INTEGRABILITY, ENTROPY AND QUANTUM COMPUTATION

Author:

KRISHNAMURTHY E. V.1

Affiliation:

1. Computer Sciences Laboratory, Research School of Information Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. CONTROLLING THE QUANTUM COMPUTATIONAL SPEED;International Journal of Modern Physics B;2008-09-30

2. MAPPING, PROGRAMMABILITY AND SCALABILITY OF PROBLEMS FOR QUANTUM SPEED-UP;International Journal of Modern Physics C;2003-06

3. Problems and Prospects for Quantum Computational Speed-up;Lecture Notes in Computer Science;2003

4. QUANTUM FIELD THEORY AND COMPUTATIONAL PARADIGMS;International Journal of Modern Physics C;2001-10

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