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Optics Letters

Theory of the effect of geomagnetic field on plug-and-play schemes for fiber-based quantum key distribution systems

Antonio Mecozzi, Cristian Antonelli, Misha Brodsky

Published Jun 23, 2008• 7 citations
Publisher

Abstract

We quantify the instantaneous polarization rotation of the optical field by the Faraday birefringence in a long spun-fiber link terminated by a Faraday mirror. Obtained analytical results agrees well with computer simulations and are consistent with previous experimental findings.
DOI
10.1364/ol.33.001476

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We present a time-multiplexed interferometer based on Faraday mirrors, and apply it to quantum key distribution. The interfering pulses follow exactly the same spatial path, ensuring very high stability and self balancing. Use of Faraday mirrors compensates automatically any birefringence effects and polarization dependent losses in the transmitting fiber. First experimental results show a fringe visibility of 0.9984 for a 23km-long interferometer, based on installed telecom fibers. In so-called private-key cryptographic systems, secure transmission through unprotected channels rely on the exchange of secret keys, known only to the sender, Alice, and the receiver, Bob. Quantum cryptography (QC) relies on the properties of quantum mechanics to obtain a provably secure key distribution [1, 2, 3, 4]. Most exisiting implementations rely on either the polarization [2, 5, 6] or the phase [7, 8, 9, 10] of very weak pulses of light as information carrier. To date, the longest transmission spans were obtained in optical fibers, at a wavelength of 1300 nm [6, 9, 10]. The main difficulty with polarization-based systems is the need to keep stable polarizations over distances of tens of kilometers, in standard telecom cables. Indeed, due to the birefringence of the fibers and the effect of the environment, the output polarization fluctuates randomly. Recent experiments [6]