Quantum Entanglement Phase Transition in Werner State

TL;DR

This paper introduces an extended complexity measure for quantum states, successfully detecting phase transitions between entangled and separable Werner states and revealing links between complexity robustness and entanglement.

Contribution

It proposes a novel extension to computational mechanics for quantum state complexity quantification applicable to multi-qudit states.

Findings

Werner states exhibit a phase transition in entanglement properties.

Complexity measure distinguishes between entangled and separable states.

Robustness of quantum state complexity correlates with entanglement levels.

Abstract

An extension to computational mechanics complexity measure is proposed in order to tackle quantum states complexity quantification. The method is applicable to any $n-$partite state of qudits through some simple modifications. A Werner state was considered to test this approach. The results show that it undergoes a phase transition between entangled and separable versions of itself. Also, results suggest interplay between quantum state complexity robustness rise and entanglement. Finally, only via symbolic dynamics statistical analysis, the proposed method was able to distinguish separable and entangled dynamical structural differences.