About Factorization of Quantum States with Few Qubits

TL;DR

This paper investigates the conditions under which quantum states of two to four qubits can be factorized, providing analytical expressions to identify entangled states based on wave function coefficients and density matrix elements.

Contribution

It introduces new analytical formulas for characterizing entanglement in multi-qubit states, advancing understanding of quantum state factorization.

Findings

Derived conditions for factorization of 2-4 qubit states

Provided analytical expressions for entanglement characterization

Enhanced methods for analyzing quantum entanglement

Abstract

We study the factorization conditions of a wave function made up of states of two, three and four qubits and propose and analytical expression which can characterize entangled states in terms of the coefficients of the wave function and density matrix elements.