Trigate: A Quantum Cryptocurrency Project
Abstract
Herein is proposed a three-staged progressive presentation toward the theoretical prism of creating any functional quantum cryptocurrency system. In the initial phase, a trinary quantum switch-gate will be proposed instead of the commonplace binary qubits as a means of encoding a quantum cryptocurrency. The switch-gate permits the construction of a tetra-helix blockchain that acts as a spherical radius for modeling encrypted data. The second phase deals with geometrically translating this tetra-helix structure on the surface of a Riemann sphere to represent trinary logic as spherical topologies. This projection allows encryption to be made more complex without increasing spatial volume, thereby perfectly suiting quantum coin systems that demand scalability. Phase 3 employs spinor dynamics so that quantum encrypted transaction data are stored as summable vectors within perfect magic number hypercubes, which act as multidimensional "wallets" for secure storage and management of varying denominations of quantum currency. This model provides a fresh landscape to incorporate a tetrahedral tessellation of the Bloch and Riemann spheres on entanglement-based spin quantification with an aim to encourage further investigation into encryption-rich, scalable, and physically realizable quantum financial architectures.
References
[2] Wang, J. (2008). Finding and Investigating Exact Spherical Codes. arXiv preprint. Available: https://arxiv.org/abs/0805.0776v2
[3] Conway, J. H. & Sloane, N. J. A. (1998). Sphere Packings, Lattices and Groups (3rd ed.). New York: Springer.
[4] Vallentin, F. (2003). Sphere Coverings, Lattices, and Tilings (in Low Dimensions) (Ph.D. dissertation). Zentrum Mathematik, Technische Universität München.
[5] Gui, C. & Moradifam, A. (2016). The Sphere Covering Inequality and Its Applications. arXiv preprint. Available: https://arxiv.org/abs/1605.06481v3
[6] Trenkler, M. (2005). An Algorithm for Making Magic Cubes. Pi Mu Epsilon Journal, 12(2), 105–106.
[7] Pickover, C. (2001). The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures. Princeton, NJ: Princeton University Press.
[8] Ternary computer. (2025, July 16). In Wikipedia. https://en.wikipedia.org/wiki/Ternary_computer
[9] Boerdijk Coxeter helix. (2025, June 5). In Wikipedia. https://en.wikipedia.org/wiki/Boerdijk Coxeter_helix
[10] Riemann sphere. (2025, July 1). In Wikipedia. https://en.wikipedia.org/wiki/Riemann_sphere
[11] Bloch sphere. (2025, June 25). In Wikipedia. https://en.wikipedia.org/wiki/Bloch_sphere
[12] Cryptocurrency. (2025, July 18). In Wikipedia. https://en.wikipedia.org/wiki/Cryptocurrency
Copyright (c) 2025 Jonathan Barlow Gee

This work is licensed under a Creative Commons Attribution 4.0 International License.