Quantum algorithms and approximating polynomials for composed functions with shared inputs

Mark Bun, Robin Kothari, Justin Thaler

Abstract: Mark Bun, Robin Kothari, and Justin Thaler, Quantum 5, 543 (2021). We give new quantum algorithms for evaluating composed functions whose inputs may be shared between bottom-level gates. Let $f$ be an $m$-bit Boolean function and consider an $n$-bit function $F$ ob…