Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31745
Title: On the response of quantum linear systems to single photon input fields
Authors: Zhang, G
James, MR
Keywords: Continuous mode single photon states
Gaussian states
Quantum linear systems
Issue Date: 2013
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on automatic control, 2013, v. 58, no. 5, p. 1221-1235 How to cite?
Journal: IEEE transactions on automatic control 
Abstract: The purpose of this paper is to extend linear systems and signals theory to include single photon quantum signals. We provide detailed results describing how quantum linear systems respond to multichannel single photon quantum signals. In particular, we characterize the class of states (which we call photon-Gaussian states) that result when multichannel photons are input to a quantum linear system. We show that this class of quantum states is preserved by quantum linear systems. Multichannel photon-Gaussian states are defined via the action of certain creation and annihilation operators on Gaussian states. Our results show how the output states are determined from the input states through a pair of transfer function relations. We also provide equations from which output signal intensities can be computed. Examples from quantum optics are provided to illustrate the results.
URI: http://hdl.handle.net/10397/31745
ISSN: 0018-9286
EISSN: 1558-2523
DOI: 10.1109/TAC.2012.2230816
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