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Exact solutions of holonomic quantum computation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2004Embargo end date: 01 Jan 2003 English Publisher:Elsevier BVJournal:Physics Letters A, volume 325, pages 199-205 (issn: 0375-9601, Copyright policy )
Authors: Tanimura, Shogo; Hayashi, Daisuke; Nakahara, Mikio;

doi: 10.1016/j.physleta.2004.03.057 , 10.48550/arxiv.quant-ph/0312079

arXiv: quant-ph/0312079

Exact solutions of holonomic quantum computation

Abstract

Holonomic quantum computation is analyzed from geometrical viewpoint. We develop an optimization scheme in which an arbitrary unitary gate is implemented with a small circle in a complex projective space. Exact solutions for the Hadamard, CNOT and 2-qubit discrete Fourier transform gates are explicitly constructed.

11 pages, re-organized to be more comprehensive, references added, style file of Physics Letters A is needed

Related Organizations
Keywords

quantum computer, Quantum Physics, Quantum computation, small circle, FOS: Physical sciences, holonomy, Quantum Physics (quant-ph), control theory, unitary gate, isoholonomic problem

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 12
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Top 10%
Green
bronze