Quantum Scrambling Born Machine
Quantum generative modeling, where the Born rule naturally defines probability distributions through measurement of parameterized quantum states, is a promising near-term application of quantum computing. We propose a Quantum Scrambling Born Machine in which a fixed entangling unitary — acting as a scrambling reservoir — provides multi-qubit entanglement, while only single-qubit rotations are optimized. We consider three entangling unitaries — a Haar random unitary and two physically realizable approximations, a finite-depth brickwork random circuit and analog time evolution […]