Engineering holography with stabilizer graph codes
- URL: http://arxiv.org/abs/2209.08954v2
- Date: Thu, 27 Jun 2024 13:37:47 GMT
- Title: Engineering holography with stabilizer graph codes
- Authors: Gerard Anglès Munné, Valentin Kasper, Felix Huber,
- Abstract summary: Recent technological progress in artificial quantum systems renders the experimental realization of holographic codes within reach.
We show how to obtain encoding and decoding circuits for the hyperbolic pentagon code, before focusing on a small instance of the holographic code on twelve qubits.
- Score: 2.7309692684728617
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The discovery of holographic codes established a surprising connection between quantum error correction and the anti-de Sitter-conformal field theory correspondence. Recent technological progress in artificial quantum systems renders the experimental realization of such holographic codes now within reach. Formulating the hyperbolic pentagon code in terms of a stabilizer graph code, we give gate sequences that are tailored to systems with long-range interactions. We show how to obtain encoding and decoding circuits for the hyperbolic pentagon code, before focusing on a small instance of the holographic code on twelve qubits. Our approach allows to verify holographic properties by partial decoding operations, recovering bulk degrees of freedom from their nearby boundary.
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