78 citations · 446 across the 27 of their papers we have counts for
29 papers
The finite-degree profile of essential dimension II: cyclic -groups in characteristic
Abhishek Shukla
Let be algebraically closed of characteristic . Reichstein and Vistoli showed that every -torsor becomes at most one-dimensional over a field extension of degree pri…
The finite-degree profile of essential dimension I: general theory and characteristic prime to
Abhishek Shukla
Essential dimension counts the parameters needed to define a torsor, but it can drop sharply over a field extension, and it does not say how large an extension is needed. For a …
An efficient quantum-classical hybrid algorithm for distorted alphanumeric character identification
Ankur Pal, Abhishek Shukla, Anirban Pathak
An algorithm for image processing is proposed. The proposed algorithm, which can be viewed as a quantum-classical hybrid algorithm, can transform a low-resolution bitonal image of…
Entanglement Limits in Hybrid Spin-Mechanical Systems
Souvik Agasti, Abhishek Shukla, Milos Nesladek
We investigate how to generate continuous-variable entanglement between distant optomechanical and spin systems, by transferring input two-mode squeezed vacuum state to the system.…
A hybrid scheme for prime factorization and its experimental implementation using IBM quantum processor
Ashwin Saxena, Abhishek Shukla, Anirban Pathak
We report a quantum-classical hybrid scheme for factorization of bi-prime numbers (which are odd and square-free) using IBM's quantum processors. The hybrid scheme proposed here in…
Essential dimension of double covers of symmetric and alternating groups
Zinovy Reichstein, Abhishek Kumar Shukla
I. Schur studied double covers $\widetilde{\Sym}^{\pm}_n$ and $\widetilde{\Alt}_n$ of symmetric groups $\Sym_n$ and alternating groups $\Alt_n$, respectively. Representations of th…