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Parallelizing with Limited Number of Ancillae

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Unconventional Models of Computation, UMC’2K

Part of the book series: Discrete Mathematics and Theoretical Computer Science ((DISCMATH))

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Abstract

In this paper, parallelization methods on a condition are proposed for three types of quantum circuits, where the condition is that the number of available ancillae is limited and parallelization means that a given quantum circuit is reconstructed as one with smaller depth. As a by-product, for the three types of n-input quantum circuits, upper bounds on the number of ancillae for parallelizing to logarithmic depth are reduced to 1/ log n of the previous upper bounds.

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© 2001 Springer-Verlag London

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Abe, H., Sung, S.C. (2001). Parallelizing with Limited Number of Ancillae. In: Antoniou, I., Calude, C.S., Dinneen, M.J. (eds) Unconventional Models of Computation, UMC’2K. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0313-4_11

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  • DOI: https://doi.org/10.1007/978-1-4471-0313-4_11

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-415-4

  • Online ISBN: 978-1-4471-0313-4

  • eBook Packages: Springer Book Archive

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