Measuring entanglement of a rank-2 mixed state prepared on a quantum computer

Abstract

We study the entanglement between a certain qubit and the remaining system in rank- 2 mixed states prepared on the quantum computer. The protocol, which we propose for this purpose, is based on the relation of geometric measure of entanglement with correlations between qubits. As a special case, we consider a two-qubit rank-2 mixed state and find the relation of concurrence with the geometric measure of entanglement. On the ibmq-melbourne quantum computer we measure the geometric measure of entanglement in the cases of 2- and 4-qubit mixed quantum states which consist of Schrödinger cat states. We study the dependence of the value of entanglement on the parameter which defines the weight of pure states. Finally, we determine the concurrence of 2-qubit mixed state.

13 pages, 6 figures

References in corpus (9)

• Experimental quantum teleportation
• Coupling Superconducting Qubits via a Cavity Bus
• 14-qubit entanglement: creation and coherence
• Resource-Aware Quantum Programming with General Recursion and Quantum Control
• Quantum computing and the entanglement frontier
• Entanglement and the Lower Bounds on the Speed of Quantum Evolution
• Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer
• Detecting entanglement by the mean value of spin on a quantum computer
• Preparation and study of the entanglement of the Schrödinger cat state on the ibmq-melbourne quantum computer

Cited by in corpus (7)

• Geometric measure of entanglement of multi-qubit graph states and its detection on a quantum computer
• Experimental QND measurements of complementarity on two-qubit states with IonQ and IBM Q quantum computers
• Entanglement of multi-qubit states representing directed networks and its detection with quantum computing
• Probing mean values and correlations of high-spin systems on a quantum computer
• Preparation of two-qubit entangled states on a spin-1/2 Ising-Heisenberg diamond spin cluster by controlling the measurement
• Studies of properties of bipartite graphs with quantum programming
• Measuring distance between quantum states on a quantum computer