<div class="csl-bib-body">
<div class="csl-entry">Morelli, S., Eltschka, C., Huber, M., & Siewert, J. (2024). Correlation constraints and the Bloch geometry of two qubits. <i>Physical Review A</i>, <i>109</i>(1), Article 012423. https://doi.org/10.1103/PhysRevA.109.012423</div>
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dc.identifier.issn
2469-9926
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/207067
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dc.description.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.
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dc.description.sponsorship
European Commission
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dc.description.sponsorship
European Commission
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dc.language.iso
en
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dc.publisher
AMER PHYSICAL SOC
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dc.relation.ispartof
Physical Review A
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dc.subject
bipartite states
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dc.subject
two-qubit states
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dc.subject
local Bloch vectors
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dc.subject
three-dimensional
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dc.subject
quantum states
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dc.title
Correlation constraints and the Bloch geometry of two qubits