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.

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

References in corpus (6)

• Errors in trapped-ion quantum gates due to spontaneous photon scattering
• Magnetic trapping and Zeeman relaxation of imidogen (NH X-triplet-Sigma)
• Individual addressing of trapped ions and coupling of motional and spin states using rf radiation
• Assembly of a rovibrational ground state molecule in an optical tweezer
• Rotational Coherence Times of Polar Molecules in Optical Tweezers
• Cooling of a Zero-Nuclear-Spin Molecular Ion to a Selected Rotational State

Cited by in corpus (10)

• Strategies for implementing quantum error correction in molecular rotation
• Covariant Quantum Error-Correcting Codes with Metrological Entanglement Advantage
• Designing quantum error correction codes for practical spin qudit
• Class of codes correcting absorptions and emissions
• Three-qubit encoding in ytterbium-171 atoms for simulating 1+1D QCD
• Hyperfine spectroscopy of optical-cycling transitions in singly ionized thulium
• Quantum error correction beyond $SU(2)$: spin, bosonic, and permutation-invariant codes from convex geometry
• Sub-Doppler cooling, state preparation, and optical trapping of a triel atom
• High-Resolution Spectroscopy of ${}^{173}$Yb${}^{+}$ Ions
• Fault-Tolerant Encoding of Logical Qudits in Spin Systems