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Author Choi, Byung-Soo ♦ Van Meter, Rodney
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©2011
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Quantum architecture ♦ Depth lower bound ♦ Graph embedding ♦ Interaction distance ♦ Quantum adder
Abstract We investigate the theoretical limits of the effect of the quantum interaction distance on the speed of exact quantum addition circuits. For this study, we exploit graph embedding for quantum circuit analysis. We study a logical mapping of qubits and gates of any $\textit{Ω}(log$ $\textit{n})-depth$ quantum adder circuit for two $\textit{n}-qubit$ registers onto a practical architecture, which limits interaction distance to the nearest neighbors only and supports only one- and two-qubit logical gates. Unfortunately, on the chosen $\textit{k}-dimensional$ practical architecture, we prove that the depth lower bound of any exact quantum addition circuits is no longer $\textit{Ω}(log$ $\textit{n}),$ but $Ω(^{k}√n).$ This result, the first application of graph embedding to quantum circuits and devices, provides a new tool for compiler development, emphasizes the impact of quantum computer architecture on performance, and acts as a cautionary note when evaluating the time performance of quantum algorithms.
ISSN 15504832
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2011-08-01
Publisher Place New York
e-ISSN 15504840
Journal ACM Journal on Emerging Technologies in Computing Systems (JETC)
Volume Number 7
Issue Number 3
Page Count 17
Starting Page 1
Ending Page 17

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Source: ACM Digital Library