Calculation of quantum entanglement using a genetic algorithm

Abstract

Quantum entanglement is a multifaceted property that has attracted much attention, since it is used as the basis for such applications as quantum cryptography, quantum teleportation, and quantum computing. The calculation of quantum entanglement therefore has gained importance. As systems that use entanglement have evolved, the calculation of entanglement has become much more complex. A general method was developed for the calculation of entanglement for n-qubit or n-qudit system, based on the relative entropy of entanglement, and using a genetic algorithm technique. The method was tested on a two qubit system, for which there are some known points, and compared to exact calculations using the entanglement of formation and to another approximate method based on a quantum neural network. Advantages and disadvantages of the method and future work are discussed