Æ codes

Abstract

Diatomic molecular codes [arXiv:1911.00099] are designed to encode quantum information in the orientation of a diatomic molecule, allowing error correction from small torques and changes in angular momentum. Here, we directly study noise native to atomic and molecular platforms -- spontaneous emission, stray electromagnetic fields, and Raman scattering -- and show that diatomic molecular codes fail against this noise. We derive simple necessary and sufficient conditions for codes to protect against such noise. We also identify existing and develop new absorption-emission (Æ) codes that are more practical than molecular codes, require lower average momentum, can directly protect against photonic processes up to arbitrary order, and are applicable to a broader set of atomic and molecular systems.

arXiv comment5+5 pages, 3 figures. Added appendix about non-locality of spontaneous decay

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• Three-qubit encoding in ytterbium-171 atoms for simulating 1+1D QCD
• Quantum error correction beyond $SU(2)$: spin, bosonic, and permutation-invariant codes from convex geometry
• Hyperfine spectroscopy of optical-cycling transitions in singly ionized thulium
• Sub-Doppler cooling, state preparation, and optical trapping of a triel atom
• Fault-Tolerant Encoding of Logical Qudits in Spin Systems
• High-Resolution Spectroscopy of ${}^{173}$Yb${}^{+}$ Ions