New invariants for entangled states
Roman V. Buniy, Thomas W. Kephart

TL;DR
This paper introduces new algebraic invariants that effectively classify and distinguish entangled quantum states across various systems, advancing the understanding of quantum entanglement.
Contribution
It presents novel algebraic invariants that enable complete classification of entangled states, including cases previously unresolved or only conjectured.
Findings
Complete entanglement classifications achieved for certain quantum systems
New algebraic invariants successfully distinguish different entangled states
Advances in understanding entanglement structures in qubits and higher spin systems
Abstract
We propose new algebraic invariants that distinguish and classify entangled states. Considering qubits as well as higher spin systems, we obtained complete entanglement classifications for cases that were either unsolved or only conjectured in the literature.
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