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NISQ query lower bounds and natural oracle separations

NISQ query lower bounds and natural oracle separations — original question and dated source context.

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

Problem statement

In the NISQ model of Chen, Cotler, Huang and Li (2023), prove query lower bounds for Simon’s problem and Forrelation. Can one construct a natural oracle OO such that BPPO⊊NISQO⊊BQPO\mathsf{BPP}^O\subsetneq\mathsf{NISQ}^O\subsetneq\mathsf{BQP}^O?

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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 5 link

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