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Paper 1
Floquet Codes from Derived Semi-Regular Hyperbolic Tessellations on Orientable and Non-Orientable Surfaces
Douglas F. Copatti, Giuliano G. La Guardia, Waldir S. Soares, Edson D. Carvalho, Eduardo B. Silva
- Year
- 2026
- Journal
- arXiv preprint
- DOI
- arXiv:2603.29811
- arXiv
- 2603.29811
In this paper, we construct several new quantum Floquet codes on compact, orientable, as well as non-orientable surfaces. In order to obtain such codes, we identify these surfaces with hyperbolic polygons and examine hyperbolic semi-regular tessellations on such surfaces. The method of construction presented here generalizes similar constructions concerning hyperbolic Floquet codes on connected and compact surfaces with genus $g \geq 2$. A performance analysis and an investigation of the asymptotic behavior of these codes are also presented.
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On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation
Arindam Chakraborty
- Year
- 2026
- Journal
- arXiv preprint
- DOI
- arXiv:2603.06643
- arXiv
- 2603.06643
The general forms of Quantum Hamilton Jacobi Equation for a particle of constant mass, position dependent effective mass and non-Hermitian Effective mass Swanson model have been considered. It has been found that the said equations can be recast in the form of Cayley-Klein Riccati equations which admit a Lie-Hamilton structure. The possible expressions of Lie symmetry and Lie Integral have also been considered.
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