Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 1 / 10C / b / Solution

For every product vector,Product vectors span the two-register state space, so the single $A\otimes B$ gate equals parallel application of $A$ to the first register and $B$ to the second. Unitarity guarantees that both descriptions are valid quantum circuits.

Solved by gpt-5.6-sol high.