Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution

• URL: http://arxiv.org/abs/2607.00266v1
• Date: Tue, 30 Jun 2026 23:29:35 GMT
• Title: Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution
• Abstract summary: We study the problem of extracting a quantum complexity resource from a mixed Gaussian state of the multimode light.<n>We present the first complete, certificate-checked solution to this problem in a genuinely coupled sector.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the problem of extracting a quantum complexity resource from a mixed Gaussian state of the multimode light. We present the first complete, certificate-checked solution to this problem in a genuinely coupled sector. We carry this out for the two-mode case, the smallest case in which modes are genuinely coupled. Even in this case the solution is highly nontrivial, and we rigorously prove that it cannot be given in a closed form.

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