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  Increasing the Dimensionality of Quantum Walks Using Multiple Walkers

Rohde, P. P., Schreiber, A., Stefanak, M., Jex, I., Gilchrist, A., & Silberhorn, C. (2013). Increasing the Dimensionality of Quantum Walks Using Multiple Walkers. SI, 10(7), 1644-1652. doi:10.1166/jctn.2013.3104.

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 Creators:
Rohde, Peter P.1, Author           
Schreiber, Andreas1, Author           
Stefanak, Martin2, Author
Jex, Igor2, Author
Gilchrist, Alexei2, Author
Silberhorn, Christine1, Author           
Affiliations:
1Silberhorn Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364718              
2external, ou_persistent22              

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Free keywords: COMPUTATIONChemistry; Science & Technology - Other Topics; Materials Science; Physics; Quantum; Walk; Complexity;
 Abstract: We show that with the addition of multiple walkers, quantum walks on a line can be transformed into lattice graphs of higher dimension. Thus, multi-walker walks can simulate single-walker walks on higher dimensional graphs and vice versa. This exponential complexity opens up new applications for present-day quantum walk experiments. We discuss the applications of such higher-dimensional structures and how they relate to linear optics quantum computing. In particular we show that multi-walker quantum walks are equivalent to the BOSONSAMPLING model for linear optics quantum computation proposed by Aaronson and Arkhipov. With the addition of control over phase-defects in the lattice, which can be simulated with entangling gates, asymmetric lattice structures can be constructed which are universal for quantum computation.

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Language(s): eng - English
 Dates: 2013
 Publication Status: Issued
 Pages: 9
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: ISI: 000322605800016
DOI: 10.1166/jctn.2013.3104
 Degree: -

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Title: SI
Source Genre: Issue
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Publ. Info: 26650 THE OLD RD, STE 208, VALENCIA, CA 91381-0751 USA : AMER SCIENTIFIC PUBLISHERS
Pages: - Volume / Issue: 10 (7) Sequence Number: - Start / End Page: 1644 - 1652 Identifier: ISSN: 1546-1955

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Title: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
  Alternative Title : J COMPUT THEOR NANOS
  Alternative Title : J. Comput. Theor. Nanosci.
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 10 Sequence Number: - Start / End Page: - Identifier: -