Mathematical Foundations of Holonomic Quantum Computer

@inproceedings{Fujii2000MathematicalFO,
  title={Mathematical Foundations of Holonomic Quantum Computer},
  author={Kazuyuki Fujii},
  year={2000}
}
We make a brief review of (optical) Holonomic Quantum Computer (or Computation) proposed by Zanardi and Rasetti (quant–ph 9904011) and Pachos and Chountasis (quant–ph 9912093), and give a mathematical reinforcement to their works. ∗E-mail address : fujii@math.yokohama-cu.ac.jp 

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References

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Showing 1-10 of 13 references

Rasetti : Holonomic Quantum Computation

  • V. Vedral. A. Ekert, G. Castagnoli, M.
  • Phys . Lett . A
  • 1999

Steane : Quantum Computing , Rept

  • A.
  • Prog . Phys .
  • 1998

Shor : Polynomial - time algorithms for prime factorization and discrete logarithms on a quantum computer

  • W. P.
  • SIAM J . Computing .
  • 1997

Fujii : Coherent states , path integral , and semiclassical approximation

  • K.
  • J . Math . Phys .
  • 1995

Fujii : Exactness in the WentzelKramersBrillouin approximation for some homogeneous spaces

  • A.
  • J . Math . Phys .
  • 1995

Fujii : Solutions of A ∞ Toda equations based on noncompact group SU ( 1 , 1 ) and infinite - dimensional Grassmann manifolds

  • T. Kashiwa K. Funahashi, S. Sakoda, K.
  • J . Math . Phys .
  • 1995

S

  • K. Funahashi, T. Kashiwa
  • Sakoda and K. Fujii : Exactness in the Wentzel…
  • 1995

Solutions of A∞ Toda equations based on noncompact group SU(1, 1) and infinite-dimensional Grassmann manifolds

  • K. Fujii
  • J. Math. Phys.,
  • 1995
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