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Russian Physics Journal

On quantum frequencies

V. V. Ul'yanov, V. D. Babenko

Published Sep 1, 1977• 0 citations
Publisher
DOI
10.1007/bf00897150

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Optical frequency conversion is an indispensable technology in modern science and engineering. In particular, recent demand in the field of quantum information processing requires an efficient frequency conversion of a single photon which has quantum information [1], [2] for realizing quantum internet to interconnect various quantum systems. In conventional experiments, such a quantum frequency conversion (QFC) assumes an input of photons at a single frequency mode. However, when we look at frequency-multiplexed quantum communication [3], [4], the QFC will need to accommodate the frequency-multiplexed manner such that it can convert only photons in a target frequency mode from densely frequency-multiplexed input to any desired frequency mode. For this purpose, we construct an optical frequency converter inside a cavity only for the converted mode, which we call optical frequency tweezers [5].
A frequency shifter of the photon is a key component for frequency-multiplexed high-capacity quantum communications and frequency-encoded quantum computation. Existed methods for shifting the frequency of a photon based on electro-optical or acousto-optical effect, however, suffer the limited frequency shift up to a few hundreds of GHz; furthermore, high-quality micro-wave electronics are required. The frequency of a photon can also be shifted with the frequency difference equal to the frequency of pump laser by using an all optical-wave-mixing approach, which is usually about tens of THz. So, there is a big frequency shifting gap between these methods. Here, we propose a new scheme of a quantum frequency shifter based on an all-optical-wave-mixing process, which can theoretically achieve a frequency shift ranging from GHz to a few THz, therefore bridging the gap. As a principle of poof, by using two pump beams in a three-wave mixing cascading process, a heralded single photon is frequency-shifted more than ±400 GHz, and the shift can be tuned continuously over broadband by changing the frequency difference between two pump lasers. In addition, high coincidence to accidence ratio between the shifted photons and the heralded photon indicates the preserve of quantum properties. The present quantum frequency shifter is in analog to an electro-optical based shifter, but with much broader tuning ability. Our all-optical quantum frequency shifter will become a fundamental building block for high-speed quantum communication networks and frequency-domain photonic quantum computation.
Methods of quantum key distribution include receiving a frequency bin photon at a location, selecting a frequency bin photon quantum key distribution measurement basis, with a quantum frequency processor, performing a measurement basis transformation on the received frequency bin photon so that the frequency bin photon is measurable in the selected frequency bin photon quantum key distribution measurement basis, and detecting the frequency bin photon in the selected quantum key distribution measurement basis and assigning a quantum key distribution key value based on the detection to a portion of a quantum key distribution key. Apparatus and methods for encoding, decoding, transmitting, and receiving frequency bin photons are disclosed.