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Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain

Tischler, N.; Rockstuhl, C. 1,2; Słowik, K.
1 Institut für Theoretische Festkörperphysik (TFP), Karlsruher Institut für Technologie (KIT)
2 Institut für Nanotechnologie (INT), Karlsruher Institut für Technologie (KIT)


Unitary transformations are routinely modeled and implemented in the field of quantum optics. In contrast, nonunitary transformations, which can involve loss and gain, require a different approach. In this work, we present a universal method to deal with nonunitary networks. An input to the method is an arbitrary linear transformation matrix of optical modes that does not need to adhere to bosonic commutation relations. The method constructs a transformation that includes the network of interest and accounts for full quantum optical effects related to loss and gain. Furthermore, through a decomposition in terms of simple building blocks, it provides a step-by-step implementation recipe, in a manner similar to the decomposition by Reck et al. [Experimental Realization of Any Discrete Unitary Operator, Phys. Rev. Lett. 73, 58 (1994)] but applicable to nonunitary transformations. Applications of the method include the implementation of positive-operator-valued measures and the design of probabilistic optical quantum information protocols.

Verlagsausgabe §
DOI: 10.5445/IR/1000082360
Veröffentlicht am 24.04.2018
DOI: 10.1103/PhysRevX.8.021017
Zitationen: 33
Web of Science
Zitationen: 28
Zitationen: 36
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Nanotechnologie (INT)
Institut für Theoretische Festkörperphysik (TFP)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 04.2018
Sprache Englisch
Identifikator ISSN: 2160-3308
KITopen-ID: 1000082360
HGF-Programm 43.23.01 (POF III, LK 01) Advanced Optical Lithography+Microscopy
Erschienen in Physical review / X
Verlag American Physical Society (APS)
Band 8
Heft 2
Seiten 021017
Nachgewiesen in Scopus
Web of Science
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