2024/08/14 by Lewis, Marco, Soudjani, Sadegh, Zuliani, Paolo
#FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Physical sciences #Logic in Computer Science (cs.LO) #Quantum Physics (quant-ph) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.2408.07591
Current methods for verifying quantum computers are predominately based on interactive or automatic theorem provers. Considering that quantum computers are dynamical in nature, this paper employs and extends the concepts from the verification of dynamical systems to verify properties of quantum circuits. Our main contribution is to propose k-inductive barrier certificates over complex variables and show how to compute them using Hermitian Sum of Squares optimization. We apply this new technique to verify properties of different quantum circuits.