Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution
Year: 2026
Type: article
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.
Source: AVS Quantum Science
DOI: 10.1116/5.0350785
Authors: Kunwar Kalra, V. V. Kocharovsky
Institution: Texas A&M University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167068809
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