Topological Quantum Computing

Leggett discusses the exciting developments in topological quantum computing, highlighting its potential to deepen our understanding of quantum information and many body systems. He reflects on the historical context of quantum information, noting initial assumptions about microscopic systems. The proposal for topological quantum computing offers a way to overcome challenges like decoherence by leveraging the entangled properties of many body systems. This approach unites traditional condensed metaphysics with quantum information, using fractional excitations to achieve quantum transformations.

Explain the concept of fractional excitations in many body systems and their relevance to quantum systems.

In what ways has the proposal for topological quantum computing improved our understanding of many body physics?