Sandor Imre, Laszlo Gyongyosi's Advanced Quantum Communications: An Engineering Approach PDF

By Sandor Imre, Laszlo Gyongyosi

ISBN-10: 1118002369

ISBN-13: 9781118002360

ISBN-10: 1118337468

ISBN-13: 9781118337462

Content material:
Chapter 1 advent (pages 1–10):
Chapter 2 creation to Quantum details thought (pages 11–64):
Chapter three The Classical Capacities of Quantum Channels (pages 65–125):
Chapter four The Quantum means of Quantum Channels (pages 126–155):
Chapter five Geometric Interpretation of Quantum Channels (pages 156–217):
Chapter 6 Additivity of Quantum Channel Capacities (pages 218–268):
Chapter 7 Superactivation of Quantum Channels (pages 269–324):
Chapter eight Quantum defense and privateness (pages 325–361):
Chapter nine Quantum communique Networks (pages 362–387):
Chapter 10 fresh advancements and destiny instructions (pages 388–412):

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Extra info for Advanced Quantum Communications: An Engineering Approach

Example text

1 The von Neumann Entropy of a Density Matrix of Orthogonal States As a result of the previous section, we can answer the question: How could we measure the information that is contained in a quantum bit? This question can be answered with the help of the von Neumann entropy function. Let us assume we have a quantum system ρ that contains orthogonal pure quantum states. For this purpose we compute the information that is contained in the quantum 0 +1 system ρ = p|+〉〈+|+(1 − p)|−〉〈−|, which has the two orthogonal basis states + = 2 0 −1 and − = 2 .

38) i =1 where bi* is the complex conjugate of probability amplitude bi, thus |bi|2 is the probability pi of measuring the quantum system |ψ〉 in the given basis state |bi〉, that is, 2 pi = bi . 38), the density matrix of quantum system |ψ〉 can be expressed as 2 2 ρ = b1 b1 b1 + b2 n = ∑b i b2 b2 + … + bn 2 bn bn n 2 bi bi = i =1 ∑p i bi bi . 40) i =1 This density matrix is a diagonal matrix with the probabilities in the diagonal entries  p1 0 ρ=   0 0 0 p2 0 0 0  . 42) l =1 where ∑ ln=1 pi = 1.

111) As we have also seen, in this case, we have S(ρA) = S(ρB). At the end of our tour of the properties of the quantum conditional entropy function, we can conclude that we have found a fundamental difference between the classical conditional entropy and the quantum conditional entropy, since the “quantum-version” could have a negative value. 5 Quantum Mutual Information In general, the mutual information I(·) measures the information correlation between random variable A and B. 112) that is, the quantum mutual information is always a non-negative function.

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Advanced Quantum Communications: An Engineering Approach by Sandor Imre, Laszlo Gyongyosi

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