Benchmarking Quantum Simulators using Quantum Chaos

Mark, Daniel K.; Choi, Joonhee; Shaw, Adam L.; Endres, Manuel; Choi, Soonwon

doi:10.48550/arxiv.2205.12211

Cited by 3 publications

(4 citation statements)

References 32 publications

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“…Beyond the above single-and two-qubit measurements, we perform in situ many-body characterization of Hamiltonian parameters (32,33), which are otherwise hard to access. For example, the sign of the hopping term J i;j inherits the spatial profile of the photonic component of the bound states.…”

Section: Many-body Hamiltonian Learningmentioning

confidence: 99%

“…Although insignificant in measurements involving only two lattice sites, the sign of the hopping terms does alter the many-body dynamics of the system. Here, we use a many-body fidelity estimator F d proposed in (33) to reveal this information. This fidelity estimator, which closely tracks the true many-body fidelity, is obtained for ergodic quench evolution of simple initial states (supplementary text VI).…”

Section: Many-body Hamiltonian Learningmentioning

confidence: 99%

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A superconducting quantum simulator based on a photonic-bandgap metamaterial

Kim

Mark

Choi

et al. 2023

Science

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Synthesizing many-body quantum systems with various ranges of interactions facilitates the study of quantum chaotic dynamics. Such extended interaction range can be enabled by using nonlocal degrees of freedom such as photonic modes in an otherwise locally connected structure. Here, we present a superconducting quantum simulator in which qubits are connected through an extensible photonic-bandgap metamaterial, thus realizing a one-dimensional Bose-Hubbard model with tunable hopping range and on-site interaction. Using individual site control and readout, we characterize the statistics of measurement outcomes from many-body quench dynamics, which enables in situ Hamiltonian learning. Further, the outcome statistics reveal the effect of increased hopping range, showing the predicted crossover from integrability to ergodicity. Our work enables the study of emergent randomness from chaotic many-body evolution and, more broadly, expands the accessible Hamiltonians for quantum simulation using superconducting circuits.

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Section: Many-body Hamiltonian Learningmentioning

confidence: 99%

Section: Many-body Hamiltonian Learningmentioning

confidence: 99%

A superconducting quantum simulator based on a photonic-bandgap metamaterial

Kim

Mark

Choi

et al. 2023

Science

View full text Add to dashboard Cite

show abstract

“…To illustrate the unique capacities of our photonic VHarchitecture processor, we utilize it to investigate the quantum signature of chaos, which is a widely interested fundamental problem [53][54][55][56][57][58][59][60][61][62][63][64][65] and is closely related to the classical-quantum boundary [54,55,58], and can also be used to benchmark quantum simulators [62,63]. Quantum signature of chaos is investigated in this work from two different aspects which can be compiled into two quantum programs.…”

Section: Resultsmentioning

confidence: 99%

A photonic von-Neumann-like quantum processor and its application in studying quantum signature of chaos

2023

Preprint

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Photonic quantum computation plays an important role and offers unique advantages. Two decades after the milestone work of Knill-Laflamme-Milburn, various architectures of photonic processors have been proposed, and quantum advantage over classical computers has also been demonstrated. It is now the opportune time to apply this technology to real-world applications. However, at current technology level, this aim is restricted by either programmability in bulk optics or loss in integrated optics for the existing architectures of processors, for which the resource cost is also a problem. Here we present a von-Neumann-like architecture based on temporal-mode encoding and looped structure on table, which is capable of multimode-universal programmability, resource-efficiency, phase-stability and software-scalability. In order to illustrate these merits, we execute two different programs with varying resource requirements on the same processor, to investigate quantum signature of chaos from two aspects: the signature behaviors exhibited in phase space (13 modes), and the Fermi golden rule which has not been experimentally studied in quantitative way before (26 modes). The maximal program contains an optical interferometer network with 1694 freely-adjustable phases. Considering current state-of-the-art, our architecture stands as the most promising candidate for real-world applications.

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“…In the context of digital quantum simulators, the statistical analysis of classical snapshots is at the heart of the random circuit sampling problem, an ideal test of quantum computational advantage with noisy, intermediate-scale quantum hardware, which has been the subject of intense theoretical and experimental study in recent years [19,20,21,22,23,24,25]. Relatedly, methods based on the statistics of such classical snapshots have been proposed to quantify the many-body fidelity between two quantum states, allowing the benchmarking of quantum simulator performance [26,27].…”

Section: Introductionmentioning

confidence: 99%

Solvable model of deep thermalization with distinct design times

Ippoliti

2022

Quantum

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We study the emergence over time of a universal, uniform distribution of quantum states supported on a finite subsystem, induced by projectively measuring the rest of the system. Dubbed deep thermalization, this phenomenon represents a form of equilibration in quantum many-body systems stronger than regular thermalization, which only constrains the ensemble-averaged values of observables. While there exist quantum circuit models of dynamics in one dimension where this phenomenon can be shown to arise exactly, these are special in that deep thermalization occurs at precisely the same time as regular thermalization. Here, we present an exactly-solvable model of chaotic dynamics where the two processes can be shown to occur over different time scales. The model is composed of a finite subsystem coupled to an infinite random-matrix bath through a small constriction, and highlights the role of locality and imperfect thermalization in constraining the formation of such universal wavefunction distributions. We test our analytical predictions against exact numerical simulations, finding excellent agreement.

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Benchmarking Quantum Simulators using Quantum Chaos

Cited by 3 publications

References 32 publications

A superconducting quantum simulator based on a photonic-bandgap metamaterial

A superconducting quantum simulator based on a photonic-bandgap metamaterial

A photonic von-Neumann-like quantum processor and its application in studying quantum signature of chaos

Solvable model of deep thermalization with distinct design times

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