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
n-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
n-level MZ interferometers in our protocol, the one of Alice or Bob whose detector clicks can access the other's full information of
n-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
n 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
n-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 show that, after the travel of a photon through a cascade of
n-level MZ interferometers in our protocol, the one of Alice and Bob whose detector clicks can access the other's full information of the
n-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.