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Universality in Terms of The BECs Bloch-Sphere Manipulations

  • Genji Fujii
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Abstract

Quantum computing promises to outperform classical computing for certain computational tasks. One of the key concepts underlying this potential is universality. Universality has been extensively studied not only for qubits but also for higher-dimensional quantum systems, such as qutrits and qudits, which span Hilbert spaces of dimension greater than two. However, the concept of universality in Bose-Einstein condensates (BECs) qubit systems, which have been proposed relatively recently, remains insufficiently understood. In this work, we analyzed universality in BECs qubit systems. Our results clarify the theoretical aspects of universality in quantum computation within the class of ((N+1))-dimensional representations of SU(2), taking into account two distinct representations of the quantum states.

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Cite

BibTeXRIS
BibTeX
@misc{fujii2026universality,
  title = {{Universality in Terms of The BECs Bloch-Sphere Manipulations}},
  author = {Genji Fujii},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23046},
  eprint = {2609.23046},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23046},
}
RIS
TY  - UNPB
TI  - Universality in Terms of The BECs Bloch-Sphere Manipulations
AU  - Genji Fujii
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.23046
UR  - https://arxiv.org/abs/2609.23046
AB  - Quantum computing promises to outperform classical computing for certain computational tasks. One of the key concepts underlying this potential is universality. Universality has been extensively studied not only for qubits but also for higher-dimensional quantum systems, such as qutrits and qudits, which span Hilbert spaces of dimension greater than two. However, the concept of universality in Bose-Einstein condensates (BECs) qubit systems, which have been proposed relatively recently, remains insufficiently understood. In this work, we analyzed universality in BECs qubit systems. Our results clarify the theoretical aspects of universality in quantum computation within the class of ((N+1))-dimensional representations of SU(2), taking into account two distinct representations of the quantum states.
ER  -