Mathematical Foundations of Holonomic Quantum Computer II

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dc.creatorFujii, Kazuyuki
dc.date2001-01-22
dc.date.accessioned2026-07-07T06:01:32Z
dc.date.available2026-07-07T06:01:32Z
dc.descriptionThis is a sequel to the papers (quant-ph/9910063) and (quant-ph/0004102). The aim of this paper is to give mathematical foundations to Holonomic Quantum Computation (Computer) proposed by Zanardi and Rasetti (quant-ph/9904011) and Pachos and Chountasis (quant-ph/9912093). In 2-qubit case we give an explicit form to non-abelian Berry connection of quantum computational bundle which is associated with Holonomic Quantum Computation, on some parameter space. We also suggest a possibility that not only usual holonomy but also higher-dimensional holonomies must be used to prove a universality of our Holonomic Quantum Computation.
dc.descriptionLatex file, 36 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0101102
dc.identifierhttp://arxiv.org/abs/quant-ph/0101102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89290
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleMathematical Foundations of Holonomic Quantum Computer II
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