Digital quantum simulation of Floquet symmetry-protected topological phases

Zhang, Xu; Jiang, Wenjie; Deng, Jinfeng; Wang, Ke; Chen, Jiachen; Zhang, Pengfei; Ren, Wenhui; Dong, Hang; Xu, Shibo; Gao, Yu; Jin, Feitong; Zhu, Xuhao; Guo, Qiujiang; Li, Hekang; Song, Cunxian; Gorshkov, Alexey V.; Iadecola, Thomas; Liu, Fangli; Gong, Zhe-Xuan; Wang, Zhen; Deng, Dong-Ling; Wang, H.

doi:10.1038/s41586-022-04854-3

Cited by 64 publications

(15 citation statements)

References 64 publications

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“…Some recent milestones include the demonstration of quantum supremacy using a 53-qubit superconducting quantum processor [13], which is further strengthened with a 66-qubit processor [128]. Offering scalable high-fidelity control and configurable interactions, superconducting circuits have become a versatile playground for quantum computational tasks [125,128,[138][139][140][141], quantum simulation [142][143][144][145][146][147][148][149][150], quantum annealing [19,151], quantum chemistry [152][153][154][155], exotic many-body physics [156][157][158][159][160][161], new regimes for light-matter interaction [162][163][164][165], quantum sensing [166,167] and studying biological processes [168].…”

Section: Quantum Algorithmsmentioning

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: Quantum Algorithmsmentioning

confidence: 99%

Noisy intermediate-scale quantum computers

Cheng

Deng

et al. 2023

Front. Phys.

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“…The device is fabricated using the flip-chip recipe (see Ref. [62] for more fabrication details). In current experiment, we utilize up to 24 (4 × 6) qubits and 38 couplers, but we collect the performance for all 36 qubits in Table S1.…”

Section: Device Performancementioning

confidence: 99%

Observation of many-body Fock space dynamics in two dimensions

Yao

Xiang

Guo

et al. 2022

Preprint

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Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of few-body probes in real space is often insufficient to tackle challenging problems such as quantum critical behavior and many-body localization (MBL) in higher dimensions. Here, we experimentally employ a new paradigm on a superconducting quantum processor, exploring such elusive questions from a Fock space view: mapping the many-body system onto an unconventional Anderson model on a complex Fock space network of many-body states. By observing the wave packet propagating in Fock space and the emergence of a statistical ergodic ensemble, we reveal a fresh picture for characterizing representative many-body dynamics: thermalization, localization, and scarring. In addition, we observe a quantum critical regime of anomalously enhanced wave packet width and deduce a critical point from the maximum wave packet fluctuations, which lend support for the two-dimensional MBL transition in finite-sized systems. Our work unveils a new perspective of exploring many-body physics in Fock space, demonstrating its practical applications on contentious MBL aspects such as criticality and dimensionality. Moreover, the entire protocol is universal and scalable, paving the way to finally solve a broader range of controversial many-body problems on future larger quantum devices.

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“…The given observable in the DTC phase can develop persistent oscillations whose period is an integer multiple of the driving period. Recently, DTC has been experimentally realized in programmable quantum devices with periodic driving [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Discrete time crystal enabled by Stark many-body localization

Liu¹,

Zhang²,

Hsieh³

et al. 2022

Preprint

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Discrete time crystal (DTC) has recently attracted increasing attention, but most DTC models and their properties are only revealed after disorder average. In this Letter, we propose a simple disorder-free periodically driven model that exhibits nontrivial DTC order stabilized by Stark manybody localization (MBL). We demonstrate the existence of DTC phase by analytical analysis from perturbation theory and convincing numerical evidence from observable dynamics. The new DTC model paves a new promising way for further experiments and deepens our understanding of DTC. Since the DTC order doesn't require special quantum state preparation and the strong disorder average, it can be naturally realized on the noisy intermediate-scale quantum (NISQ) hardware with much fewer resources and repetitions. Moreover, besides the robust subharmonic response, there are other novel robust beating oscillations in Stark-MBL DTC phase which are absent in random or quasi-periodic MBL DTC.

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Digital quantum simulation of Floquet symmetry-protected topological phases

Cited by 64 publications

References 64 publications

Noisy intermediate-scale quantum computers

Noisy intermediate-scale quantum computers

Observation of many-body Fock space dynamics in two dimensions

Discrete time crystal enabled by Stark many-body localization

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