Question: 2. Consider a 2-Cbit system, that is, {xy> x=0, 1; y = 0,1} (a) Verify the expression for the SWAP operator S10. S10=nino +

2. Consider a 2-Cbit system, that is, {xy> x=0, 1; y = 0,1} (a) Verify the expression for the SWAP operator S10. S10=nino + nio + (Xixo)(nio + ino) by applying S10 to each of the four possible Cbits. (b) Verify the expression for the cNOT operator C10 C10 = 1 + Xoni by applying C10 to each of the four possible Cbits. (c) Verify the identity Coi = SoC10S10 by applying this form of Co1 to each of the four possible Cbits.

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