PhD Seminar • Algorithms and Complexity — Revisiting the Simulation of Quantum Turing Machines by Quantum Circuits
Abel Molina, PhD candidate
David R. Cheriton School of Computer Science
Yao (1993) proved that quantum Turing machines and uniformly generated quantum circuits are polynomially equivalent computational models: t >= n steps of a quantum Turing machine running on an input of length n can be simulated by a uniformly generated family of quantum circuits with size quadratic in t, and a polynomial-time uniformly generated family of quantum circuits can be simulated by a quantum Turing machine running in polynomial time.