Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double

09/09/2020

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by   Vincent Paul Su, et al.

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We provide an algorithm for preparing the thermofield double (TFD) state of the Sachdev-Ye-Kitaev model without the need for an auxiliary bath. Following previous work, the TFD can be cast as the approximate ground state of a Hamiltonian, H_TFD. Using variational quantum circuits, we propose and implement a gradient-based algorithm for learning parameters that find this ground state, an application of the variational quantum eigensolver. Concretely, we find quantum circuits that prepare the ground state of H_TFD for the q=4 SYK model up to N=12.