https://www.sciencedaily.com/releases/2023/05/230504094950.htm

Martin Lanthaler, Ben Niehoff and Wolfgang Lechner from the Department of Theoretical Physics at the University of Innsbruck and the quantum spin-off ParityQC have now developed exactly this inversion of algorithms with the help of quantum computers. The starting point is a classical logic circuit, which multiplies two numbers. If two integers are entered as the input value, the circuit returns their product. Such a circuit is built from irreversible operations. "However, the logic of the circuit can be encoded within ground states of a quantum system," explains Martin Lanthaler from Wolfgang Lechner's team. "Thus, both multiplication and factorization can be understood as ground-state problems and solved using quantum optimization methods."

Superposition of all possible results