Many-body Hilbert space scarring on a superconducting processor

Zhang, Pengfei; Dong, Hang; Gao, Yu; Zhao, Liangtian; Huang, Jie; Desaules, Jean-Yves; Guo, Qiujiang; Chen, Jiachen; Deng, Jinfeng; Liu, Bobo; Ren, Wenhui; Yao, Yuan; Zhang, Xu; Xu, Shibo; Wang, Ke; Jin, Feitong; Zhu, Xuhao; Zhang, Bing; Li, Hekang; Song, Cunxian; Wang, Zhen; Liu, Fangli; Papić, Zlatko; Ying, Lei; Wang, H.; Lai, Ying Cheng

doi:10.1038/s41567-022-01784-9

Cited by 44 publications

(21 citation statements)

References 85 publications

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“…The recent development of large-scale superconducting arrays makes it possible to design qubit circuits that simulate a specific physical device, and perform experiments on it [31,33,[35][36][37][138][139][140][141][142]. In this way Arute et al [33] simulated separation of the dynamics of charge and spin in the Fermi-Hubbard model, Neill et al [35] simulated the electronic properties of a quantum ring created in the Sycamore substrate, and Mi et al [37] investigated discrete time crystals in an open-ended, linear chain of 20 superconducting transmon qubits that were isolated from the two-dimensional Sycamore grid.…”

Section: Simulating Physical Systems On Engineered Quantum Platformsmentioning

confidence: 99%

“…Zhang et al [36] have studied many-body Hilbert space scarring (QMBS) on a superconducting processor. QMBS is a weak form of ergodicity breaking in strongly interacting quantum systems, meaning that the system does not visit all parts of phase space.…”

Section: Many-body Hilbert Space Scarringmentioning

confidence: 99%

“…The question of the feasibility of powerful quantum computers beating classical super-HPC hinges on that it will be ultimately possible to perform quantum error correction (QEC). When John Martinis' group was able to demonstrate that their superconducting quantum circuits were at the surface code threshold for fault tolerance [24], then the field opened up and went from quantum physics toward quantum computing, scaling up HW and SW [12,[25][26][27][28][29][30][31][32], and implementing significant quantum algorithms and quantum physics experiments [25][26][27][29][30][31][32][33][34][35][36][37][38], including demonstrations of significant steps toward QEC [39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

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Quantum information processing with superconducting circuits: a perspective

Wendin¹

2023

Preprint

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The last five years have seen a dramatic evolution of platforms for quantum computing, taking the field from physics experiments to quantum hardware and software engineering. Nevertheless, despite this progress of quantum processors, the field is still in the noisy intermediate-scale quantum (NISQ) regime, seriously limiting the performance of software applications. Key issues involve how to achieve quantum advantage in useful applications for quantum optimization and materials science, connected to the concept of quantum supremacy first demonstrated by Google in 2019. In this article we will describe recent work to establish relevant benchmarks for quantum supremacy and quantum advantage, present recent work on applications of variational quantum algorithms for optimization and electronic structure determination, discuss how to achieve practical quantum advantage, and finally outline current work and ideas about how to scale up to competitive quantum systems.

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Section: Simulating Physical Systems On Engineered Quantum Platformsmentioning

confidence: 99%

Section: Many-body Hilbert Space Scarringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum information processing with superconducting circuits: a perspective

Wendin¹

2023

Preprint

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“…Inspired by the scarring phenomenon in the 1D XY model [40], here, we consider a 2D SSH lattice constructed by a set of tetramers. The intra-and inter-tetramer couplings are denoted by J o and J e , respectively.…”

Section: Mechanism Of 2d Many-body Scarringmentioning

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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“…Quantum many-body scarring (QMBS) is a form of weak ergodicity breaking in which a small number of states retain memory of their initial wavefunction despite the rest of the system thermalizing (see recent reviews [1][2][3][4]). The set of models hosting QMBS states has rapidly expanded in recent years [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], including experimental realizations in several cold atom platforms [21][22][23][24][25]. At the same time, the underlying origin of memoryretaining initial states remains the subject of on-going work.…”

Section: Introductionmentioning

confidence: 99%