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Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors

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Abstract

We derive a general expression for standard tensor norm of N-body correlation tensors for N-qubit complete graph states. With the help of this expression, we formulate a separability criterion that identifies non-k-separability of a class of N-qubit complete graph states, including GHZ state. We illustrate the performance of our criterion by considering the N-qubit complete graph states added with colored product noise. We also demonstrate that few local measurement settings are sufficient to evaluate our criterion.

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Authors and Affiliations

  1. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli 620024, Tamilnadu, India

    N. Ananth & M. Senthilvelan

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  1. N. Ananth
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  2. M. Senthilvelan
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Correspondence to M. Senthilvelan.

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Ananth, N., Senthilvelan, M. Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors. Eur. Phys. J. D 70, 149 (2016). https://doi.org/10.1140/epjd/e2016-70056-2

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  • DOI: https://doi.org/10.1140/epjd/e2016-70056-2

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