Quantum Computing based on Tensor Products ... - Cinvestav

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Measurement Principle In current state v = (vi1) i
Qubits and Quregisters Spaces and basis H1 = C 2 ; Hn = Hn−1 ⊗ H1 dim(Hn) = 2 n e0 = [1 0] T and e1 = [0 1] T basis in H1. (eεn−1···ε1ε0 ) εn−1,...,ε1,ε0∈{0,1} basis in Hn. Qubits. z ∈ E2 unit sphere in H1. Quregister. z1 ⊗ · · · ⊗ zn−1 ⇐= zi, i ∈ N, qubits z1 ⊗ · · · ⊗ zn−1 ∈ E2n ⊂ Hn Morales-Luna (CINVESTAV) QC <strong>based</strong> on Tensor Products 5-th Int. WS App. Cat. Th. 17 / 38
Page 1 and 2: Quantum Co
Page 3 and 4: Agenda 1 Abstract 2 Overview of the
Page 7 and 8: 5 Shor Algorithm 1 A Short Refreshm
Page 9 and 10: General references Quantum<
Page 11 and 12: Algorithmics and Crypto T. Hogg. So
Page 15: Geometrical properties: m-dimension
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

Quantum Computing based on Tensor Products ... - Cinvestav

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