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Lecture notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

Study of the Quantum Channel between Earth and Space for Satellite Quantum Communications

Cristian Bonato, Andrea Tomaello, Vania Da Deppo, Giapiero Naletto, Paolo Villoresi

Published Jan 1, 2009• 2 citations
Publisher
DOI
10.1007/978-3-642-04260-7_5

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Extending quantum communication to space environments would enable us to perform fundamental experiments on quantum physics as well as applications of quantum information at planetary and interplanetary scales. Here, we report on the first experimental study of the conditions for the implementation of the single-photon exchange between a satellite and an Earth-based station. We built an experiment that mimics a single photon source on a satellite, exploiting the telescope at the Matera Laser Ranging Observatory of the Italian Space Agency to detect the transmitted photons. Weak laser pulses, emitted by the ground-based station, are directed toward a satellite equipped with cube-corner retroreflectors. These reflect a small portion of the pulse, with an average of less-than-one photon per pulse directed to our receiver, as required for faint-pulse quantum communication. We were able to detect returns from satellite Ajisai, a low-Earth orbit geodetic satellite, whose orbit has a perigee height of 1485 km.
The photonic Temporal Mode (TM) represents a possible candidate for the delivery of viable multidimensional quantum communications. However, relative to other multidimensional quantum information carriers such as the Orbital Angular Momentum (OAM), the TM has received less attention. Moreover, in the context of the emerging quantum internet and satellite-based quantum communications, the TM has received no attention. In this work, we remedy this situation by considering the traversal through the satellite-to-Earth channel of single photons encoded in TM space. Our results indicate that for anticipated atmospheric conditions the photonic TM offers a promising avenue for the delivery of high-throughput quantum communications from a satellite to a terrestrial receiver. In particular, we show how these modes can provide for improved multiplexing performance and superior quantum key distribution in the satellite-to-Earth channel, relative to OAM single-photon states. The levels of TM discrimination that guarantee this outcome are outlined and implications of our results for the emerging satellite-based quantum internet are discussed.
Abstract Quantum computing offers revolutionary solutions in the field of computer sciences, applying the opportunities of quantum physics which are incomparably richer than classical physics. Although quantum computers are going to be the tools of the far future, there are already a few algorithms to solve problems which are very difficult to handle with traditional computers. Perhaps the easiest example of a structure of a quantum system is a quantum channel. Typically, one is interested in some basis in the Hilbert space representing the input of a channel, which is entangled with a second Hilbert space representing the environment, and then another (possibly the same) basis for the first space at a later time. Free-space quantum key distribution (QKD)—over an optical path of about 30 cm—was first introduced in 1991, and recent advances have led to demonstrations. Indeed there are certain key distribution problems in this category for which free-space QKD has practical advantages (for example it is not practical to send a courier to a satellite). Quantum computing algorithms can be used to affirm our communication in several ways (open-air communication, satellite communications, satellite broadcast, satellite-satellite communication). We set up a free-space quantum-channel-model at the university and made several simulations. The main aim is to trace some adoptable algorithms in the communication between Earth and the satellite and also between satellites. This paper is a theoretical study to compare the simulation results of the three models.