Quantum Computing based on Tensor Products ... - Cinvestav

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Agenda 1 Abstract 2 Overview of the whole course 3 References 4 Hilbert Spaces 5 Function Evaluation 6 Deutsch-Jozsa’s Algorithm 7 <strong>Quantum</strong> Computation of the Discrete Fourier Transform 8 Shor Algorithm 9 <strong>Quantum</strong> Cryptography 10 Communication Complexity Morales-Luna (CINVESTAV) QC <strong>based</strong> on Tensor Products 5-th Int. WS App. Cat. Th. 8 / 38
General references <strong>Quantum</strong> <strong>Computing</strong> D. Bouwmeester, A. K. Ekert, and A. Zeilinger. The Physics of <strong>Quantum</strong> Information: <strong>Quantum</strong> Cryptography, <strong>Quantum</strong> Teleportation, <strong>Quantum</strong> Computation. Springer, Berlin, 2000. G. Brassard. <strong>Quantum</strong> communication complexity (a survey), 2001. G. Brassard, I. Chuang, S. Lloyds, and C. Monroe. <strong>Quantum</strong> computing. Proc. Natl. Acad. Sci. USA, 95:11032–11033, Sept. 1998. M. Nielsen and I. Chuang. <strong>Quantum</strong> Computation and <strong>Quantum</strong> Information. Cambridge University Press, Cambridge, 2000. Physics and Math R. Abraham, J. E. Marsden, and T. Ratiu. Manifolds, Tensor Analysis, and Applications. Springer-Verlag, Berlin, 1998. J. S. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1:195, 1964. S. Lang. Algebra, 4-th Edition. Springer-Verlag, Berlin, 2004. Morales-Luna (CINVESTAV) QC <strong>based</strong> on Tensor Products 5-th Int. WS App. Cat. Th. 9 / 38
Page 1 and 2: Quantum Co
Page 3 and 4: Agenda 1 Abstract 2 Overview of the
Page 7: 5 Shor Algorithm 1 A Short Refreshm
Page 11 and 12: Algorithmics and Crypto T. Hogg. So
Page 15 and 16: Geometrical properties: m-dimension
Page 17 and 18: Qubits and Quregisters Spaces and b
Page 25 and 26: If n = 2 ν , Hν = C n , and by id
Page 29 and 30: Biggest problem Calculate the order
Page 31 and 32: Quantum Cryptograp
Page 35 and 36: Identity Checking Exact and obvious
Page 37 and 38: Deutsch-Josza Relation Pseudotelepa

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