Presentation 2021-03-03
[Memorial Lecture] Dynamical Decomposition and Mapping of MPMCT Gates to Nearest Neighbor Architectures
Atsushi Matsuo, Wakaki Hattori, Shigeru Yamashita,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We usually use {it Mixed-Polarity Multiple-Control Toffoli (MPMCT)} gates to realize large control logic functions for quantum computation. A logic circuit consisting of MPMCT gates needs to be mapped to a quantum computing device that has some physical limitation; (1) we need to decompose MPMCT gates into one or two-qubit gates, and then (2) we need to insert {it SWAP} gates such that all the gates can be performed on {it Nearest Neighbor Architectures (NNAs).} Up to date, the above two processes have been independently studied intensively. This paper points out that we can decrease the total number of the gates in a circuit if the above two processes are considered {it dynamically} as a single step; we propose a method to inserts SWAP gates while decomposing MPMCT gates unlike most of the existing methods. Our additional idea is to consider the effect on the latter part of a circuit carefully by considering the qubit layout when decomposing an MPMCT gate. We show some experimental results to confirm the effectiveness of our method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Quantum Circuit / Mixed-Polarity Multiple-Control Toffoli (MPMCT) gate / Nearest Neighbor Architecture (NNA)
Paper # VLD2020-73,HWS2020-48
Date of Issue 2021-02-24 (VLD, HWS)

Conference Information
Committee HWS / VLD
Conference Date 2021/3/3(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English) Design Technology for System-on-Silicon, Hardware Security, etc.
Chair Makoto Ikeda(Univ. of Tokyo) / Daisuke Fukuda(Fujitsu Labs.)
Vice Chair Yasuhisa Shimazaki(Renesas Electronics) / Makoto Nagata(Kobe Univ.) / Kazutoshi Kobayashi(Kyoto Inst. of Tech.)
Secretary Yasuhisa Shimazaki(Kyushu Univ.) / Makoto Nagata(NTT) / Kazutoshi Kobayashi(Hitachi)
Assistant / Takuma Nishimoto(Hitachi)

Paper Information
Registration To Technical Committee on Hardware Security / Technical Committee on VLSI Design Technologies
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) [Memorial Lecture] Dynamical Decomposition and Mapping of MPMCT Gates to Nearest Neighbor Architectures
Sub Title (in English)
Keyword(1) Quantum Circuit
Keyword(2) Mixed-Polarity Multiple-Control Toffoli (MPMCT) gate
Keyword(3) Nearest Neighbor Architecture (NNA)
1st Author's Name Atsushi Matsuo
1st Author's Affiliation Ritsumeikan University(Ritsumeikan University)
2nd Author's Name Wakaki Hattori
2nd Author's Affiliation Ritsumeikan University(Ritsumeikan University)
3rd Author's Name Shigeru Yamashita
3rd Author's Affiliation Ritsumeikan University(Ritsumeikan University)
Date 2021-03-03
Paper # VLD2020-73,HWS2020-48
Volume (vol) vol.120
Number (no) VLD-400,HWS-401
Page pp.pp.31-31(VLD), pp.31-31(HWS),
#Pages 1
Date of Issue 2021-02-24 (VLD, HWS)