Quantum-to-quantum Bernoulli factory problem

doi:10.1103/PhysRevA.97.032303

	Quantum-to-quantum Bernoulli factory problem
	Jiang, Jiaqing 1; Zhang, Jialin 1; Sun, Xiaoming 1
	2018-03-07
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	97 期号:3 页码:6
摘要	Given a coin with unknown bias p is an element of[0,1], can we exactly simulate another coin with bias f (p)? The exact set of simulable functions has been well characterized 20 years ago. In this paper, we ask the quantum counterpart of this question: Given the quantum coin vertical bar p > = root p vertical bar 0 > + root 1 - p vertical bar 1 >, can we exactly simulate another quantum coin vertical bar f (p)> = root f (p)vertical bar 0 > + root 1 - f (p)vertical bar 1 >? We give the full characterization of simulable quantum state k(0)(p)vertical bar 0 > + k(1)(p)vertical bar 1 > from quantum coin vertical bar p > = root p vertical bar 0 > + root 1 - p vertical bar 1 >, and present an algorithm to transform it. Surprisingly, we show that simulable sets in the quantum-to-quantum case and classical-to-classical case have no inclusion relationship with each other.
DOI	10.1103/PhysRevA.97.032303
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[61433014] ; National Natural Science Foundation of China[61502449] ; National Natural Science Foundation of China[61602440] ; 973 Program of China[2016YFB1000201] ; Beijing Natural Science Foundation[4184100]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000426771900002
出版者	AMER PHYSICAL SOC
引用统计	被引频次：7[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/6033
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Jiang, Jiaqing; Zhang, Jialin; Sun, Xiaoming
作者单位	1.Chinese Acad Sci, Inst Comp Technol, CAS Key Lab Network Data Sci & Technol, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Jiaqing,Zhang, Jialin,Sun, Xiaoming. Quantum-to-quantum Bernoulli factory problem[J]. PHYSICAL REVIEW A,2018,97(3):6.
APA	Jiang, Jiaqing,Zhang, Jialin,&Sun, Xiaoming.(2018).Quantum-to-quantum Bernoulli factory problem.PHYSICAL REVIEW A,97(3),6.
MLA	Jiang, Jiaqing,et al."Quantum-to-quantum Bernoulli factory problem".PHYSICAL REVIEW A 97.3(2018):6.