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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

A counterexample to the strong spin alignment conjecture

arXiv
Authors: Zhiwei Song, Lin Chen

Year

2026

Paper ID

35654

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

The spin alignment conjecture was originally formulated in connection with the additivity of coherent information for a class of quantum channels known as platypus channels. Recently, a stronger majorization-based version was proposed by M. A. Alhejji and E. Knill [Commun. Math. Phys. 405, 119, 2024], asserting that the spectrum of the alignment operator is always majorized by that of the perfectly aligned configuration. In this letter, we show that this strong spin alignment conjecture is false in general by constructing an explicit counterexample in the smallest unresolved case, namely three qubits. The example uses two-body states that are not jointly compatible with any single three-qubit global state, which naturally leads to a compatibility-constrained variant of the conjecture.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • The spin alignment conjecture was originally formulated in connection with the additivity of coherent information for a class of quantum channels known as platypus channels.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.25410 [2] arXiv https://arxiv.org/abs/2603.25410 [3] Publisher https://arxiv.org/abs/2603.25410

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