8 jk jk jk i quantum computing 0

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Unformatted text preview: # 7 + + + + 8 G & # ' *! # * * ! * # + # 6 #5 /+ ! #. #; ' 7 ! *8/ . ", ' # *+ ' # # #; * :JK "JK ,JK I QUANTUM COMPUTING $ 0 4 ; * ! / ; * / 01* *&*/ 2 3 /0 < $ 1 $ ψ =α 0 +β 1 L 01* 4 601* ! 5 5 $ / # # ψ =α 0 +β 1 $ / J α ) MA β 0 |β|" |α|" 1 α + β =1 2 ! # 2 M Hilbert Hilbert space is a big place! - Carlton Caves $ # ' J JJ+ J + J+ # ! / $ $ ψ = α 00 + β 01 + γ 10 + δ 11 "! ,! J! "J ! ,J ! 4 I J"4 J4I :G2 JG, G4 I"4 E MMM J / ψ= 00 + 11 2 ; ! ! J J / ! < =- B ψ ≠α ⊗β 78* 79 8 78* 78* & & & NOT & J J α 0 +β 1 9 ' X= X 01 10 α β = β α α 1 +β 0 ' Any unitary matrix U will produce a quantum gate! unitary Z= 1 0 α 0 +β 1 0 −1 / α 0 +β 1 - * < J J α 111 2 1 −1 0 +1 2 +β 0 −1 2 <78* & & &72 < & J J H= ;' &72 &a...
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This document was uploaded on 04/05/2014.

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