Multi-Axial Projective Sphere (MAPS)

The MAPS, as a generalized three-dimensional framework, is geometrically constructed to effectively visualize higher d-valued quantum state-space of qudits, where d ≥ 3. Our MAPS is efficiently designed and built as a standalone HTML file that can be downloaded and run in any browser, without installing additional software. Notice that there may be visual glitches and misoperations in the MAPS. If you observe any, please let us know by reaching out to "albayaty@pdx.edu". The MAPS is intended for academic and non-commercial use, as an open-source project protected by The MIT License.

●  Basic MAPS:

[1]  Ali Al-Bayaty. MAPS: Qutrit. (2026). GitHub.com. [Online]. Available: https://albayaty.github.io/sw/d3-MAPS.html

[2]  Ali Al-Bayaty. MAPS: Ququadit. (2026). GitHub.com. [Online]. Available: https://albayaty.github.io/sw/d4-MAPS.html

[3]  Ali Al-Bayaty. MAPS: Quintit. (2026). GitHub.com. [Online]. Available: https://albayaty.github.io/sw/d5-MAPS.html

●  Advanced MAPS:

[4]  Ali Al-Bayaty. MAPS: 3 Qutrits. (2026). GitHub.com. [Online]. Available: https://albayaty.github.io/sw/d3-MAPS-3-qutrits.html

[5]  Ali Al-Bayaty. MAPS: Qudit. (2026). GitHub.com. [Online]. Available: https://albayaty.github.io/sw/dn-MAPS.html

●  For more information, please check out our arXiv preprint:

[6]  Ali Al-Bayaty, "MAPS: A novel multi-axial projective sphere for geometrically visualizing higher d-valued quantum state-space of qudits," 2026, arXiv:2606.15801, doi: 10.48550/arXiv.2606.15801.

Generalized MAPS