More on Optical Holonomic Quantum Computer

Abstract

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.

Latex file, 23 pages

References in corpus (6)

• Fault-tolerant quantum computation by anyons
• Quantum Computing
• Non-Abelian Berry connections for quantum computation
• Coherent states, Path integral, and Semiclassical approximation
• Coherent states over Grassmann manifolds and the WKB-exactness in path integral
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Cited by in corpus (3)

• Introduction to Coherent States and Quantum Information Theory
• From Geometry to Quantum Computation
• Basic Properties of Coherent and Generalized Coherent Operators Revisited