A “new mathematical lens” can make science closer to quantum success; And it is the fault of blacks – a class of previously ignored particles.
QBits are extremely fragile; and interactions with the environment can easily disturb their quantum states. Its fragility is what is making difficult to build stable quantum computers.
A new study recently in Nature Communications showed that when paired with previously discarded mathematical elements, a Type of quasi-particle called an Ising Anyon could help to overcome this fragility.
The investigators named the revived components “neglectons”.
Ising Anyons exist only in two -dimensional systems. They are in the heart of topological quantum computing. This means that anyons store information not on particles themselves, but how they roll or intertwine in each other. This intertwining can codify and process information in ways that are much more resistant to environmental noise.
But there has been a greater limitation. “The only problem with Ising Anyons is that they are not universal. It’s like when you have a keyboard and it only has half the keys,” he explained, to, Aaron praiseProfessor of Physics and Mathematics at the University of Southern California.
This is where the forgotten particle enters. As Live Science details, the team revisited a class of theories called “Topological Quantum Field Theory Non-Semissimples”, used to study symmetry in mathematical objects.
The neglected pieces, reinterpreted as particles, were able to fill in the lack of Ising Anyons. The team showed that With only one neglecton added to the system, the particle becomes capable of universal computing only through intertwining.
THE IMPORTANCE OF ISING ANYONS
As lived in live science, to realize the importance of anyons, it is crucial to understand their behavior in two dimensions.
On the one hand, in three dimensions, particles like bosons and fermons can circulate around each other. But these circles can be broken, such as passing a wire over or under another. On the other hand, in two dimensions there is no “over” or “underneath”. This means that when Anyons move around each other, the paths cannot be derived, giving rise to a fundamentally new physics.
“The way of thinking about this is whether I start with a zero state and I involve it, it is in a zero state or any multiple of it? Or does it create a zero and one? I can mix them and create these overlaps I need to make quantum computing?”, Explained Lauda.
A Key with Ising Anyons is to be able to create overlapBecause these operations depend on the global form of the intertwining path, instead of accurate locations, they are naturally protected from many types of noise.
The discovery does not mean that we will have topological quantum computers tomorrow. But suggests that instead of inventing entirely new materials or exotic particles, Physicists may just need to look at family systems through a “new mathematical lens”.
