More on Optical Holonomic Quantum Computer

Details More on Optical Holonomic Quantum Computer More on Optical Holonomic Quantum Computer

2000-05-31

arxiv.org/abs/quant-ph/0005129v1

Physics

Quantum Physics

Latex file, 23 pages

Scientific paper

We in this paper consider a further generalization of the (optical) holonomic quantum computation proposed by Zanardi and Rasetti (quant-ph/9904011), and reinforced by Fujii (quant-ph/9910069) and Pachos and Chountasis (quant-ph/9912093). We construct a quantum computational bundle on some parameter space, and calculate non-abelian Berry connections and curvatures explicitly in the special cases. Our main tool is unitary coherent operators based on Lie algebras su(n+1) and su(n,1), where the case of n = 1 is the previous one.

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