Random quantum circuits approximating unitary k-designs now proven to reproduce output probability distributions of ideal quantum evolution with quantified convergence rates—enabling high-entropy random number generation from shallow circuits.
#QuantumCircuits #UniversalDesigns #QuantumRandomness
#QuantumCircuits #UniversalDesigns #QuantumRandomness
Distributional Convergence of Random Quantum Circuits: Beyond Moment Matching to Porter-Thomas Statistics
arxiv.org
November 1, 2026 at 2:52 PM
Random quantum circuits approximating unitary k-designs now proven to reproduce output probability distributions of ideal quantum evolution with quantified convergence rates—enabling high-entropy random number generation from shallow circuits.
#QuantumCircuits #UniversalDesigns #QuantumRandomness
#QuantumCircuits #UniversalDesigns #QuantumRandomness