## Information Geometrical Analysis of Additivity of Optical Quantum Channels |

Journal of Optical Communications and Networking, Vol. 3, Issue 1, pp. 48-55 (2011)

http://dx.doi.org/10.1364/JOCN.3.000048

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### Abstract

The additivity property of quantum channels is still an open question and an exciting subject of current research. There are some nonunital channels for which strict additivity is known, although the general rule for nonunital quantum channels is still not proven. We analyze the additivity of the amplitude damping channel, which is an important channel in physical implementations and optical communications. The effect of amplitude damping has great importance in optical communications, since this channel model describes energy dissipation. We show an efficient information computational geometric method to analyze the additivity property of the amplitude damping quantum channel, using quantum Delaunay tessellation on the Bloch ball and quantum relative entropy as a distance measure.

© 2010 Optical Society of America

**OCIS Codes**

(200.3050) Optics in computing : Information processing

(270.5565) Quantum optics : Quantum communications

**ToC Category:**

Research Papers

**History**

Original Manuscript: June 24, 2010

Revised Manuscript: October 10, 2010

Manuscript Accepted: October 12, 2010

Published: December 20, 2010

**Citation**

Laszlo Gyongyosi and Sandor Imre, "Information Geometrical Analysis of Additivity of Optical Quantum Channels," J. Opt. Commun. Netw. **3**, 48-55 (2011)

http://www.opticsinfobase.org/jocn/abstract.cfm?URI=jocn-3-1-48

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