Theory of Quantum Computation, Communication, and Cryptography

1. Front Matter

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2. Classical and Quantum Algorithms for Exponential Congruences

   • Wim van Dam, Igor E. Shparlinski

   Pages 1-10

3. Quantum Algorithms for Evaluating Min-Max Trees

   • Richard Cleve, Dmitry Gavinsky, D. L. Yonge-Mallo

   Pages 11-15

4. Irreversibility of Entanglement Loss

   • Francesco Buscemi

   Pages 16-28

5. Quadratic Form Expansions for Unitaries

   • Niel de Beaudrap, Vincent Danos, Elham Kashefi, Martin Roetteler

   Pages 29-46

6. Improved Constructions of Quantum Automata

   • Andris Ambainis, Nikolajs Nahimovs

   Pages 47-56

7. An Application of the Deutsch-Jozsa Algorithm to Formal Languages and the Word Problem in Groups

   • Michael Batty, Andrea Casaccino, Andrew J. Duncan, Sarah Rees, Simone Severini

   Pages 57-69

8. An Elementary Optical Gate for Expanding Symmetrically Shared Entanglement

   • Toshiyuki Tashima, Şahin Kaya Özdemir, Takashi Yamamoto, Masato Koashi, Nobuyuki Imoto

   Pages 70-82

9. Security Bounds for Quantum Cryptography with Finite Resources

   • Valerio Scarani, Renato Renner

   Pages 83-95

10. On the Design and Optimization of a Quantum Polynomial-Time Attack on Elliptic Curve Cryptography

    • Donny Cheung, Dmitri Maslov, Jimson Mathew, Dhiraj K. Pradhan

    Pages 96-104

11. Architecture of a Quantum Multicomputer Implementing Shor’s Algorithm

    • Rodney Van Meter, W. J. Munro, Kae Nemoto

    Pages 105-114

12. Back Matter

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This book constitutes the thoroughly refereed post-workshop proceedings of the Third Workshop on Theory of Quantum Computation, Communication, and Cryptography, TQC 2008, held in Tokyo, Japan, in January/February 2008. The 10 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers present current original research and focus on theoretical aspects of quantum computation, quantum communication, and quantum cryptography, which are part of a larger interdisciplinary field that casts information science in a quantum mechanical framework.

• communication
• completely positive maps
• cryptography
• decoherence
• distributed quantum computation
• entanglement theory
• fault-tolerant quantum computing
• information
• quantum
• quantum algorithms
• quantum coding theory
• quantum communication
• quantum complexity theory
• quantum computation models
• quantum cryptography
• algorithm analysis and problem complexity

• NTT Communication Science Laboratories, Kanagawa Pref., Japan

  Yasuhito Kawano

• Institute for Quantum Computing, University of Waterloo, Waterloo, Canada

  Michele Mosca

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