Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double

Abstract

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, $H_{\text{TFD}}$. 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 $H_{\text{TFD}}$ for the $q=4$ SYK model up to $N=12$.

arXiv comment20 pages, 8 figures; v2 references added

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Cited by in corpus (10)

• Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
• Quantum Information Scrambling: From Holography to Quantum Simulators
• Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the Rényi-1 Correlator
• Towards Quantum Gravity in the Lab on Quantum Processors
• Strong-to-weak Symmetry Breaking and Entanglement Transitions
• Hamiltonian Forging of a Thermofield Double
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• SYK model based $\beta$ regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
• Sparse SYK and traversable wormholes
• Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature