By Wim van Dam, Igor E. Shparlinski (auth.), Yasuhito Kawano, Michele Mosca (eds.)
This publication constitutes the completely refereed post-workshop lawsuits of the 3rd Workshop on idea of Quantum Computation, communique, and Cryptography, TQC 2008, held in Tokyo, Japan, in January/February 2008.
The 10 revised complete papers offered have been conscientiously chosen in the course of rounds of reviewing and development. The papers current present unique examine and concentrate on theoretical features of quantum computation, quantum communique, and quantum cryptography, that are a part of a bigger interdisciplinary box that casts details technology in a quantum mechanical framework.
Read or Download Theory of Quantum Computation, Communication, and Cryptography: Third Workshop, TQC 2008 Tokyo, Japan, January 30 - February 1, 2008. Revised Selected Papers PDF
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Additional info for Theory of Quantum Computation, Communication, and Cryptography: Third Workshop, TQC 2008 Tokyo, Japan, January 30 - February 1, 2008. Revised Selected Papers
Phase map decompositions for unitaries (2006) arXiv:quant-ph/0603266 13. : The measurement calculus. J. ACM 54(8) (2007) arXiv:quant-ph/0412135 14. : Parsimonious and robust realizations of unitary maps in the one-way model. Physical Review A 72(064301) (2005) arXiv:quant-ph/0411071 15. 2670 16. : Classical and quantum computation. Graduate Texts in Mathematics 47 (2002) Quadratic Form Expansions for Unitaries 45 17. : An extremal result for geometries in the one-way measurement model. Quantum Information and Computation 8(5), 430–437 (2008) arXiv:quantph/0702229 18.
McGraw-Hill, New York (1965) 5. : Techniques and Application of Path Integration. Wiley-Interscience, New York (1981) 6. : Determinism in the one-way model. Physical Review A 74(052310) (2006) arXiv:quant-ph/0506062 7. : One-way Quantum Computation — a tutorial introduction. arXiv:quant-ph/0603226 (2006) 8. : Generalized flow and determinism in measurement-based quantum computation. New J. Physics 9, 250 (2007) arXiv:quantph/0702212 9. : Quantum computing and polynomial equations over Z2 . Quantum Information & Computation 5 (2), 102–112 (2004) arXiv:quant-ph/0408129 10.
An algorithm of Aaronson and Gottesman  can produce a circuit of size O(n2 / log n) in classical deterministic time O(n3 / log n) for a Clifford group operation U acting on n qubits, from a description of how U transforms Pauli operators by conjugation. By converting the circuit into a measurement-based algorithm, and performing the graph transformations of  to remove auxiliary qubits, we may obtain a pattern of at most 3n qubits7 in time O(n4 / log n). Building on the results of , we show how to classically compute such a minimal pattern in time O(n3 / log n) by solving the MPI for a quadratic form expansion for U .