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arXiv · 1404.7445

Sequential generation of Polynomial Invariants and N-body non-local correlations

S. Shelly Sharma·N. K. Sharma
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Abstract

We report an inductive process that allows for a sequential construction of polynomial invariants of state coefficients for multipartite quantum states. The starting point can be a physically meaningful invariant of a smaller part of the system. The process is applied to construct a chain of invariants that quantify GHZ state like non-local N-way correlations in an N qubit pure state and the sum of N-way and (N-1)-way correlations. Analytic expressions for four and three-way correlation quantifiers for four qubits, as well as, five-way and four-way correlation quantifiers for a five qubit pure state are given.

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S. Shelly Sharma, N. K. Sharma. 2016-09-05. Sequential generation of Polynomial Invariants and N-body non-local correlations. https://doi.org/10.1007/s11128-016-1433-6

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