IEICE TRANSACTIONS on Information
Reduction of Quantum Cost by Making Temporary Changes to the Function
Summary :
This paper presents a technique to reduce the quantum cost by making temporary changes to the functionality of a given Boolean function. This technique is one of the very few known methods based on manipulating Exclusive-or Sum-Of-Products (ESOP) expressions to reduce the quantum cost of the corresponding circuit. The idea involves adding Mixed Polarity Multiple-Control Toffoli (MPMCT) gates to temporarily change the functionality of the given function, so that the modified function has a smaller quantum cost. To compensate for the temporary change, additional gates are inserted into the circuit. The proposed method finds a small ESOP expression for the given function, and then finds a good pair of product terms in the ESOP expression so that the quantum cost can be reduced by applying the transformation. The proposed approach is likely to produce a better quantum cost reduction than the existing methods, and indeed experimental results confirm this expectation.
- Publication
- IEICE TRANSACTIONS on Information Vol.E100-D No.7 pp.1393-1402
- Publication Date
- 2017/07/01
- Publicized
- 2017/03/23
- Online ISSN
- 1745-1361
- DOI
- 10.1587/transinf.2016EDP7397
- Type of Manuscript
- PAPER
- Category
- Fundamentals of Information Systems
Authors
Nurul AIN BINTI ADNAN
Ritsumeikan University
Shigeru YAMASHITA
Ritsumeikan University
Alan MISHCHENKO
Electrical and Computer Sciences University of California
Keyword
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Nurul AIN BINTI ADNAN, Shigeru YAMASHITA, Alan MISHCHENKO, "Reduction of Quantum Cost by Making Temporary Changes to the Function" in IEICE TRANSACTIONS on Information,
vol. E100-D, no. 7, pp. 1393-1402, July 2017, doi: 10.1587/transinf.2016EDP7397.
Abstract: This paper presents a technique to reduce the quantum cost by making temporary changes to the functionality of a given Boolean function. This technique is one of the very few known methods based on manipulating Exclusive-or Sum-Of-Products (ESOP) expressions to reduce the quantum cost of the corresponding circuit. The idea involves adding Mixed Polarity Multiple-Control Toffoli (MPMCT) gates to temporarily change the functionality of the given function, so that the modified function has a smaller quantum cost. To compensate for the temporary change, additional gates are inserted into the circuit. The proposed method finds a small ESOP expression for the given function, and then finds a good pair of product terms in the ESOP expression so that the quantum cost can be reduced by applying the transformation. The proposed approach is likely to produce a better quantum cost reduction than the existing methods, and indeed experimental results confirm this expectation.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.2016EDP7397/_p
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@ARTICLE{e100-d_7_1393,
author={Nurul AIN BINTI ADNAN, Shigeru YAMASHITA, Alan MISHCHENKO, },
journal={IEICE TRANSACTIONS on Information},
title={Reduction of Quantum Cost by Making Temporary Changes to the Function},
year={2017},
volume={E100-D},
number={7},
pages={1393-1402},
abstract={This paper presents a technique to reduce the quantum cost by making temporary changes to the functionality of a given Boolean function. This technique is one of the very few known methods based on manipulating Exclusive-or Sum-Of-Products (ESOP) expressions to reduce the quantum cost of the corresponding circuit. The idea involves adding Mixed Polarity Multiple-Control Toffoli (MPMCT) gates to temporarily change the functionality of the given function, so that the modified function has a smaller quantum cost. To compensate for the temporary change, additional gates are inserted into the circuit. The proposed method finds a small ESOP expression for the given function, and then finds a good pair of product terms in the ESOP expression so that the quantum cost can be reduced by applying the transformation. The proposed approach is likely to produce a better quantum cost reduction than the existing methods, and indeed experimental results confirm this expectation.},
keywords={},
doi={10.1587/transinf.2016EDP7397},
ISSN={1745-1361},
month={July},}
Copy
TY - JOUR
TI - Reduction of Quantum Cost by Making Temporary Changes to the Function
T2 - IEICE TRANSACTIONS on Information
SP - 1393
EP - 1402
AU - Nurul AIN BINTI ADNAN
AU - Shigeru YAMASHITA
AU - Alan MISHCHENKO
PY - 2017
DO - 10.1587/transinf.2016EDP7397
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E100-D
IS - 7
JA - IEICE TRANSACTIONS on Information
Y1 - July 2017
AB - This paper presents a technique to reduce the quantum cost by making temporary changes to the functionality of a given Boolean function. This technique is one of the very few known methods based on manipulating Exclusive-or Sum-Of-Products (ESOP) expressions to reduce the quantum cost of the corresponding circuit. The idea involves adding Mixed Polarity Multiple-Control Toffoli (MPMCT) gates to temporarily change the functionality of the given function, so that the modified function has a smaller quantum cost. To compensate for the temporary change, additional gates are inserted into the circuit. The proposed method finds a small ESOP expression for the given function, and then finds a good pair of product terms in the ESOP expression so that the quantum cost can be reduced by applying the transformation. The proposed approach is likely to produce a better quantum cost reduction than the existing methods, and indeed experimental results confirm this expectation.
ER -
English
