Quantum invariants have emerged as powerful algebraic and numerical tools that encapsulate the subtleties of topological structures. By drawing on quantum group theory and the constructs of ...

Aaron Lauda has been exploring an area of mathematics that most physicists have seen little use for, wondering if it might have practical applications. In a twist even he didn’t expect, it turns out ...

Neglected no more: Aaron Lauda explaining the encoding scheme used to realize qubits in the collective state of a neglecton and two Ising anyons. (Courtesy: Gus Ruelas/USC) Quantum computers open the ...

Quantum computers have the potential to solve problems far beyond the reach of today's fastest supercomputers. But today's machines are notoriously fragile. The quantum bits, or "qubits," that store ...

When Michael Freedman joined Microsoft’s theoretical research group two decades ago, he was a renowned math genius known for his fundamental research into an obscure field of math called topology. His ...