Abstract
Field-theoretical methods are important tools in quantum information. Photons – the quanta of electromagnetic field – are the most frequently used carriers of quantum information. Laser pulses described by coherent states of electromagnetic field are the typical means of control for essentially all implementations of quantum information processing. On the other hand, systems of interacting fermions in solids provide promising implementations of quantum information processing. Last but not least quantum fields are natural models of reservoirs producing noise, always present in real systems. We restrict ourselves mainly to bosonic fields and begin with the simplest example of a single degree of freedom – a quantum harmonic oscillator. We describe it in terms of creation and annihilation operators, define evolution in the Heisenberg picture, introduce unitary Weyl operators and coherent states with their statistics and dynamics.
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