3 papers
quant-ph2025
Fault-tolerant syndrome extraction in [[n,1,3]] non-CSS code family generated using measurements on graph states
Harsh Gupta, Mainak Bhattacharyya, Ritik Jain +1
The reliability of quantum computation critically depends on the performance of quantum error-correcting codes (QECCs). Performance of QECCs can be severely degraded by hook errors…
math.PR2024
The number of solutions of a random system of polynomials over a finite field
Ritik Jain
We study the probability distribution of the number of common zeros of a system of random -variate polynomials over a finite commutative ring . We compute the expected nu…
math.PR2023
Distribution of the number of zeros of polynomials over a finite field
Ritik Jain, Han-Bom Moon, Peter Wu
We study the probability distribution of the number of zeros of multivariable polynomials with bounded degree over a finite field. We find the probability generating function for e…