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MAPPING, PROGRAMMABILITY AND SCALABILITY OF PROBLEMS FOR QUANTUM SPEED-UP

E. V. Krishnamurthy
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E. V. Krishnamurthy: Computer Sciences Laboratory, Research School of Information Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 05, 587-600

Abstract: This paper explores the reasons as to why the quantum paradigm is not so easy to extend to all of the classical computational algorithms. We also explain the failure of programmability and scalability in quantum speed-up. Due to the presence of quantum entropy, quantum algorithm cannot obviate the curse of dimensionality encountered in solving many complex numerical and optimization problems. Finally, the stringent condition that quantum computers have to be interaction-free, leave them with little versatility and practical utility.

Keywords: Ackermann's function; decoherence free space; harmonic oscillator; number phase relation; primitives for quantum algorithms; programmability; quantum entropy; scalability (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004772

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