3 papers
quant-ph2026
Spectral Theory of Semisimple Bivariate Bicycle Codes
Eric Sabo, Mahir Bilen Can, David Marquis
Extending the classical theory of two-dimensional cyclic codes, we develop an algebraic approach to bivariate bicycle codes. Using Frobenius-orbit idempotents, formulas for logical…
quant-ph2024
Weight Reduced Stabilizer Codes with Lower Overhead
Eric Sabo, Lane G. Gunderman, Benjamin Ide +2
Stabilizer codes are the most widely studied class of quantum error-correcting codes and form the basis of most proposals for a fault-tolerant quantum computer. A stabilizer code i…
math.GT2015
Exact computation of the n-loop invariants of knots
Stavros Garoufalidis, Eric Sabo, Shane Scott
The loop invariants of Dimofte-Garoufalidis is a formal power series with arithmetically interesting coefficients that conjecturally appears in the asymptotics of the Kashaev invar…