publication . Conference object . Part of book or chapter of book . 2007

control theoretical expression of quantum systems and lower bound of finite horizon quantum algorithms

Yanagisawa, Masahiro;
Open Access
  • Published: 01 Jul 2007 Journal: 2007 American Control Conference (issn: 0743-1619, Copyright policy)
  • Publisher: IEEE
  • Country: United States
Abstract
We provide a control theoretical method for a computational lower bound of quantum algorithms based on quantum walks of a finite time horizon. It is shown that given a quantum network, there exists a control theoretical expression of the quantum system and the transition probability of the quantum walk is related to a norm of the associated transfer function.
Subjects
free text keywords: Quantum operation, Quantum mechanics, Quantum capacity, Quantum network, Quantum computer, Quantum walk, Quantum error correction, Quantum algorithm, Quantum process, Mathematics
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