quantum computation.However,any quantum manipulation will inevitably affected by noises,systematic errors and decoherence effects,which lead to infidelity of a target quantum task.Therefore,implementing high-fidelity,robust and fast quantum gates is highly desired.Here,we propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum computation based on resonant interaction of three-level quantum systems via shortcuts to adiabaticity.In our proposal,the target Hamiltonian to induce noncyclic non-Abelian geometric phases can be inversely engineered with less evolution time and demanding experimentally,leading to high-fidelity quantum gates in a simple setup.Besides,our scheme is readily realizable in physical system currently pursued for implementation of quantum computation.Therefore,our proposal represents a promising way towards fault-tolerant geometric quantum computation.

Highly efficient charging and discharging of three-level quantum batteries through shortcuts to adiabaticity

Quantum batteries are energy storage devices that satisfy quantum mechanical principles.How to improve the battery’s performance such as stored energy and power is a crucial element in the quantum battery.Here,we investigate the charging and discharging dynamics of a three-level counterdiabatic stimulated Raman adiabatic passage quantum battery via shortcuts to adiabaticity,which can compensate for undesired transitions to realize a fast adiabatic evolution through the application of an additional control field to an initial Hamiltonian.The scheme can significantly speed up the charging and discharging processes of a three-level quantum battery and obtain more stored energy and higher power compared with the original stimulated Raman adiabatic passage.We explore the effect of both the amplitude and the delay time of driving fields on the performances of the quantum battery.Possible experimental implementation in superconducting circuit and nitrogen–vacancy center is also discussed.

强磁场中氢分子离子H_2^+反键态能级的绝热变分计算

采用绝热变分近似方法 ,计算了均匀强磁场 (0 .5≤β≤ 10 0 0 )中H+2 的Δu,Φg,Γu,Hg 态 (无外磁场或外磁场较弱时为反键态 )的能级及原子核间的平衡距离 ,并与前人的结果进行了比较。

基于里德伯超级原子快速制备三粒子单重态

量子纠缠是量子信息处理和量子计算的基本资源,简单而高效地制备纠缠态始终是学者们研究的热点问题之一.作为量子信息编码理想载体之一的中性里德伯原子,以其独特的优势在纠缠态制备领域占有一席之地.本文将四能级倒“Y”型结构的里德伯原子系综放置于里德伯阻塞球内部使之形成超级原子,在弱腔场近似下将量子信息编码在超级原子的有效能级上,结合量子Zeno动力学和绝热捷径的方法,简单有效地制备了三粒子单重态.此外,本方案考虑了退相干因素(包括腔的衰减和超级原子的自发辐射)对单重态保真度的影响.数值模拟结果表明,本方案不需要对系统演化时间进行精确的控制就可以得到很高的保真度,并且单重态的保真度对退相干因素是比较鲁棒的.

基于量子绝热捷径技术的光波导分束器设计

用于加快量子绝热"慢"过程的量子绝热捷径技术,已广泛应用于原子、分子和光物理.基于耦合波导的量子光学类比,利用量子绝热捷径技术设计光学波导的耦合系数与传播常数,实现快速的光波导分束器件.通过数值模拟,并与共振耦合和绝热耦合波导进行比较.结果表明,量子绝热捷径技术所设计的光学波导分束器具有长度短、输出稳定性高的优势.

量子绝热捷径技术在三波导耦合器设计中的应用

通过将量子无摩擦动力学与绝热消除结合实现了量子绝热捷径技术在光波导耦合器中的设计.为了使该方案更实际可行,引入了幺正变换,以便对波导的宽度以及相邻波导之间的间距进行设计,并利用光束传播法对三波导耦合器进行模拟验证.模拟结果表明,相比于绝热耦合,利用绝热捷径设计的耦合器可以在传输长度缩短4倍的情况下实现能量的有效耦合.该方案可适用于量子信息处理和集成光学领域.

耦合谐振子的量子绝热捷径设计

量子绝热捷径技术旨在加快量子绝热慢过程,已经被广泛用于原子的冷却、转移等量子信息处理过程.研究耦合谐振子模型的量子绝热捷径设计及其热机应用,基于耦合谐振子模型的量子不变量,首先得到Ermakov方程,然后反设计耦合谐振子频率,最终加快绝热过程而不产生末态激发.本工作为耦合谐振子的量子态操控及超绝热量子热机提供了新思路.

