Quantum state preparation

Can classically simulable operations purify an unknown depolarized pure state from any number of copies?

• Quantum Resource Theory
• Quantum algorithm
• Quantum magic
• Resource conversion
• Quantum state preparation

Determine the asymptotic weighted circuit cost of preparing tensor powers of a known pure state, and characterize when collective preparation is cheaper per copy than independent preparation.

• Quantum algorithm
• Quantum state preparation
• Quantum circuit complexity
• Additivity and regularization