Correlation constraints and the Bloch geometry of two qubits

Morelli, Simon and Eltschka, Christopher and Huber, Marcus and Siewert, Jens (2024) Correlation constraints and the Bloch geometry of two qubits. PHYSICAL REVIEW A, 109 (1): 012423. ISSN 2469-9926, 2469-9934

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Abstract

We present an inequality on the purity of a bipartite state depending solely on the length difference of the local Bloch vectors. For two qubits this inequality is tight for all marginal states and so extends the previously known solution for the two-qubit marginal problem. With this inequality we construct a three-dimensional Bloch model of the two-qubit quantum state space in terms of Bloch lengths, providing a pleasing visualization of this high-dimensional state space. This allows to characterize quantum states by a strongly reduced set of parameters and to investigate the interplay between local properties of the marginal systems and global properties encoded in the correlations.

Item Type: Article
Uncontrolled Keywords: STATES; ENTANGLEMENT; INEQUALITY; SPIN-1/2; VECTOR;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Nov 2025 10:12
Last Modified: 17 Nov 2025 10:12
URI: https://pred.uni-regensburg.de/id/eprint/65066

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