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- W2911473692 abstract "We prove a query complexity lower bound for $mathsf{QMA}$ protocols that solve approximate counting: estimating the size of a set given a membership oracle. This gives rise to an oracle $A$ such that $mathsf{SBP}^A notsubset mathsf{QMA}^A$, resolving an open problem of Aaronson [2]. Our proof uses the polynomial to derive a lower bound for the $mathsf{SBQP}$ query complexity of the $mathsf{AND}$ of two approximate counting instances. We use polynomials as a tool in our proof, showing that the Laurent polynomial method can be useful even for problems involving ordinary polynomials." @default.
- W2911473692 created "2019-02-21" @default.
- W2911473692 creator A5036924443 @default.
- W2911473692 date "2019-02-06" @default.
- W2911473692 modified "2023-09-27" @default.
- W2911473692 title "$mathsf{QMA}$ Lower Bounds for Approximate Counting." @default.
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