文章基本信息

标题：Overlapping Qubits
本地全文：下载
作者：Rui Chao ; Ben W. Reichardt ; Chris Sutherland 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2017
卷号：67
页码：48:1-48:21
DOI：10.4230/LIPIcs.ITCS.2017.48
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：An ideal system of n qubits has 2^n dimensions. This exponential grants power, but also hinders characterizing the system's state and dynamics. We study a new problem: the qubits in a physical system might not be independent. They can "overlap," in the sense that an operation on one qubit slightly affects the others. We show that allowing for slight overlaps, n qubits can fit in just polynomially many dimensions. (Defined in a natural way, all pairwise overlaps can be <= epsilon in n^{O(1/epsilon^2)} dimensions.) Thus, even before considering issues like noise, a real system of n qubits might inherently lack any potential for exponential power. On the other hand, we also provide an efficient test to certify exponential dimensionality. Unfortunately, the test is sensitive to noise. It is important to devise more robust tests on the arrangements of qubits in quantum devices.
关键词：Quantum computing; Qubits; Dimension test