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Quantum Information Processing

, Volume 14, Issue 8, pp 2729–2748 | Cite as

Quantum digital-to-analog conversion algorithm using decoherence

  • Akira SaiToh
Article
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Abstract

We consider the problem of mapping digital data encoded on a quantum register to analog amplitudes in parallel. It is shown to be unlikely that a fully unitary polynomial-time quantum algorithm exists for this problem; NP becomes a subset of BQP if it exists. In the practical point of view, we propose a nonunitary linear-time algorithm using quantum decoherence. It tacitly uses an exponentially large physical resource, which is typically a huge number of identical molecules. Quantumness of correlation appearing in the process of the algorithm is also discussed.

Keywords

Digital-to-analog conversion Quantum algorithm  Bulk-ensemble computation 
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Notes

Acknowledgments

This work was supported by the Grant-in-Aid for Scientific Research from JSPS (Grant No. 25871052).

Supplementary material

11128_2015_1033_MOESM1_ESM.pdf (37 kb)
Supplementary material 1 (pdf 36 KB)

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© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Computer Science and EngineeringToyohashi University of TechnologyToyohashiJapan

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