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Lorentz Quantum Computer

Quantum Physics 2023-03-15 v3 Other Condensed Matter Computational Complexity

Abstract

A theoretical model of computation is proposed based on Lorentz quantum mechanics. Besides the standard qubits, this model has an additional bit, which we call hyperbolic bit (or hybit in short). A set of basic logical gates are constructed and their universality is proved. As an application, a search algorithm is designed for this computer model and is found to be exponentially faster than the Grover's search algorithm.

Keywords

Cite

@article{arxiv.2103.10315,
  title  = {Lorentz Quantum Computer},
  author = {Wenhao He and Zhenduo Wang and Biao Wu},
  journal= {arXiv preprint arXiv:2103.10315},
  year   = {2023}
}