Quantum Information Scrambling on a Superconducting Qutrit Processor

Blok, Machiel; Ramasesh, Vinay; Schuster, Thomas; O’Brien, Kevin; Kreikebaum, John Mark; Dahlen, Dar; Morvan, Alexis; Yoshida, Beni; Yao, Norman Y.; Siddiqi, Irfan

doi:10.1103/physrevx.11.021010

Cited by 218 publications

(186 citation statements)

References 67 publications

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“…More generally, the behavior of F depends on the interaction between the different degrees of freedom [32,33]. The OTOC has been experimentally measured in nuclear magnetic resonance quantum simulators [34][35][36][37], trapped ions [38][39][40] and superconducting qubits [41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Emergent symmetry in Brownian SYK models and charge dependent scrambling

Agarwal

2022

J. High Energ. Phys.

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In this work, we introduce a symmetry-based approach to study the scrambling and operator dynamics of Brownian SYK models at large finite N and in the infinite N limit. We compute the out-of-time-ordered correlator (OTOC) in the Majorana model without charge conservation and the complex model with charge conservation, and demonstrate that in both models taking the random average of the couplings gives rise to emergent symmetry structures. The random averaging exactly maps the operator dynamics of the Majorana model and the complex model to the imaginary time dynamics of an SU(2) spin and an SU(4) spin respectively, which become solvable in the large N limit. Furthermore, the symmetry structure drastically reduces the size of the Hilbert space required to calculate the OTOC from exponential to linear in N, providing full access to the operator dynamics at all times for large finite N. In the case of the complex model with charge conservation, using this approach, we obtain the OTOC within each charge sector both numerically at finite N and analytically in the large N limit. We find that the time scale of the scrambling dynamics for all times and in each sector is characterized by the charge density. Furthermore, after proper rescaling, the OTOC corresponding to different finite charge densities collapses into a single curve at large finite N. In the large N limit, the rescaled OTOCs at finite density are described by the same hydrodynamic equation as in the Majorana case.

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Section: Introductionmentioning

confidence: 99%

Emergent symmetry in Brownian SYK models and charge dependent scrambling

Agarwal

2022

J. High Energ. Phys.

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“…The persistent and synchronized oscillations of the OTOC and Holevo information inside the light cone are attributed to the "local" rather than "global" thermalization and robustness of scarred eigenstates against local perturbations, which are argued in [65] and need future in-depth analytical studies. Experiment proposals.-Recent experimental progress has enabled the measurements of information scrambling dynamics in well-controlled synthetic quantum systems, including nuclear magnetic resonance (NMR) systems [72,73], trapped ions [74][75][76][77] and superconducting qubits [78][79][80][81]. The PXP model can be naturally realized with the Rydberg-atom platform [60,82,83], governed by the following Hamiltonian:…”

Section: (B) For a Sketch]mentioning

confidence: 99%

Quantum Information Scrambling in Quantum Many-body Scarred Systems

Yuan,

Zhang,

Wang

et al. 2022

Preprint

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Quantum many-body scarred systems host special non-thermal eigenstates which support periodic revival dynamics and weakly break the ergodicity. In this paper, we study the quantum information scrambling dynamics in quantum many-body scarred systems, with a focus on the "PXP" model. We use the out-of-time-ordered correlator (OTOC) and Holevo information as measures of the information scrambling, and apply an efficient numerical method based on matrix product operators to compute them up to 41 spins. We find that both the OTOC and Holevo information exhibit a linear light cone and periodic oscillations inside the light cone for initial states within the scarred subspace, which is in sharp contrast to thermal or many-body localized systems. To explain the formation of the linear light cone structure, we provide a perturbation-type calculation based on a phenomenological model. In addition, we demonstrate that the OTOC and Holevo information dynamics of the "PXP" model can be measured using the Rydberg-atom quantum simulators with current experimental technologies, and numerically identify the measurable signatures using experimental parameters.

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“…We note that these operations correspond to experimentally accessible transitions in superconducting qutritbased processors [47]. The 0-2 transition can be accessed by intermediate operations:…”

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confidence: 94%

“…The limited connectivity of ex- isting NISQ devices and sufficiently high level of errors in the operation with high energy levels poses a problem of relaxing conditions for the efficient implementation of multi-qubit gates. Many works are then focused on revealing the potential of qutrits [14,23,25,46], which are possible to operate efficiently in experiments [29,[46][47][48][49][50].…”

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confidence: 99%

See 1 more Smart Citation

Decomposing the generalized Toffoli gate with qutrits

Nikolaeva,

Kiktenko,

Fedorov

2021

Preprint

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Quantum Information Scrambling on a Superconducting Qutrit Processor

Cited by 218 publications

References 67 publications

Emergent symmetry in Brownian SYK models and charge dependent scrambling

Emergent symmetry in Brownian SYK models and charge dependent scrambling

Quantum Information Scrambling in Quantum Many-body Scarred Systems

Decomposing the generalized Toffoli gate with qutrits

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