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Nature Photonics

How many bits can a photon carry?

David F. P. Pile

Published Dec 22, 2011• 11 citations
Publisher
DOI
10.1038/nphoton.2011.330

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In the beginning was the photon, and the photon was with information. Theoretically speaking, a photon can travel arbitrarily long before it enters into a detector, which then clicks. How much information can a photon carry? We study a bipartite asymmetric protocol as the extension of that proposed by Del Santo and Dakic. Suppose that Alice and Bob are distant from each other and each of them has an nnn-bit string. They are tasked to exchange the information of their local n-bit strings with each other, using only a single photon during the communication. It has been shown that the superposition of different spatial locations in a Mach-Zehnder (MZ) interferometer enables bipartite local encodings. We prove that, after the photon's travelling through a cascade of nnn-level MZ interferometers in our protocol, the one of Alice or Bob whose detector clicks can access the other's full information of nnn-bit string, while the other can gain one-bit of information. That is, the wave-particle duality makes two-way signaling possible, and a single photon can carry infinite information as nnn goes infinite.
Theoretically speaking, a photon can travel arbitrarily long before it enters into a detector, resulting in a click. How much information can a photon carry? We study a bipartite asymmetric ``two-way signaling'' protocol as an extension of that proposed by Del Santo and Daki\ifmmode \acute{c}\else \'{c}\fi{}. Suppose that Alice and Bob are distant from each other and each of them has an nnn-bit string. They are tasked to exchange the information of their local nnn-bit strings with each other, using only a single photon during the communication. It has been shown that the superposition of different spatial locations in a Mach-Zehnder (MZ) interferometer enables bipartite local encodings. We show that, after the travel of a photon through a cascade of nnn-level MZ interferometers in our protocol, the one of Alice and Bob whose detector clicks can access the other's full information of the nnn-bit string, while the other can gain one bit of information. That is, the wave-particle duality makes two-way signaling possible, and a single photon can carry an arbitrarily large (but finite) amount of information.