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International Journal of Modern Physics B

QUANTIZED DETECTOR REPRESENTATION OF QUANTUM OPTICAL NETWORKS

George Jaroszkiewicz, Jason Ridgway-Taylor

Published May 20, 2006• 5 citations
Publisher

Abstract

We present a unified and algorithmic approach to the calculation of final state amplitudes for quantum optical networks of arbitrary size and complexity. We discuss networks consisting of coupled Mach-Zender interferometers, experiments conventionally described by the POVM approach, and two-photon interference experiments.
DOI
10.1142/s021797920603398x

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Quantum experiments are described in terms of time-dependent networks of quantum bits, each qubit representing an elementary information gateway. The emphasis is on the signal properties of apparatus rather than on systems under observation (SUOs), with the quantum states of the theory (the labstates) representing the observer's information about the state of their apparatus, rather than of any SUO. The formalism gives an efficient quantum register description related to the formalism of quantum computation. Experiments conventionally described by the PVM and POVM formalisms are treated in identical terms, the formalism providing an efficient modular approach to quantum optics experiments of arbitrary complexity.
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Interferometers are ubiquitous devices in optics, consisting of arrangements of totally reflective and semitransparent mirrors, fiber optics, detectors, etc . The smallest possible mirror consists of a single atom, and with recent advances in nanotechnology it is possible to fabricate them and couple them to transmission lines. This can be realized for example with superconducting qubits and superconducting coplanar waveguide resonators or with dipole emitters coupled to surface-plasmon nanowires. Based on a recent proposal [G S Paraoanu, Phys. Rev. A 82 , 023802 (2010)], here we give a brief overview of the two-atom Mach-Zender interferometer. Here we show that both the phase and the amplitude of the output field can be used to extract information about the phase difference between the two arms of the interferometer. Also, we point out that this device can be used as well in the reflection mode.
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