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Measurability of the polynomial invariant of degree 2 for even-N qubit states

  • 01-08-2019
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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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Title
Measurability of the polynomial invariant of degree 2 for even-N qubit states
Authors
Ahmad Heshmati
Marziyeh Yahyavi
Naser Karimi
Mohammad Ali Jafarizadeh
Payman Mahmoudi
Publication date
01-08-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2356-9
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