General protocol for measuring quadratic polynomials for optional pure N-qubit state

Document Type : Research Paper

Authors

1 Assistant Professor, Department of Basic Sciences, Farhangian University, Tehran, Iran

2 Department of Theoretical Physics and Astrophysics, Faculty of Physics, Tabriz University, Tabriz, Iran.

Abstract

One of the deep and intelligent computational methods for classifying a specific quantity is the use of the concept of machine learning. In this paper, we classify paired N-qubit quantum states using a quadratic polynomial invariant as a measure of entanglement. We first propose a general protocol for measuring polynomials of degree 2 of a pure N-qubit state of arbitrary pair. Then, based on machine learning techniques, using the integration of classical neural networks and quantum computations, we construct a non-zero-order polynomial classifier of zero or non-zero degrees, even if the input pattern is incomplete. Given the equality of the criterion of true polynomial entanglement and polynomial inequality of degree 2 for the state X, we consider the GHZ state as the special state of X and show that zero of the polynomial inversion of degree 2 indicates that the state The object is completely detachable and belongs to the class label "0", otherwise the state is intertwined and belongs to the class "1" label

Keywords

Research in Science Education
Volume 8, Issue 28
December 2022
Pages 15-24

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