Elements of Quantum Mechanics

  • Gianfranco CariolaroEmail author
Part of the Signals and Communication Technology book series (SCT)


Quantum Mechanics will be formulated assuming four postulates: Postulate 1: gives the universal model of any physical system: a Hilbert space on the field of complex numbers. Postulate 2: models the temporal evolution of a closed physical system that is not influenced by other physical systems. Postulate 3: regards the information that can be extracted (through a quantum measurement) from a quantum system at a given time instant. Postulate 4: formalizes the interaction among physical systems through a combination of multiple Hilbert spaces into a single Hilbert space. The mathematical tool of this formulation is given by the tensor product. Considering that our final objective is Quantum Communications, some aspects of Quantum Mechanics will not be further expanded, such as the consequences of Postulate 2 on the evolution of a quantum system, while other points, in particular quantum measurements (Postulate 3) will be exhaustively investigated.


Hilbert Space Quantum Mechanics Quantum System Coherent State Pure State 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Information EngineeringUniversity of PadovaPadovaItaly

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