Work

On the Effect of Quantum Interaction Distance on Quantum Addition Circuits

Year: 2011

Type: article

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 Ω (log n )-depth quantum adder circuit for two 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 k -dimensional practical architecture, we prove that the depth lower bound of any exact quantum addition circuits is no longer Ω (log 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.

Source: ACM Journal on Emerging Technologies in Computing Systems

DOI: 10.1145/2000502.2000504

Authors: Byung-Soo Choi, Rodney Van Meter

Institutions: University of Seoul, Keio University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation of Korea, Ministry of Education, Science and Technology

Awards: G387568592, G5182231385