Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes

• URL: http://arxiv.org/abs/2012.09210v2
• Date: Mon, 28 Feb 2022 16:53:32 GMT
• Title: Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
• Authors: Jan Behrends, Benjamin B\'eri
• Abstract summary: We construct fermionic all-to-all Floquet quantum circuits of random four-body gates to capture key features of the Sachdev-Ye-Kitaev (SYK) model. This offers an analog-digital route to SYK quantum simulations that reconciles all-to-all interactions with the topological protection of Majorana zero modes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. Our circuits can be built using local ingredients in Majorana devices, namely charging-mediated interactions and braiding Majorana zero modes. This offers an analog-digital route to SYK quantum simulations that reconciles all-to-all interactions with the topological protection of Majorana zero modes, a key feature missing in existing proposals for analog SYK simulation. We also describe how dynamical, including out-of-time-ordered, correlation functions can be measured in such analog-digital implementations by employing foreseen capabilities in Majorana devices.

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