Abstract:An efficient randomized polynomial identity test for noncommutative polynomials given by noncommutative arithmetic circuits remains an open problem. The main bottleneck to applying known techniques is that a noncommutative circuit of size s can compute a polynomial of degree exponential in s with a double-exponential number of nonzero monomials. In this paper, which is a follow-up on our earlier article [AMR16], we report some progress by dealing with two natural subcases (both allow for polynomials of exponen… Show more
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