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Paper 1
Qutrit codes within representations of SU(3)
Xzavier Herbert, Jonathan Gross, Michael Newman
- Year
- 2023
- Journal
- arXiv preprint
- DOI
- arXiv:2312.00162
- arXiv
- 2312.00162
We describe a quantum error-detecting and error-correcting code embedded within irreducible representations of SU(3). These logical qutrits inherit the He(3) symmetries induced by the representation, while protecting against small SU(3) displacements. We explore the general methodology for finding codes from structure-inducing representations of groups, together with symmetries inherited from finite subgroups, extending the case of spin representations of SU(2).
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CH$_4\cdot$F$^-$ revisited: Full-dimensional ab initio potential energy surface and variational vibrational states
Dóra Papp, Viktor Tajti, Gustavo Avila, Edit Mátyus, Gábor Czakó
- Year
- 2022
- Journal
- arXiv preprint
- DOI
- arXiv:2209.04306
- arXiv
- 2209.04306
The automated development of a new ab initio full-dimensional potential energy surface (PES) is reported for the CH$_4\cdot$F$^-$ complex using the ROBOSURFER program package. The new potential provides a near-spectroscopic quality description over a broad configuration range including the methane-ion dissociation, as well as isolated methane vibrations. In particular, it improves upon the earlier [Czakó, Braams, Bowman (2008)] PES over intermediate methane-fluoride distances. Full-dimensional (12D) variational vibrational computations using the new PES and the GENIUSH-Smolyak algorithm show that tunneling splittings larger than 0.1 cm$^{-1}$ appear below the top of the interconversion barrier of the four equivalent minima of the complex.
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