Download e-book for kindle: Advanced Quantum Communications: An Engineering Approach by Sandor Imre, Laszlo Gyongyosi

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 advent 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 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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Additional info for Advanced Quantum Communications: An Engineering Approach

Sample text

89) Finally, if ρAB is a pure state, then S (ρ A ) = S (ρB ) . 5 Entropy of Quantum States S(ρ) takes its maximal value for the maximally mixed quantum states and S(ρ) is zero for pure states. 92) where in case of equality on the right hand side ρ = 1 d I. Although the von Neumann entropy has analogies with the classical Shannon entropy, it cannot be considered as the information gained by the identification of the quantum state, since a general state ρ cannot be fully identified, compared with classical systems, where a classical bit can be fully described.

Similarly, for independent subsystems {ρi} the density matrix of i the composite system is ⊗ ρi . i Having defined how to combine independent systems let us investigate the reverse direction. The state of a subsystem of a larger composite system can be expressed by the partial trace. 65) where 〈b| and |b〉 are the bra and ket vectors form an orthonormal basis of system B, while IA refers to the identity operation on the elements of system space A. 3 GEOMETRICAL INTERPRETATION OF THE DENSITY MATRICES While the wavefunction representation is the full physical description of a quantum system in the space-time, the tensor product of multiple copies of two-dimensional Hilbert spaces is its discrete version, with discrete finite-dimensional Hilbert spaces.

In conclusion, while in classical systems the Shannon entropy provides full information about the identification of the system state, the von Neumann entropy provides only a bound on the information obtainable from the system. Note that the classical and quantum entropies are equal if the quantum states are orthogonal pure states. Contrary to classical systems, a measurement on a quantum state can change its state, hence the von Neumann entropy of the state after the measurement will be less than or equal to the initial quantum entropy.

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

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