This paper presents a digital simulation of the discrete-time quantum dynamics of a spin-XXZ spin chain on a noisy quantum device to extract the high-temperature transport exponent at the isotropic point. Using a pseudo-random state generated by a tailored random circuit on the ibmq-montreal 27-qubit device, the authors simulate the temporal decay of the spin correlation function. The results show an anomalous super-diffusive exponent consistent with Kardar-Parisi-Zhang (KPZ) scaling, which is further confirmed by simulating the restoration of spin diffusion with an integrability-breaking potential.
Publisher
npj Quantum Information
Published On
Jul 20, 2023
Authors
Nathan Keenan, Niall F. Robertson, Tara Murphy, Sergiy Zhuk, John Goold
Tags
quantum dynamics
spin-XXZ
quantum device
super-diffusive exponent
KPZ scaling
spin correlation function
integrability-breaking potential
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