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Proceedings Paper

Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise
Author(s): Bhaskar Roy Bardhan; Jeffrey H. Shapiro
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Paper Abstract

Fiber-optic communications are moving to coherent detection in order to increase their spectral efficiency, i.e., their channel capacity per unit bandwidth. At power levels below the threshold for significant nonlinear effects, the channel model for such operation a linear time-invariant filter followed by additive Gaussian noise is one whose channel capacity is well known from Shannon's noisy channel coding theorem. The fiber channel, however, is really a bosonic channel, meaning that its ultimate classical information capacity must be determined from quantum-mechanical analysis, viz. from the Holevo-Schumacher-Westmoreland (HSW) theorem. Based on recent results establishing the HSW capacity of a linear (lossy or amplifying) channel with additive Gaussian noise, we provide a general continuous-time result, namely the HSW capacity of a linear time-invariant (LTI) bosonic channel with additive Gaussian noise arising from a thermal environment. In particular, we treat quasi-monochromatic communication under an average power constraint through a channel comprised of a stable LTI filter that may be attenuating at all frequencies or amplifying at some frequencies and attenuating at others. Phase-insensitive additive Gaussian noise-associated with the continuous-time Langevin noise operator needed to preserve free-field commutator brackets is included at the filter output. We compare the resulting spectral efficiencies with corresponding results for heterodyne and homodyne detection over the same channel to assess the increased spectral efficiency that might be realized with optimum quantum reception.

Paper Details

Date Published: 15 March 2016
PDF: 8 pages
Proc. SPIE 9739, Free-Space Laser Communication and Atmospheric Propagation XXVIII, 973910 (15 March 2016); doi: 10.1117/12.2213039
Show Author Affiliations
Bhaskar Roy Bardhan, Massachusetts Institute of Technology (United States)
Jeffrey H. Shapiro, Massachusetts Institute of Technology (United States)


Published in SPIE Proceedings Vol. 9739:
Free-Space Laser Communication and Atmospheric Propagation XXVIII
Hamid Hemmati; Don M. Boroson, Editor(s)

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