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Quantum Optimization

A Counterexample to the Optimality Conjecture in Convex Quantum Channel Optimization

arXiv
Authors: Jianting Yang

Year

2025

Paper ID

36163

Status

Preprint

Abstract Read

~2 min

Abstract Words

63

Citations

N/A

Abstract

This paper presents a counterexample to the optimality conjecture in convex quantum channel optimization proposed by Coutts et al. The conjecture posits that for nuclear norm minimization problems in quantum channel optimization, the dual certificate of an optimal solution can be uniquely determined via the spectral calculus of the Choi matrix. By constructing a counterexample in 2-dimensional Hilbert spaces, we disprove this conjecture.

Why This Paper Matters

  • This paper contributes to the Quantum Optimization research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • This paper presents a counterexample to the optimality conjecture in convex quantum channel optimization proposed by Coutts et al.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.22863 [2] arXiv https://arxiv.org/abs/2512.22863 [3] Publisher https://arxiv.org/abs/2512.22863

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