Open Problems Related to Quantum Query Complexity

Scott T. Aaronson · ACM Transactions on Quantum Computing · 2021

I offer a case that quantum query complexity still has loads of enticing and fundamental open problems—from relativized QMA versus QCMA and BQP versus IP , to time/space tradeoffs for collision and element distinctness, to polynomial degree versus quantum query complexity for partial functions, to the Unitary Synthesis Problem and more.

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