C2QA Quantum Thursdays

"Topological quantum compiling – an introduction"

Presented by Layla Hormozi, BNL

Thursday, November 18, 2021, 12:00 pm — Videoconference / Virtual Event (see link below)

Topological quantum computers are hypothetical devices in which quantum information is stored in certain topologically-ordered states of matter and quantum computation is carried out by "braiding" the world-lines of quasiparticle excitations that obey non-Abelian statistics in specific patterns. Since the storage and manipulation of quantum information depends only on the topological (global) properties of the system, this method of quantum computing is (in principle) intrinsically fault-tolerant. I will review the basic properties of topological states and describe a general method for finding braiding patterns that correspond to a universal set of quantum gates on encoded topological qubits, based on quasiparticles that can be realized as excitations of certain fractional quantum Hall states.

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