The quantum fourier transform on a linear nearest neighbor architecture

  • Authors:
  • Yasuhiro Takahashi;Noboru Kunihiro;Kazuo Ohta

  • Affiliations:
  • NTT Communication Science Laboratories, NTT Corporation, Atsugi, Kanagawa, Japan and The University of Electro-Communications, Chofu, Tokyo, Japan;The University of Electro-Communications, Chofu, Tokyo, Japan;The University of Electro-Communications, Chofu, Tokyo, Japan

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2007

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Abstract

We show how to construct an efficient quantum circuit for computing a good approximation of the quantum Fourier transform on a linear nearest neighbor architecture. The constructed circuit uses no ancillary qubits and its depth and size are O(n) and O(n log n), respectively, where n is the length of the input. The circuit is useful for decreasing the size of Fowler et al.'s quantum circuit for Shor's factoring algorithm on a linear nearest neighbor architecture.