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 n 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 O(root n). This provides a physically plausible method for constructing and initializing a topological quantum memory. RI Lidar, Daniel/A-5871-2008

Adiabatic preparation of topological order

Hamma A;
2008

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 n 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 O(root n). This provides a physically plausible method for constructing and initializing a topological quantum memory. RI Lidar, Daniel/A-5871-2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/871266
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