Measurement-Only Topological Quantum Computation

Abstract

We remove the need to physically transport computational anyons around each other from the implementation of computational gates in topological quantum computing. By using an anyonic analog of quantum state teleportation, we show how the braiding transformations used to generate computational gates may be produced through a series of topological charge measurements.

5 pages, 2 figures; v2: clarifying changes made to conform to the version published in PRL

References in corpus (11)

• Fault-tolerant quantum computation by anyons
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• A fault-tolerant one-way quantum computer
• Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
• Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
• Towards Universal Topological Quantum Computation in the $\nu =5/2$ Fractional Quantum Hall State
• The two-eigenvalue problem and density of Jones representation of braid groups
• On measurement-based quantum computation with the toric code states
• Introduction to Quantum Computation
• Decoherence of Anyonic Charge in Interferometry Measurements

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