半导体量子点中电子态的绝热捷径控制

量子态的精确制备和相干控制是量子信息处理和固态量子计算中的重要任务.近年来,量子绝热捷径技术已经被广泛用于原子的冷却、转移等量子信息处理过程,旨在加快绝热慢过程,提高量子态制备和传输的保真度.介绍了量子绝热捷径技术中不变量反控制法、量子无摩擦动力学等不同方案在半导体量子点中电子态快速且高保真的控制应用,并分析了各类方法以及环境退相干等系统因素对量子态操控的影响.

基于绝热捷径快速实现远距离的四维纠缠态的制备

作为量子信息处理的载体,量子纠缠态一直以来都是量子信息领域的研究热点.相比于低维纠缠态,高维纠缠态使得量子通信具有更快的传输速度、更强的安全性、更高的噪声容忍阈值等特点.另外,绝热技术因其对实验参数起伏不敏感而被广泛应用于纠缠态的制备,然而绝热过程需要相当长的演化时间,因此绝热捷径应运而生.本文提出了一种采用无跃迁量子驱动构建绝热捷径实现快速制备两个原子的四维纠缠态的理论方案,该系统中的两个原子分别被囚禁在两个由光纤连接的双模腔中.为了获得一个技术上可操作的物理系统,本方案采用能级失谐设计出一个可精确驱动系统沿着某一个系统的瞬时本征态演化的哈密顿.该方案所采用的无跃迁量子驱动构建绝热捷径不仅大大缩短了演化时间,而且在实验上也比较容易实现.本文还数值模拟了消相干因素对四维纠缠态保真度的影响,结果表明,只要脉冲参数选取在一定范围内,光纤耗散、腔场耗散和原子自发辐射等不利因素都会被大大抑制.

Fast and high-fidelity generation of photonic Greenberger-Horne-Zeilinger states in circuit QED

A fast scheme to generate Greenberger-Horne-Zeilinger states between different cavities in circuit QED systems is proposed.To implement this scheme,we design a feasible experimental device with three qubits and three cavities.In this device,all the couplings between qubit and qubit,cavity and qubit are tunable and are independent with frequencies,and thus the shortcut to adiabaticity technique can be directly applied in our scheme.It is demonstrated that the GHZ state can be generated rapidly with high fidelity in our scheme.

非局域非线性介质中孤子的绝热捷径压缩

近年来,量子绝热捷径(shortcut to adiabaticity,STA)技术被用以加速缓慢的绝热过程.基于光学类比方法,采用结合变分法和绝热捷径技术的反控制方法研究非局域非线性介质中孤子的快速压缩,并与绝热压缩技术进行了对比.研究结果表明,非局域对于非线性具有抑制作用,非局域度越大,绝热压缩技术需要的传播距离越长,使得在非局域介质中用绝热方法压缩孤子变得比较困难,而绝热捷径技术却依然可以在短距离内有效压缩孤子,优势明显.

非厄米非旋波量子系统

根据绝热捷径技术设计一种添加非厄米反向透热Hamilton量的方法,并研究非旋波近似下的两能级量子系统.结果表明:该Hamilton量具有非平衡的增益耗散项,可实现布居数完全转移;该方法对参数具有较强的鲁棒性;增大不平衡的增益耗散比率可大幅度缩短演化时间.

硅基集成光子器件先进设计方法

硅基集成光子器件具有体积小、集成度高的突出优势,在光通信、数据中心光互连等领域具有广阔应用前景。然而,硅基波导耦合器件尺寸相对较大、工作带宽和工艺容差受限。硅基多模路由光子器件设计还面临挑战。文章介绍了近年来发展起来的两种硅基集成光子器件先进设计方法:绝热捷径法和变换光学方法,简要阐述其物理原理,并展示在硅基集成光子器件设计中的典型应用。

Simulating a topological transition in a superconducting phase qubit by fast adiabatic trajectories

The significance of topological phases has been widely recognized in the community of condensed matter physics. The well controllable quantum systems provide an artificial platform to probe and engineer various topological phases. The adiabatic trajectory of a quantum state describes the change of the bulk Bloch eigenstates with the momentum, and this adiabatic simulation method is however practically limited due to quantum dissipation. Here we apply the "shortcut to adiabaticity"(STA) protocol to realize fast adiabatic evolutions in the system of a superconducting phase qubit. The resulting fast adiabatic trajectories illustrate the change of the bulk Bloch eigenstates in the Su-Schrieffer-Heeger(SSH) model. A sharp transition is experimentally determined for the topological invariant of a winding number. Our experiment helps identify the topological Chern number of a two-dimensional toy model, suggesting the applicability of the fast adiabatic simulation method for topological systems.