Abstract
Experimentally quantification of the entanglement measures due to some unphysical properties in their definition is a difficult and important problem in quantum information theory. In this paper, we show that for even N-partite pure states of qubits, the polynomial invariant of degree 2 as the measure of entanglement has a physical interpretation, since it is experimentally measurable by the local projective measurements. Then, we consider the special cases of even-N qubit rank 2 mixed state and show that the polynomial invariant of degree 2 can be written in terms of Wigner–Yanase information as a measure of quantum uncertainty of mixed states.
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Acknowledgements
This research has been supported by Tabriz University, Farhangian University of Tehran, Azarbaijan Shahid Madani University and Shabestar Branch Islamic Azad University.
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Heshmati, A., Yahyavi, M., Karimi, N. et al. Measurability of the polynomial invariant of degree 2 for even-N qubit states. Quantum Inf Process 18, 243 (2019). https://doi.org/10.1007/s11128-019-2356-9
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DOI: https://doi.org/10.1007/s11128-019-2356-9