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Abstract: Many experiments in quantum information aim at creating graph states.Quantifying the purity of an experimentally achieved graph state could inprinciple be accomplished using full-state tomography. This method requires anumber of measurement settings growing exponentially with the number ofconstituents involved. Thus, full-state tomography becomes experimentallyinfeasible even for a moderate number of qubits.In this paper we present a method to estimate the purity of experimentallyachieved graph states with simple measurements. The observables we consider arethe stabilizers of the underlying graph. Then, we formulate the problem as:-What is the state with the least purity that is compatible with themeasurement data?- We solve this problem analytically and compare the obtainedbounds with results from full-state tomography for simulated data.



Autor: Harald Wunderlich, Martin B. Plenio

Fuente: https://arxiv.org/







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