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

By Sandor Imre, Laszlo Gyongyosi

ISBN-10: 1118002369

ISBN-13: 9781118002360

ISBN-10: 1118337468

ISBN-13: 9781118337462

Content material:
Chapter 1 creation (pages 1–10):
Chapter 2 creation to Quantum info conception (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 safeguard and privateness (pages 325–361):
Chapter nine Quantum communique Networks (pages 362–387):
Chapter 10 contemporary advancements and destiny instructions (pages 388–412):

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Additional resources for Advanced Quantum Communications: An Engineering Approach

Sample text

This operator can be expressed as m Mm +1 = I − ∑M. 51) i i =1 Such Mm+1 can be always constructed if the states in { ψ n }n=1 are linearly independent. We note, we will omit listing operator Mm+1 in further parts of the book. The POVM measurement apparatus will be a key ingredient to distinguish quantum codewords with zero-error (see Chapter 3), and to reach the zero-error capacity of quantum channels. The POVM can be viewed as the most general formula from among any possible measurements in quantum mechanics.

67) The Bloch sphere is a very useful tool, since it makes it possible to describe various, physically realized one-qubit quantum systems, such as the photon polarization, spins, or the energy levels of an atom. Moreover, if we would like to compute the various channel capacities of the quantum channel, the geometrical expression of the channel capacity also can be represented by the Bloch sphere. Before we would introduce the geometrical calculation of the channel capacities, we have to start from the geometrical interpretation of density matrices.

Similarly to classical relative entropy, this quantity measures the distin­ guishability of the quantum states, and in practice it can be realized by POVM measurements. As we have seen, the relative entropy classically is a measure that quantifies how close a probability distribution p is to a model or candidate probability distri­ bution q. 120) i while the quantum relative entropy between quantum states ρ and σ is D ( ρ σ ) = Tr ( ρ log ( ρ )) − Tr ( ρ log (σ )) = Tr [ ρ ( log ( ρ ) − log (σ ))].

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


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