Entanglement on Two Bloch Spheres: Exploring Two-Qubit Stabilizer Group Structure
Stanislav Filatov, Marcis Auzinsh
TL;DR
This paper introduces a graphical method using two Bloch Spheres and stabilizer formalism to analyze two-qubit entanglement, revealing symmetries in maximally entangled states.
Contribution
It presents a novel graphical representation of two-qubit entanglement based on stabilizer groups and explores the symmetries of maximally entangled states.
Findings
Graphical representation derived from stabilizer groups
Identification of symmetries in maximally entangled states
Connection between density matrices and Bloch Sphere representations
Abstract
In this paper, we explore the graphical representation of two-qubit entanglement on two Bloch Spheres via stabilizer formalism. We relate the density matrix to the graphical representation on two Bloch Spheres by showing how both may be derived from the stabilizer group structure of the state. Then we use the representation to explore the symmetries present in maximally entangled states.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications