Microwave Engineering of Programmable 
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 Hamiltonians in Arrays of Rydberg Atoms

Scholl, Pascal; Williams, H. J.; Bornet, Guillaume; Wallner, F.; Barredo, Daniel; Lahaye, Thierry; Browaeys, Antoine; Henriet, Loïc; Signoles, Adrien; Hainaut, Clément; Franz, Titus; Geier, Sebastian; Tebben, Annika; Salzinger, Andre; Zürn, Gerhard; Weidemüller, Matthias

doi:10.1103/prxquantum.3.020303

Cited by 67 publications

(11 citation statements)

References 63 publications

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“…Although the Rydberg interactions generally lead to thermalization in many-body systems, it was realized that quantum many-body scars avoided rapid thermalization when preparing the two-dimensional atoms array in the antiferromagnetic initial state [804]. Besides the Ising-like models mentioned above, recent works include observing topological phases in a quantum dimer model and a Su-Schrieffer-Heeger model [805,806], engineering the XXZ spin model using a periodic external microwave field [807], and investigating quantum optimization algorithms for solving the maximum independent set problem [795].…”

Section: (E)mentioning

confidence: 99%

Noisy intermediate-scale quantum computers

Cheng

Deng

et al. 2023

Front. Phys.

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Quantum computers have made extraordinary progress over the past decade, and significant milestones have been achieved along the path of pursuing universal fault-tolerant quantum computers. Quantum advantage, the tipping point heralding the quantum era, has been accomplished along with several waves of breakthroughs. Quantum hardware has become more integrated and architectural compared to its toddler days. The controlling precision of various physical systems is pushed beyond the fault-tolerant threshold. Meanwhile, quantum computation research has established a new norm by embracing industrialization and commercialization. The joint power of governments, private investors, and tech companies has significantly shaped a new vibrant environment that accelerates the development of this field, now at the beginning of the noisy intermediate-scale quantum era. Here, we first discuss the progress achieved in the field of quantum computation by reviewing the most important algorithms and advances in the most promising technical routes, and then summarizing the next-stage challenges. Furthermore, we illustrate our confidence that solid foundations have been built for the fault-tolerant quantum computer and our optimism that the emergence of quantum killer applications essential for human society shall happen in the future.

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Section: (E)mentioning

confidence: 99%

Noisy intermediate-scale quantum computers

Cheng

Deng

et al. 2023

Front. Phys.

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“…This is not the only technique that can be used to simulate the Heisenberg interaction on Rydberg atoms. In recent work, a method of simulating Heisenberg interactions on Rydberg atoms making use of dipole-dipole interactions and an external microwave field was proposed [146]. This approach uses global microwave pulses to rotate the dipole-dipole interaction to generate time evolution approximating an XXZ Heisenberg Hamiltonian, analogous to how one could Trotterize the Heisenberg interaction on a digital quantum computer.…”

Section: A Numerical Examplementioning

confidence: 99%

“…Implementation of adiabatic switching in a quantum simulation requires the ability to prepare the eigenstate of the initial Hamiltonian and simulate time evolution. Schemes for simulating the Heisenberg model's time evolution have been proposed using digital quantum simulation [142,143], hybrid digital-analog simulation [144], periodically driven trapped ions [145], global microwave pulses on Rydberg atoms [146], nuclear spins [147,148], and adding strong single qubit terms to systems described by Ising interactions [149].…”

Section: Introductionmentioning

confidence: 99%

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Ciavarella

Caspar

Illa

et al. 2023

Quantum

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An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.

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“…Each pair oscillates between the fully polarized states |→→ and |←← via the maximally entangled Bell states 1/ √ 2 (|→→ ± |←← ) (see Fig. 3 (a)) [49]. The resulting oscillation of the magnetization (shown in Fig.…”

Section: Effective Integrability By Localized Ensemblesmentioning

confidence: 99%

Observation of universal relaxation dynamics in disordered quantum spin systems

Franz¹,

Geier²,

Hainaut³

et al. 2022

Preprint

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A major goal toward understanding far-from-equilibrium dynamics of quantum many-body systems consists in finding indications of universality in the sense that the dynamics no longer depends on microscopic details of the system. We realize a large range of many-body spin systems on a Rydberg atom quantum simulator by choosing appropriate Rydberg state combinations. We use this platform to compare the magnetization relaxation dynamics of disordered Heisenberg XX-, XXZand Ising Hamiltonians in a scalable fashion. After appropriate rescaling of evolution time, the dynamics collapse onto a single curve. We find that the observed universal behavior is captured by theoretical models that only consider local pairs of spins. Associated to each pair is a local quasi-conserved quantity, allowing us to describe the early time dynamics of the system in terms of an integrable model similar to systems featuring prethermalization. Since the dynamics of pairs are independent of the type of Hamiltonian up to a scaling factor, this integrable model explains the observed universal relaxation dynamics of disordered Heisenberg quantum spin systems.

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Microwave Engineering of Programmable XXZ Hamiltonians in Arrays of Rydberg Atoms

Cited by 67 publications

References 63 publications

Noisy intermediate-scale quantum computers

Noisy intermediate-scale quantum computers

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Observation of universal relaxation dynamics in disordered quantum spin systems

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