Engineering holography with stabilizer graph codes

Autor: Gerard Anglès Munné, Valentin Kasper, Felix Huber
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: npj Quantum Information, Vol 10, Iss 1, Pp 1-11 (2024)
Druh dokumentu: article
ISSN: 2056-6387
DOI: 10.1038/s41534-024-00822-z
Popis: 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.
Databáze: Directory of Open Access Journals