INTEGRABILITY, ENTROPY AND QUANTUM COMPUTATION

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), 1999, vol. 10, issue 07, 1205-1228

Abstract: The important requirements are stated for the success of quantum computation. These requirements involve coherent preserving Hamiltonians as well as exact integrability of the corresponding Feynman path integrals. Also we explain the role of metric entropy in dynamical evolutionary system and outline some of the open problems in the design of quantum computational systems. Finally, we observe that unless we understand quantum nondemolition measurements, quantum integrability, quantum chaos and the direction of time arrow, the quantum control and computational paradigms will remain elusive and the design of systems based on quantum dynamical evolution may not be feasible.

Keywords: Algorithmic complexity; Coherent state evolution; Dissipation; Exact solvability; Feynman path integrals; Integrability (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S012918319900098X

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