Researchers create icopical framed nodes to encode information

In the First World, in collaboration with Israeli scientists, researchers at the University of Tattva were able to create icicle-framed tumors in the laboratory that could potentially be applied in modern technology. Their work paves the way for new methods of distributing secret cryptographic keys – to encrypt and decrypt data, to ensure secure communication, and to protect private information. The group recently published their findings Nature Communications.

“This is fundamentally important, especially from a topology-centric perspective, as framed nodes provide a platform for topological quantum calculations,” said Ibrahim Karimi, senior author, Canada Research Chairman at Structured Light at the University of Ottawa.

“In addition, we have used these non-trivial optical structures as information carriers and developed security protocols for classical communication where information is contained in these framed nodes.”

Concept

Researchers suggest a simple-manual lesson to help us better understand framed knots, the three-dimensional objects that can be described as surfaces.

“Take a narrow strip of paper first and try to make a knot,” said first author Hugo Laroque, an alumnus of O Tova and current Ph.D. Student at MIT.

“The resulting object is known as a framed knot and has very interesting and important mathematical features.”

The group tried to achieve the same result but inside the optical beam, which presented a higher level of difficulty. After a few attempts (and knots that looked like knotted strings), the group came up with what they were looking for: a knitted ribbon structure that is controversial for framed knots.

“To add to this ribbon, our group relied on beam shaping techniques that work with light veterinary manipulation.” By modifying the c-direction of the light field with an “unframed” optical node, we were able to “gluing” the lines detected by these oscillating fields together and assign a later frame. “

According to researchers, structured light beams are being widely used to encode and distribute information.

“So far, these applications have been limited to physical quantities, which can be validated by observing the beam at a given position,” said Dr. Alessio de Eriqueco, a Far Tova Posted Control Fellow and co-author of the study. “

“Our work shows that the number of twists in the ribbon approach, in conjunction with the main number factor, can be used to represent the so-called” braid “of the knot.

“The structural features of these objects can be used to refer to quantum information processing programs,” Hugo LaRock added. “In a situation where you want to keep this program secret while spreading it between different parties, you will need a means of encrypting this” braid “and deciphering it later. Our work addresses this issue by proposing to use our fractional framed knot.” An encryption object budget for these programs that can be retrieved later by the braid method which we also introduced. “

“This is the first time these complex 3-D formats have been used to develop new methods for the distribution of secret cryptographic keys. Which was not considered until now for cryptographic protocols. “

Genesis

The idea behind the project emerged in 2018, during a discussion with Israeli researchers at a scientific meeting in Crete, Greece.

Scientists from Ben-Gurion University in the Negev and Bar-Ilan University in Israel developed the Prime Number Encoding Protocol.

The project then crossed the Mediterranean Sea and the Atlantic Ocean before being completed in Dr. Karim.Krimi’s lab, located in the Advanced Research Complex at the University of Ottawa. It was there that the experimental process was developed and carried out. The resulting data was then analyzed, and the braid structure was racked by a specially designed program.

Applications

“Current technologies, with high accuracy, show the variability of lighter beams, such as intensity, phase, wavelength and polarization variations, giving them the potential to be manipulated,” said Hugo LaRock. “It allows encoding and decoding information with all optical methods. Quantum and classical cryptographic protocols are designed to exploit different degrees of this freedom.”

“Our work paves the way for the use of more complex topological structures hidden in the propagation of laser beams for the distribution of secret cryptographic keys.”

“In addition, the experimental and theoretical techniques we have developed can help find new experimental approaches to topological quantum computing, which promise to surpass noise-related issues in current quantum computing technologies,” said Dr. Ibrahim Karimi added.

The paper “Optical Frame Nodes as Information Carriers” was recently published. Nature Communications.