Adiabatic Preparation of Topological Order
- 24 January 2008
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 100 (3), 030502
- https://doi.org/10.1103/physrevlett.100.030502
Abstract
Topological order characterizes those phases of matter that defy a description in terms of symmetry and cannot be distinguished in terms of local order parameters. Here we show that a system of spins forming a lattice on a Riemann surface can undergo a second order quantum phase transition between a spin-polarized phase and a string-net condensed phase. This is an example of a quantum phase transition between magnetic and topological order. We furthermore show how to prepare the topologically ordered phase through adiabatic evolution in a time that is upper bounded by . This provides a physically plausible method for constructing and initializing a topological quantum memory.
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