IEICE TRANSACTIONS on Information
Synthesis of Quantum Arrays from Kronecker Functional Lattice Diagrams
Summary :
Reversible logic is becoming more and more popular due to the fact that many novel technologies such as quantum computing, low power CMOS circuit design or quantum optical computing are becoming more and more realistic. In quantum computing, reversible computing is the main venue for the realization and design of classical functions and circuits. We present a new approach to synthesis of reversible circuits using Kronecker Functional Lattice Diagrams (KFLD). Unlike many of contemporary algorithms for synthesis of reversible functions that use n×n Toffoli gates, our method synthesizes functions using 3×3 Toffoli gates, Feynman gates and NOT gates. This reduces the quantum cost of the designed circuit but adds additional ancilla bits. The resulting circuits are always regular in a 4-neighbor model and all connections are predictable. Consequently resulting circuits can be directly mapped in to a quantum device such as quantum FPGA [14]. This is a significant advantage of our method, as it allows us to design optimum circuits for a given quantum technology.
- Publication
- IEICE TRANSACTIONS on Information Vol.E97-D No.9 pp.2262-2269
- Publication Date
- 2014/09/01
- Publicized
- Online ISSN
- 1745-1361
- DOI
- 10.1587/transinf.2013LOP0015
- Type of Manuscript
- Special Section PAPER (Special Section on Multiple-Valued Logic and VLSI Computing)
- Category
- Reversible/Quantum Computing
Authors
Martin LUKAC
Tohoku University
Dipal SHAH
Portland State University
Marek PERKOWSKI
Portland State University
Michitaka KAMEYAMA
Tohoku University
Keyword
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Martin LUKAC, Dipal SHAH, Marek PERKOWSKI, Michitaka KAMEYAMA, "Synthesis of Quantum Arrays from Kronecker Functional Lattice Diagrams" in IEICE TRANSACTIONS on Information,
vol. E97-D, no. 9, pp. 2262-2269, September 2014, doi: 10.1587/transinf.2013LOP0015.
Abstract: Reversible logic is becoming more and more popular due to the fact that many novel technologies such as quantum computing, low power CMOS circuit design or quantum optical computing are becoming more and more realistic. In quantum computing, reversible computing is the main venue for the realization and design of classical functions and circuits. We present a new approach to synthesis of reversible circuits using Kronecker Functional Lattice Diagrams (KFLD). Unlike many of contemporary algorithms for synthesis of reversible functions that use n×n Toffoli gates, our method synthesizes functions using 3×3 Toffoli gates, Feynman gates and NOT gates. This reduces the quantum cost of the designed circuit but adds additional ancilla bits. The resulting circuits are always regular in a 4-neighbor model and all connections are predictable. Consequently resulting circuits can be directly mapped in to a quantum device such as quantum FPGA [14]. This is a significant advantage of our method, as it allows us to design optimum circuits for a given quantum technology.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.2013LOP0015/_p
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@ARTICLE{e97-d_9_2262,
author={Martin LUKAC, Dipal SHAH, Marek PERKOWSKI, Michitaka KAMEYAMA, },
journal={IEICE TRANSACTIONS on Information},
title={Synthesis of Quantum Arrays from Kronecker Functional Lattice Diagrams},
year={2014},
volume={E97-D},
number={9},
pages={2262-2269},
abstract={Reversible logic is becoming more and more popular due to the fact that many novel technologies such as quantum computing, low power CMOS circuit design or quantum optical computing are becoming more and more realistic. In quantum computing, reversible computing is the main venue for the realization and design of classical functions and circuits. We present a new approach to synthesis of reversible circuits using Kronecker Functional Lattice Diagrams (KFLD). Unlike many of contemporary algorithms for synthesis of reversible functions that use n×n Toffoli gates, our method synthesizes functions using 3×3 Toffoli gates, Feynman gates and NOT gates. This reduces the quantum cost of the designed circuit but adds additional ancilla bits. The resulting circuits are always regular in a 4-neighbor model and all connections are predictable. Consequently resulting circuits can be directly mapped in to a quantum device such as quantum FPGA [14]. This is a significant advantage of our method, as it allows us to design optimum circuits for a given quantum technology.},
keywords={},
doi={10.1587/transinf.2013LOP0015},
ISSN={1745-1361},
month={September},}
Copy
TY - JOUR
TI - Synthesis of Quantum Arrays from Kronecker Functional Lattice Diagrams
T2 - IEICE TRANSACTIONS on Information
SP - 2262
EP - 2269
AU - Martin LUKAC
AU - Dipal SHAH
AU - Marek PERKOWSKI
AU - Michitaka KAMEYAMA
PY - 2014
DO - 10.1587/transinf.2013LOP0015
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E97-D
IS - 9
JA - IEICE TRANSACTIONS on Information
Y1 - September 2014
AB - Reversible logic is becoming more and more popular due to the fact that many novel technologies such as quantum computing, low power CMOS circuit design or quantum optical computing are becoming more and more realistic. In quantum computing, reversible computing is the main venue for the realization and design of classical functions and circuits. We present a new approach to synthesis of reversible circuits using Kronecker Functional Lattice Diagrams (KFLD). Unlike many of contemporary algorithms for synthesis of reversible functions that use n×n Toffoli gates, our method synthesizes functions using 3×3 Toffoli gates, Feynman gates and NOT gates. This reduces the quantum cost of the designed circuit but adds additional ancilla bits. The resulting circuits are always regular in a 4-neighbor model and all connections are predictable. Consequently resulting circuits can be directly mapped in to a quantum device such as quantum FPGA [14]. This is a significant advantage of our method, as it allows us to design optimum circuits for a given quantum technology.
ER -
English
