7 citations · 12 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Hybrid boson sampling
V. V. Kocharovsky
We propose boson sampling from a system of coupled photons and Bose-Einstein condensed atoms placed inside a multi-mode cavity as a simulation process testing quantum advantage of…
Towards the simplest model of quantum supremacy: Atomic boson sampling in a box trap
V. V. Kocharovsky, Vl. V. Kocharovsky, W. D. Shannon +1
We describe boson sampling of interacting atoms from the noncondensed fraction of Bose-Einstein-condensed (BEC) gas confined in a box trap as a new platform for studying computatio…
Multi-scale magnetic field structures in an expanding elongated plasma cloud with hot electrons subject to an external magnetic field
Mikhail Garasev, Anton Nechaev, Andrey Stepanov +2
We carry out 3D and 2D PIC-simulations of the expansion of a magnetized plasma that initially uniformly fills a half-space and contains a semi-cylindrical region of heated electron…
Exact recursive calculation of circulant permanents: A band of different diagonals inside a uniform matrix
Vitaly V. Kocharovsky, Vladimir V. Kocharovsky, Vladimir Yu. Martyanov +1
We present a finite-order system of recurrence relations for a permanent of circulant matrices containing a band of k any-value diagonals on top of a uniform matrix (for k = 1, 2,…