Narain CFTs from nonbinary stabilizer codes

Autor: Yasin Ferdous Alam, Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda, Shinichiro Yahagi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 12, Pp 1-38 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP12(2023)127
Popis: Abstract We generalize the construction of Narain conformal field theories (CFTs) from qudit stabilizer codes to the construction from quantum stabilizer codes over the finite field of prime power order ( F p m $$ {\mathbbm{F}}_{p^m} $$ with p prime and m ≥ 1) or over the ring ℤ k with k > 1. Our construction results in rational CFTs, which cover a larger set of points in the moduli space of Narain CFTs than the previous one. We also propose a correspondence between a quantum stabilizer code with non-zero logical qubits and a finite set of Narain CFTs. We illustrate the correspondence with well-known stabilizer codes.
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