Probing Operator Spreading via Floquet Engineering in a Superconducting Circuit

Zhao, Sniping; Ge, Zi-Yong; Xiang, Zhongcheng; Xue, Guangming; Yan, Hongtao; Wang, Z. T.; Wang, Zhan; Xu, Huikai; Su, Feifan; Zhi-hong, Yang; Zhang, He; Zhang, Yu-Ran; Guo, Xueyi; Xu, Kai; Tian, Ye; Yu, Haifeng; Zheng, Dewen; Fan, Heng; Zhao, S. P.

doi:10.1103/physrevlett.129.160602

Cited by 18 publications

(12 citation statements)

References 59 publications

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“…[16,18] However, without loss of generality, we will experimentally demonstrate our method for the calibration and cancellation of microwave crosstalk in the superconducting 10-qubit chain with widely varied crosstalk strength in the resonant case, namely with all qubits biased at the same frequency, a situation in which numerous analog quantum simulation experiments are performed. [5][6][7][8][9][10][11][12][13] A photograph of the device used in the experiment is shown in Fig. 1 and its basic parameters are listed in Table 1.…”

Section: Microwave Crosstalk In Superconducting Circuitsmentioning

confidence: 99%

“…Superconducting qubits are an excellent platform for quantum simulation and quantum computation, [1][2][3] which have been widely used to simulate many-body phenomena in condensed-matter physics [4][5][6][7][8][9][10][11][12][13] and demonstrate quantum advantage. [14,15] In the applications, the precise controls of qubits are required and crosstalks among different control lines need to be eliminated.…”

Section: Introductionmentioning

confidence: 99%

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Calibration and cancellation of microwave crosstalk in superconducting circuits

et al. 2023

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The precise control and manipulation of the qubit state are vital for quantum simulation and quantum computation. In superconducting circuits, one notorious error comes from the crosstalk of microwave signals applied to different qubit control lines. In this work, we present a method for the calibration and cancellation of the microwave crosstalk and experimentally demonstrate its effectiveness in a superconducting 10-qubit chain. The method is convenient and efficient especially for calibrating the microwave crosstalk with large amplitudes and variations, which can be performed successively to reduce the microwave crosstalk by two to three orders. The qubit chain with microwave driving is governed by 1D Bose-Hubbard model in transverse field, which is nonintegrable and shows thermalization behaviour during the time evolution from certain initial states. Such thermalization process is observed with excellent agreement between experiment and theory further confirming the effective global cancellation of the microwave crosstalk.

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Section: Microwave Crosstalk In Superconducting Circuitsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Calibration and cancellation of microwave crosstalk in superconducting circuits

et al. 2023

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“…For 2D lattice systems, the OTOC measurement is similar to that of the 1D lattice systems except for the construction of the model. Note that our proposal is not limited to this particular architecture, and could be implemented or adapted in a variety of platforms that have full local quantum control [86][87][88][118][119][120][121][122][123], such as a nuclear magnetic resonance quantum simulator [86][87][88] and superconducting qubit [118][119][120].…”

Section: Amentioning

confidence: 99%

Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions

Bin,

Wan,

Nori

et al. 2023

Preprint

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“…Intrinsically, we previously found a quantized response of OTOCs when varying the kicking potential of the PTKR model [74]. State-of-art experimental advances have observed different kinds of OTOCs in the setting of nuclear magnetic resonance [75,76], trapping ions [77] and qubit under Floquet engineering [78].…”

Section: Introductionmentioning

confidence: 99%

Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\cal{PT}$-symmetry breaking in a Floquet system

Zhao¹,

Wang²,

Han³

et al. 2023

Preprint

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We investigate both numerically and analytically the dynamics of out-of-time-order correlators (OTOCs) in a non-Hermitian kicked rotor model, addressing the scaling laws of the time dependence of OTOCs at the transition to the spontaneous PT symmetry breaking. In the unbroken phase of PT symmetry, the OTOCs increase monotonically and eventually saturate with time, demonstrating the freezing of information scrambling. Just beyond the phase transition points, the OTOCs increase in the power-laws of time, with the exponent larger than two. Interestingly, the quadratic growth of OTOCs with time emerges when the system is far beyond the phase transition points. Above numerical findings have been validated by our theoretical analysis, which provides a general framework with important implications for Floquet engineering and the information scrambling in chaotic systems.

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Probing Operator Spreading via Floquet Engineering in a Superconducting Circuit

Cited by 18 publications

References 59 publications

Calibration and cancellation of microwave crosstalk in superconducting circuits

Calibration and cancellation of microwave crosstalk in superconducting circuits

Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions

Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\cal{PT}$-symmetry breaking in a Floquet system

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