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OP-9447Status unassessedQuantum information

Memory lower bounds beyond twice the input qubits

Memory lower bounds beyond twice the input qubits — original question and dated source context.

Historical source; current status unassessedAs of 2024-10-27Source & evidence ↓

Problem statement

For statistical learning tasks on nn-qubit systems, develop strong query lower bounds when the algorithm has more than 2n2n qubits of quantum memory. More generally, what tradeoffs are possible when both classical memory and quantum memory are bounded?

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Progress & source assessment

Historical source dated 2024-10-27. Current resolution status has not been independently reassessed; bounds and claims in the source context refer to that date.

References
  1. [1]Chen, Cotler, Huang, Li and Tang, Some Open Problems in Quantum Learning, FOCS 2024 workshop, slide 3 link

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