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Correlation constraints and the Bloch geometry of two qubits

Mar 20, 2023

7 pages

Published in:

Phys.Rev.A 109 (2024) 1, 012423

Published: Jan 19, 2024

e-Print:

2303.11400 [quant-ph]

DOI:

10.1103/PhysRevA.109.012423 (publication)

View in:

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Abstract: (APS)

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.

Note:

7 pages, 4 figures

References(57)

Figures(4)

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