Lorentz invariants of pure three-qubit states
A R Usha Devi, Sudha, H Akshata Shenoy, H S Karthik, B N Karthik
TL;DR
This paper develops Lorentz invariant quantities for pure three-qubit states, linking local unitary invariants like concurrences and three-tangle with Lorentz invariants of two-qubit reductions, enhancing understanding of quantum entanglement.
Contribution
It introduces a new mathematical framework for Lorentz invariants of three-qubit states, connecting them with existing local unitary invariants.
Findings
Constructed Lorentz invariants for three-qubit states
Established a connection between LU invariants and Lorentz invariants
Provides a new perspective on quantum entanglement measures
Abstract
Extending the mathematical framework of Phys. Rev. A 102, 052419 (2020) we construct Lorentz invariant quantities of pure three-qubit states. This method serves as a bridge between the well-known local unitary (LU) invariants viz. concurrences and three-tangle of an arbitrary three-qubit pure state and the Lorentz invariants of its reduced two-qubit systems.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture