Sonia G Schirmer
We describe different strategies for using a semi-classical controller to engineer quantum Hamiltonians to solve control problems such as quantum state or process engineering or optimization of observables.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
继续探索
Engineering Higher-order Effective Hamiltonians
本文提出了一种系统方法，通过工程高阶过程和有效哈密顿量实现量子控制的精度、稳健性和复杂性，并展示了解耦、三体相互作用和调频/相互作用相关性的稳健序列示例。
Engineering Precise and Robust Effective Hamiltonians
本文提出一种通用框架，用于构建高效且鲁棒的有效哈密顿量，通过最小化高阶贡献和增强系统误差鲁棒性，实现量子控制策略的精确和高效。
We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations than slow, adiabatic ones. As application examples we design families of shortcut Hamiltonians that drive two and a three-level systems between initial and final configurations imposing physically motivated constraints on the terms (generators) allowed in the Hamiltonian.
In the field of quantum control, effective Hamiltonian engineering is a powerful tool that utilises perturbation theory to mitigate or enhance the effect that a variation in the Hamiltonian has on the evolution of the system. Here, we provide a general framework for computing arbitrary time-dependent perturbation theory terms, as well as their gradients with respect to control variations, enabling the use of gradient methods for optimizing these terms. In particular, we show that effective Hamiltonian engineering is an instance of a bilinear control problem - the same general problem class as …
In this paper we discuss how we can design Hamiltonians to implement quantum algorithms, in particular we focus in Deutsch and Grover algorithms. As main result of this paper, we show how Hamiltonian inverse quantum engineering method allow us to obtain feasible and time-independent Hamiltonians for implementing such algorithms. From our approach for the Deutsch algorithm, different from others techniques, we can provide an alternative approach for implementing such algorithm where no auxiliary qubit and additional resources are required. In addition, by using a single quantum evolution, the G…
Cavity resonators are promising resources for quantum technology, while native nonlinear interactions for cavities are typically too weak to provide the level of quantum control required to deliver complex targeted operations. Here we investigate a scheme to engineer a target Hamiltonian for photonic cavities using ancilla qubits. By off-resonantly driving dispersively coupled ancilla qubits, we develop an optimized approach to engineering an arbitrary photon-number-dependent (PND) Hamiltonian for the cavities while minimizing the operation errors. The engineered Hamiltonian admits various app…
We propose a method for Hamiltonian engineering in quantum information processing architectures that requires no local control, but only relies on collective qubit rotations and field gradients. The technique achieves a spatial modulation of the coupling strengths via a dynamical construction of a weighting function combined with a Bragg grating. As an example, we demonstrate how to generate the ideal Hamiltonian for perfect quantum information transport between two separated nodes of a large spin network. We engineer a spin chain with optimal couplings from a large spin network, such as natur…
Variational quantum Hamiltonian engineering
本文提出变分量子哈密顿量工程（VQHE）算法，通过将泡利范数优化编码为L1范数最小化问题并利用参数化量子电路最小化代价函数，从而降低期望值估计和哈密顿量模拟的开销。
We discuss applications of shortcuts to adiabaticity (STA) to adiabatic quantum computation. After reviewing the fundamental properties and the present status of STA from the author's personal point of view, we apply the method to the adiabatic algorithm of the Grover's problem. We discuss two possible implementations of STA for the adiabatic quantum computations: the method of quantum adiabatic brachistochrone and the Lewis-Riesenfeld invariant-based inverse engineering.
