Optimal purification of thermal graph states

Details Optimal purification of thermal graph states Optimal purification of thermal graph states

2006-06-21

arxiv.org/abs/quant-ph/0606177v2

New J. Phys. 8 (2006) 147

Physics

Quantum Physics

5 pages, 4 figures v2: published version

Scientific paper

10.1088/1367-2630/8/8/147

In this paper, a purification protocol is presented and its performance is proven to be optimal when applied to a particular subset of graph states that are subject to local Z-noise. Such mixed states can be produced by bringing a system into thermal equilibrium, when it is described by a Hamiltonian which has a particular graph state as its unique ground state. From this protocol, we derive the exact value of the critical temperature above which purification is impossible, as well as the related optimal purification rates. A possible simulation of graph Hamiltonians is proposed, which requires only bipartite interactions and local magnetic fields, enabling the tuning of the system temperature.

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