3 papers
quant-ph2026
Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution
Kunwar Kalra, V. V. Kocharovsky
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…
quant-ph2026
Quantum complexity resource in Gaussian boson sampling: Core structure of the semidefinite program
Kunwar Kalra, Vitaly Kocharovsky
We present a rigorous analysis of the algebraic and geometric structure of the quantum complexity resource of a system of bosonic modes in Gaussian boson sampling. This resource un…
quant-ph2026
The quantum-advantage resource in multimode OPA light: Identification, optimization, extraction
Vitaly Kocharovsky, Kunwar Kalra
We introduce the notion and reveal remarkable properties of quantum complexity resource contained in a mixed multimode Gaussian state and providing universal quantitative character…