I introduce an energy constrained approximate twirling operation that can be used to diagonalize effective logical channels in GKP quantum error correction, project states into the GKP code space and construct a dynamical decoupling sequence with fast displacements pulses to distill the GKP stabilizer Hamiltonians from a suitable substrate-Hamiltonian. The latter is given by an LC-oscillator comprising a superinductance in parallel to a Josephson Junction. This platform in principle allows for protected GKP quantum computing without explicit stabilizer measurements or state-reset by dynamicall…
We generalize the quantum adiabatic theorem to the non-Hermitian system and build a rigorous adiabaticity condition with respect to the adiabatic phase. The non-Hermitian Hamiltonian inverse engineering method is proposed for the purpose to adiabatically drive a artificial quantum state. For the sake of clearness, we take a concrete two-level system as an example to show the usefulness of the inverse engineering method. The numerical simulation result shows that our scheme can work well even under noise if the parameters are chosen appropriately. We can obtain the desired target state by adjus…
Controlling the interaction graph between spins or qubits in a quantum simulator allows user-controlled tailoring of native interactions to achieve a target Hamiltonian. The flexibility of engineering long-ranged phonon-mediated spin-spin interactions in a trapped ion quantum simulator offers such a possibility. Trapped ions, a leading candidate for simulating computationally hard quantum many-body dynamics, are most readily trapped in a linear 1D chain, limiting their utility for readily simulating higher dimensional spin models. In this work, we introduce a hybrid method of analog-digital si…
General, efficient, and robust Hamiltonian engineering
本研究提出了一种高效且鲁棒的哈密顿量工程方案，通过单量子比特脉冲和线性规划实现任意本地多体哈密顿量的精确工程，并在小系统中实现了超过99.9%的保真度。
Degree-Guided Adiabatic Quantum Algorithm for MIS with Neutral Atoms
本文提出了一种混合自适应算法，利用Rydberg原子阵列求解最大独立集问题，通过设计局部控制来优先激发邻居较少的原子，从而提高求解效率和成功率。
We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum driving (TQD) [31], the present scheme is focus on only one or parts of moving states in a D-dimension (D > 3) system. The numerical simulation shows that the present scheme not only contains the results of TQD, but also has more free parameters, which make this scheme more flexible. An example is given by using this scheme to realize the population transfe…
Inverse engineering of Hamiltonian (IEH) from an evolution operator is a useful technique for protocol of quantum control with potential applications in quantum information processing. In this paper we introduce a particular protocol to perform IEH and we show how this scheme can be used for implementing a set of quantum gates by using minimal quantum resources (such as entanglement, interactions between more than two quits or auxiliary quits). Remarkably, while previous protocols request three-quits interactions and/or auxiliary quits for implementing such gates, our protocol requires just tw…
Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltonian engineering to control the system dynamics, but some systems are not separable into independent modes by a point transformation. For these "coupled systems" 2D invariants may still guide the Hamiltonian design. The theory to perform the inversion and two application examples are provided: (i) We control the deflection of wave packets in transversally harmonic waveguides; and (ii) we design the state transfer from …
While quantum devices rely on interactions between constituent subsystems and with their environment to operate, native interactions alone often fail to deliver targeted performance. Coherent pulsed control provides the ability to tailor effective interactions, known as Hamiltonian engineering. We propose a Hamiltonian engineering method that maximizes desired interactions while mitigating deleterious ones by conducting a pulse sequence search using constrained optimization. The optimization formulation incorporates pulse sequence length and cardinality penalties consistent with linear or inte…
