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Publication - Dr Ashley Montanaro

    Optimal Verification of Entangled States with Local Measurements

    Citation

    Pallister, S, Linden, N & Montanaro, A, 2018, ‘Optimal Verification of Entangled States with Local Measurements’. Physical Review Letters, vol 120.

    Abstract

    Consider the task of verifying that a given quantum device, designed to produce a particular entangled state, does indeed produce that state. One natural approach would be to characterize the output state by quantum state tomography, or alternatively, to perform some kind of Bell test, tailored to the state of interest. We show here that neither approach is optimal among local verification strategies for 2-qubit states. We find the optimal strategy in this case and show that quadratically fewer total measurements are needed to verify to within a given fidelity than in published results for quantum state tomography, Bell test, or fidelity estimation protocols. We also give efficient verification protocols for any stabilizer state. Additionally, we show that requiring that the strategy be constructed from local, nonadaptive, and noncollective measurements only incurs a constant-factor penalty over a strategy without these restrictions.

    Full details in the University publications repository