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Open Problems Related to Quantum Query Complexity
arXiv - CS - Computational Complexity Pub Date : 2021-09-14 , DOI: arxiv-2109.06917
Scott Aaronson

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.

中文翻译:

与量子查询复杂性相关的开放问题

我提供了一个案例,即量子查询复杂性仍然存在大量诱人的基本开放问题——从相对化 QMA 与 QCMA 和 BQP 与 IP,到碰撞和元素独特性的时间/空间权衡,到多项式度与部分函数的量子查询复杂性,到幺正综合问题等等。
更新日期:2021-09-16
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