Measurements on two qubits and give correlated binary outcomes and with joint…

PHYSICS · Multi-part · Fermi University Physics · Quantum Information & Technology · Quantum information theory and communication · Quantum information theory and communication

Quantum Information and Technology, Ch Entropy and compression

Problem

Measurements on two qubits

A

and

B

give correlated binary outcomes

X

and

Y

with joint distribution

P(0,0) = 0.4

P(0,1) = 0.1

P(1,0) = 0.1

P(1,1) = 0.4

. ((a)) Compute the joint entropy

H(X,Y)

. ((b)) Compute the conditional entropy

H(X|Y)

. ((c)) Compute the mutual information

I(X:Y)

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