By Sandor Imre, Laszlo Gyongyosi
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 skill 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 safety and privateness (pages 325–361):
Chapter nine Quantum verbal exchange 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
Classically speaking the total amount of information contained by the subsystems equals the information located in the joint system. The negative property of conditional entropy S(A|B) can be demonstrated with an entangled state, since in this case, the joint quantum entropy of the joint state is less than the sum of the von Neumann entropies of its individual components. Again an illustration, for a pure entangled state, S(ρAB) = 0, while S(ρA) = S(ρB) = 1 since the two qubits are in maximally mixed 12 I state.
Hence it is not a true distance—it measures a pseudodistance. In the classical interpretation, the relative entropy function between probability distributions of random variables A and B gives us the expected number of extra bits required to code A, when using a code based on B—rather than using a code based on A. Here, B represents an approximation of A. Since the relative entropy function is not symmetric, the “distance” between A and B is not necessarily the same as the “informational distance” from B to A.
98) i where λi are the eigenvalues of ρ. 99) i where we used the fact that 〈ψi|ψi〉 = 1. 96). As we have seen in this example, the von Neumann entropy that can be extracted from a density matrix containing orthogonal pure states is just the same as the Shannon entropy of a classical bit. 1. 2 Important Properties of the von Neumann Entropy If we apply a unitary transformation U to a density matrix ρ, the transformation does not change the von Neumann entropy of the quantum system S(ρ) = S (UρU † ) .
Advanced Quantum Communications: An Engineering Approach by Sandor Imre, Laszlo Gyongyosi