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arXiv 1502.00067quant-phcs.CC
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AWPP和APP的量子解释

Quantum interpretations of AWPP and APP

Tomoyuki Morimae, Harumichi Nishimura

摘要:

AWPP是由Fenner、Fortnow、Kurtz和Li引入的一个复杂度类,它使用GapP函数定义。虽然它是BQP的最佳上界,但它的定义似乎是人为的,因此如果我们对AWPP有一些“物理解释”会更好。在这里,我们提供了一个量子物理解释的AWPP:我们表明,AWPP是等于类的问题有效地解决了一个量子计算机的能力,postselecting一个事件的概率接近FP功能。这一结果也适用于获得量子物理解释的APP。此外,我们认为这些结果的“经典物理模拟”,并表明,一个限制版本的${\rm BPP}_{\rm path}$包含${\rm UP}\cap{\rm coUP}$,并包含在WAPP。

英文摘要:

AWPP is a complexity class introduced by Fenner, Fortnow, Kurtz, and Li, which is defined using GapP functions. Although it is an important class as the best upperbound of BQP, its definition seems to be somehow artificial, and therefore it would be better if we have some "physical interpretation" of AWPP. Here we provide a quantum physical interpretation of AWPP: we show that AWPP is equal to the class of problems efficiently solved by a quantum computer with the ability of postselecting an event whose probability is close to an FP function. This result is applied to also obtain a quantum physical interpretation of APP. In addition, we consider "classical physical analogue" of these results, and show that a restricted version of ${\rm BPP}_{\rm path}$ contains ${\rm UP}\cap{\rm coUP}$ and is contained in WAPP.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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