Ramis Movassagh

Efficient unitary paths and quantum computational supremacy: A proof of average-case hardness of Random Circuit Sampling

2018 · arXiv (Cornell University)

One-parameter interpolations between any two unitary matrices (e.g., quantum gates) $U_1$ and $U_2$ along efficient paths contained in the unitary group are constructed. Motivated by applications, we propose the continuous unitary path $U(θ)$ obtained from …