In this paper, we propose a concept to use a quantum speed limit (QSL) as a measure of robustness of states, defining that a state with bigger QSL is more robust. In this perspective, it is important to have an explicitly-computable QSL, because then we can formulate an engineering problem of Hamiltonian that makes a target state robust against decoherence. Hence we derive a new explicitly-computable QSL that is applicable to general Markovian open quantum systems. This QSL is tighter than another explicitly-computable QSL, in an important setup such that decoherence is small. Also the Hamilto…
A Dynamical Lie-Algebraic Framework for Hamiltonian Engineering and Quantum Control
本文提出一种基于动力学李代数的框架，用于工程哈密顿量驱动的量子动力学，通过构造高效哈密顿量结构、保持可控性以及限制量子动力学到目标子代数，实现资源高效且表达性强的幺正演化。
Controlling interactions is the key element for quantum engineering of many-body systems. Using time-periodic driving, a naturally given many-body Hamiltonian of a closed quantum system can be transformed into an effective target Hamiltonian exhibiting vastly different dynamics. We demonstrate such Floquet engineering with a system of spins represented by Rydberg states in an ultracold atomic gas. Applying a sequence of spin manipulations, we change the symmetry properties of the effective Heisenberg XYZ Hamiltonian. As a consequence, the relaxation behavior of the total spin is drastically mo…
Dressed-state Hamiltonian engineering in a strongly interacting solid-state spin ensemble
本研究通过在强相互作用固态自旋集体中设计dressed-state霍金方程，实现了自旋相互作用的直接调节，提升了相干参数和磁强计灵敏度。
Quantum simulation presents itself as one of the biggest advantages of developing quantum computers. Simulating a quantum system classically is almost impossible beyond a certain system size whereas a controllable quantum system inherently has the resources and computing space to simulate another system. Analog quantum simulation is one of the ways of quantum simulation through which a known system mimics an unknown system. A key aspect of this is the ability to generate the target Hamiltonian using control operations which is referred to as Hamiltonian engineering. One way of doing this is to…
Hamiltonian Learning and Certification via Eigenphase Engineering
提出本征相位工程技术，在大步长下实现哈密顿量学习的海森堡极限精度，匹配最优标度并强化下界，支持认证与单系数估计。
We propose a scheme for inverse engineering control in open quantum systems. Starting from an undetermined time evolution operator, a time-dependent Hamiltonian is derived in order to guide the system to attain an arbitrary target state at a predefined time. We analyze the fidelity of our control protocol under noise with respect to the stochastic fluctuation of the linear parameters of the Hamiltonian during the time evolution. For a special family of Hamiltonians for two-level systems, we show that the control evolution of the system under noise can be categorized into two standard decoherin…
Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design
本文提出一个系统处理Floquet-Magnus展开高阶贡献的哈密顿量工程脉冲序列设计框架，导出简单解耦规则，并展示其在动力学解耦、量子传感与量子模拟等任务中的高效应用。
Higher-order protection of quantum gates: Hamiltonian engineering coordinated with dynamical decoupling
针对动力学解耦操作干扰系统演化导致量子门保护难于量子态的问题，提出协同高阶动力学解耦序列进行门哈密顿量工程的通用方法，首次在IBM云端量子处理器实现一二阶保护演示，验证了其在NISQ计算机上的有效性。
Synthesizing Arbitrary Non-Hermitian Hamiltonian with Stochastic Floquet Engineering
提出随机Floquet工程方案，通过含噪声振幅的时间周期驱动场合成任意非厄米目标哈密顿量，利用噪声作为量子资源，无需增益或损耗，应用于腔哈密顿量工程和量子态制备。
Robust Hamiltonian Engineering for Interacting Qudit Systems
本文提出一种用于强相互作用qudit系统的鲁棒动力学解耦与哈密顿量工程几何形式体系，简化了脉冲序列设计，并在自旋1氮-空位中心系综实验中实现相干时间超一个数量级提升，为多体物理和量子计量学提供了新方法。
Generalized pulse design in Floquet engineering: Application to interacting spin systems
本文提出了一种广义脉冲设计方法，用于通过Floquet工程在长程相互作用的XXZ自旋系统中精确构建有效Ising模型。
We present a protocol to selectively decouple, recouple, and engineer effective couplings in mesoscopic dipolar spin networks. In particular, we develop a versatile protocol that relies upon magic angle spinning to perform Hamiltonian engineering. By using global control fields in conjunction with a local actuator, such as a diamond Nitrogen Vacancy center located in the vicinity of a nuclear spin network, both global and local control over the effective couplings can be achieved. We show that the resulting effective Hamiltonian can be well understood within a simple, intuitive geometric pictu…
Counterdiabatic-influenced Floquet-engineering: State preparation, annealing and learning the adiabatic gauge potential
提出CAFFEINE混合技术，通过参数化Floquet哈密顿量并利用数值最优控制实现反绝热驱动，无需显式反绝热项，用于量子态制备与退火，并具备学习反绝热项以探测量子混沌的潜力。
Towards chemical accuracy with shallow quantum circuits: A Clifford-based Hamiltonian engineering approach
本文提出基于Clifford的哈密顿量工程算法CHEM，结合变分量子本征求解器与硬件高效拟设，解决电路深度与精度的权衡，在12量子比特系统中用少于30个双量子比特门实现化学精度。
