Quantum optical realization of arbitrary linear transformations allowing for loss and gain

التفاصيل البيبلوغرافية
العنوان: Quantum optical realization of arbitrary linear transformations allowing for loss and gain
المؤلفون: Tischler, Nora, Rockstuhl, Carsten, Słowik, Karolina
المصدر: Phys. Rev. X 8, 021017 (2018)
سنة النشر: 2017
المجموعة: Physics (Other)
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Physics - Optics
الوصف: Unitary transformations are routinely modeled and implemented in the field of quantum optics. In contrast, nonunitary transformations that can involve loss and gain require a different approach. In this theory 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. [Reck et al., 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.
Comment: We also provide a MATLAB code for numerically implementing the full decomposition on GitHub, at https://github.com/NoraTischler/QuantOpt-linear-transformation-decomposition
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevX.8.021017
URL الوصول: http://arxiv.org/abs/1712.01413
رقم الانضمام: edsarx.1712.01413
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevX.8.021017