A class of quantum gate entangler

TL;DR

This paper develops quantum gate entanglers tailored for different multipartite state classes, specifically W and GHZ, enabling targeted entanglement in multi-qubit systems with explicit constructions for four-qubit states.

Contribution

It introduces a method to construct quantum gate entanglers for W and GHZ classes, expanding the toolkit for entangling multipartite quantum states.

Findings

Quantum gate entanglers can produce W and GHZ class entanglement.

Explicit four-qubit entangler operators are provided.

Conditions for entanglement generation are identified.

Abstract

We construct quantum gate entanglers for different classes of multipartite states based on definition of W and GHZ concurrence classes. First, we review the basic construction of concurrence classes based on orthogonal complement of a positive operator valued measure (POVM) on quantum phase. Then, we construct quantum gates entanglers for different classes of multi-qubit states. In particular, we show that these operators can entangle multipartite state if they satisfy some conditions for W and GHZ classes of states. Finally, we explicitly give the W class and GHZ classes of quantum gate entanglers for four-qubit states.