Engineering desired Hamiltonian in quantum many-body systems is essential for applications such as quantum simulation, computation and sensing. Conventional quantum Hamiltonian engineering sequences are designed using human intuition based on perturbation theory, which may not describe the optimal solution and is unable to accommodate complex experimental imperfections. Here we numerically search for Hamiltonian engineering sequences using deep reinforcement learning (DRL) techniques and experimentally demonstrate that they outperform celebrated sequences on a solid-state nuclear magnetic reso…
Interference-induced state engineering and Hamiltonian control for noisy collective-spin metrology
本文通过干涉框架研究集体自旋1/2集体的非线性动力学，展示了一轴扭曲生成GHZ态和两轴扭曲生成多参数量子计量相关的GHZ叠加态，并分析了在马尔可夫噪声下的计量性能，揭示了多参数量子传感的内在限制。
Engineering nonlinear boson-boson interactions using mediating spin systems
提出一种利用中介自旋系统调控玻色系统间交叉克尔等非线性相互作用的协议，可生成纠缠相干态与N00N态，通过数值模拟验证了玻色寄存器内纠缠与目标哈密顿量预期结果的一致性。
We present a proposal for the realization of entanglement Hamiltonians in one-dimensional critical spin systems with strongly interacting cold atoms. Our approach is based on the notion that the entanglement spectrum of such systems can be realized with a physical Hamiltonian containing a set of position-dependent couplings. We focus on reproducing the universal ratios of the entanglement spectrum for systems in two different geometries: a harmonic trap, which corresponds to a partition embedded in an infinite system, and a linear potential, which reproduces the properties of a half-partition …
Hamiltonian engineering via pulses: beyond group averaging
本文提出一个几何框架，利用理想控制脉冲构造有效哈密顿量族，超越群平均，并应用于动力学解耦及量子比特网络的有效哈密顿量生成。
Spin Hamiltonian engineering in solid-state systems plays a key role in a variety of applications ranging from quantum information processing and quantum simulations to novel studies of many-body physics. By analyzing the irreducible form of a general two-body spin-1/2 Hamiltonian, we identify all interchangeable interaction terms using rotation pulses. Based on this identification, we derive novel pulse sequences, defined by an icosahedral symmetry group, providing the most general achievable manipulation of interaction terms. We demonstrate that, compared to conventional Clifford rotations, …
Fermionic Hamiltonian engineering with local control
提出基于局部费米子幺正序列的哈密顿量工程框架，通过线性规划高效实现复杂隧穿系数，避免Floquet工程的连续能量吸收，并在1088模晶格和相互作用费米-哈伯德链上验证。
Engineering of non-Hermitian interactions in digital qudit quantum simulators
提出在数字qudit量子模拟器中通过混合幺正-投影演化设计非厄米哈密顿量，利用Zeno子空间实现有效非厄米两体相互作用，并通过数值模拟验证。
Engineering cubic quantum nondemolition Hamiltonian with mesoscopic optical parametric interactions
该研究提出一种利用介观光学参量相互作用实现三次量子非破坏哈密顿量的方案，可高效制备非高斯量子态，并具有高探测效率容忍度，有望在近期实验中实现。
Nuclear spins in quantum dots are promising candidates for fast and scalable quantum memory. By utilizing the hyperfine interaction between the central electron and its surrounding nuclei, quantum information can be transferred to the collective state of the nuclei and be stored for a long time. However, nuclear spin fluctuations in a partially polarized nuclear bath deteriorate the quantum memory fidelity. Here we introduce a noise-resistant protocol to realize fast and high-fidelity quantum memory through Hamiltonian engineering. With analytics and numerics, we show that high-fidelity quantu…
Inverse designed Hamiltonians for perfect state transfer and remote entanglement generation, and applications in superconducting qubits
本研究通过逆设计构造噪声鲁棒的穹顶模型哈密顿量，实现完美态传输与远程纠缠生成，并采用级联策略提升可扩展性，适用于超导量子比特实验。
In this letter we analyze an optical Fabry-Pérot resonator as a time-periodic driving of the (2D) optical field repeatedly traversing the resonator, uncovering that resonator twist produces a synthetic magnetic field applied to the light within the resonator, while mirror aberrations produce relativistic dynamics, anharmonic trapping, and spacetime curvature. We develop a Floquet formalism to compute the effective Hamiltonian for the 2D field, generalizing the idea that the intra-cavity optical field corresponds to an ensemble of non-interacting, massive, harmonically trapped particles. This w…
Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
提出基于时间周期驱动的toric-code Hamiltonian量子模拟方案，采用混合连续-数字策略实现非微扰四体相互作用，并设计高保真度制备拓扑有序基态的最优协议，适用于超导量子比特架构。
Hamiltonian engineering with time-ordered evolution for unitary control of electron spins in semiconductor quantum dots
提出一种用于横向量子点电子自旋可扩展量子计算机的酉控制脉冲设计方法，通过同步控制自旋相互作用推导出通用1-和2-量子比特逻辑门的哈密顿量参数脉冲形式，并推广至多量子比特及受限控制场景。
Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
基于Floquet-Magnus展开发展微扰框架，通过添加高阶驱动势抑制误差，实现任意目标哈密顿量的工程化，并应用于多组分猫态简并本征态，支持容错玻色子量子计算。
We introduce a phenomenological theory for many-body control of critical phenomena by engineering causally-induced gaps for quantum Hamiltonian systems. The core mechanisms are controlling information flow within and/or between clusters that are created near a quantum critical point. To this end, we construct inhomogeneous quantum phase transitions via designing spatio-temporal quantum fluctuations. We show how non-equilibrium evolution of disordered quantum systems can create new effective correlation length scales and effective dynamical critical exponents. In particular, we construct a clas…
Trainmon: a framework for reverse engineering potentials in superconducting Qubits
提出 Trainmon 框架，利用并联 Josephson 结支路和类离散余弦变换 Hamiltonian 逆向重构超导量子比特势阱，并在 Quarton、Fluxonium 上验证频率与相干时间。
Quantum Fourier transform (QFT) is a widely used building block for quantum algorithms, whose scalable implementation is challenging in experiments. Here, we propose a protocol of quadratic quantum Fourier transform (QQFT), considering cold atoms confined in an optical lattice. This QQFT is equivalent to QFT in the single-particle subspace, and produces a different unitary operation in the entire Hilbert space. We show this QQFT protocol can be implemented using programmable laser potential with the digital-micromirror-device techniques recently developed in the experiments. The QQFT protocol …
We introduce a simple yet versatile protocol to inverse engineer the time-dependent Hamiltonian in two- and three level systems. In the protocol, by utilizing a universal SU(2) transformation, a given speedup goal can be obtained with large freedom to select the control parameters. As an illustration example, the protocol is applied to perform population transfer between nitrogen-vacancy (NV) centers in diamond. Numerical simulation shows that the speed of the present protocol is fast compared with that of the adiabatic process. Moreover, the protocol is also tolerant to decoherence and experi…
Hamiltonian Engineering of collective XYZ spin models in an optical cavity
本文通过在光学腔中工程化 700 个铷原子的四光子相互作用，实现任意二次全对全耦合与可调无限程 XYZ 模型，并首次在平均场层面实现双轴反扭模型。
Multichromatic Floquet engineering of quantum dissipation
本文研究了慢自由度多色 Floquet 驱动的建模，证明闭合量子系统的时间粗粒化动力学可由包含有效哈密顿量和可调 Lindblad 型耗散/量子增益项的有效主方程描述，并应用于模拟二能级系统双色驱动中的相位噪声与非相干发射/吸收引起的耗散。
Engineering Arbitrary Hamiltonians in Phase Space
本文提出基于非对易傅里叶变换的方法，在周期性驱动振子的Floquet相空间中工程化任意哈密顿量，并给出实空间驱动势的解析表达式，可应用于非经典态生成与玻色量子计算。
We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The atoms are placed in 1D and 2D arrays of optical tweezers, allowing us to study iconic situations in spin physics, such as the implementation of the Heisenberg model in square arrays, and the study of spin transport in 1D. We first benchmark the Hamiltonian engineering for two atoms, and then demonstrate the freezing of the magnetization on an initially magnetized 2D array. Finally, we explore the dynamics of 1D domain wall …
Using quantum systems to efficiently solve quantum chemistry problems is one of the long-sought applications of near-future quantum technologies. In a recent work, ultra-cold fermionic atoms have been proposed for these purposes by showing us how to simulate in an analog way the quantum chemistry Hamiltonian projected in a lattice basis set. Here, we continue exploring this path and go beyond these first results in several ways. First, we numerically benchmark the working conditions of the analog simulator, and find less demanding experimental setups where chemistry-like behaviour in three-dim…
Robust Hamiltonian engineering with subensemble control
本研究提出基于子系综控制的鲁棒哈密顿工程协议，解决了同时设计子系综内外相互作用的计算难题，开发了抗控制缺陷的脉冲序列设计方法，为量子模拟和传感提供实用工具。
We show how to engineer an extensive range of non-linear Hamiltonians for a nano-mechanical resonator. The technique requires only a time dependent drive applied to a Cooper-pair box or second oscillator to which the nano-resonator is coupled. This method allows one to generate a large number of non-classical states, as well as Hamiltonians whose classical counterparts are chaotic.
Utility-Scale Quantum Computation of Ground-State Energy in a 100+ Site Planar Kagome Antiferromagnet via Hamiltonian Engineering
本文在IBM Heron处理器上对103格点Kagome反铁磁体实现基态能量量子计算，通过哈密顿量工程简化VQE拟设，以高保真度纠缠103量子比特，验证了VQE在受挫二维系统中的可扩展性。
扫码添加微信好友，提出您的宝贵建议 👇
💡 备注请填写：网站反馈
发表机构由 AI 从论文文本抽取，如发现错误，欢迎反馈修正建议。