## Relativistically invariant photonic wave packets |

JOSA B, Vol. 28, Issue 4, pp. 727-736 (2011)

http://dx.doi.org/10.1364/JOSAB.28.000727

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### Abstract

We present a photonic wave packet construction that is immune to the decoherence effects induced by the action of the Lorentz group. The amplitudes of a pure quantum state representing the wave packet remain invariant, irrespective of the reference frame into which the wave packet has been transformed. Transmitted information is encoded in the helicity degrees of freedom of two correlated momentum modes. The helicity encoding is considered to be particularly suitable for free-space communication. The integral part of the story is information retrieval on the receiver’s side. We employed probably the simplest possible helicity (polarization) projection measurement originally studied by Peres and Terno. Remarkably, the same conditions ensuring the invariance of the wave packet also guarantee perfect distinguishability in the process of measuring the helicity.

© 2011 Optical Society of America

**OCIS Codes**

(270.5580) Quantum optics : Quantum electrodynamics

(350.5030) Other areas of optics : Phase

(350.5720) Other areas of optics : Relativity

(270.5565) Quantum optics : Quantum communications

(270.5585) Quantum optics : Quantum information and processing

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: November 4, 2010

Revised Manuscript: December 3, 2010

Manuscript Accepted: December 13, 2010

Published: March 14, 2011

**Citation**

Kamil Brádler, "Relativistically invariant photonic wave packets," J. Opt. Soc. Am. B **28**, 727-736 (2011)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-4-727

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