On the effect of quantum interaction distance on quantum addition circuits

Byung Soo Choi, Meter Van Rodney

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


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(i√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.

Original languageEnglish
Article number11
JournalACM Journal on Emerging Technologies in Computing Systems
Issue number3
Publication statusPublished - 2011 Aug


  • Depth lower bound
  • Graph embedding
  • Interaction distance
  • Quantum adder
  • Quantum architecture

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Electrical and Electronic Engineering


Dive into the research topics of 'On the effect of quantum interaction distance on quantum addition circuits'. Together they form a unique fingerprint.

Cite this