Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer

Experimental demonstrations of quantum annealing with “native” implementation of Boolean logic Hamiltonians are reported. As a superconducting integrated circuit, a problem Hamiltonian whose set of ground states is consistent with a given truth table is implemented for quantum...

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Main Authors: Daisuke Saida, Yuki Yamanashi, Mutsuo Hidaka, Fuminori Hirayama, Kentaro Imafuku, Shuichi Nagasawa, Shiro Kawabata
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Transactions on Quantum Engineering
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9521713/
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author Daisuke Saida
Yuki Yamanashi
Mutsuo Hidaka
Fuminori Hirayama
Kentaro Imafuku
Shuichi Nagasawa
Shiro Kawabata
author_facet Daisuke Saida
Yuki Yamanashi
Mutsuo Hidaka
Fuminori Hirayama
Kentaro Imafuku
Shuichi Nagasawa
Shiro Kawabata
author_sort Daisuke Saida
collection DOAJ
description Experimental demonstrations of quantum annealing with &#x201C;native&#x201D; implementation of Boolean logic Hamiltonians are reported. As a superconducting integrated circuit, a problem Hamiltonian whose set of ground states is consistent with a given truth table is implemented for quantum annealing with no redundant qubits. As examples of the truth table, <sc>nand</sc> and <sc>nor</sc> are successfully fabricated as an identical circuit. Similarly, a native implementation of a multiplier comprising six superconducting flux qubits is also demonstrated. These native implementations of Hamiltonians consistent with Boolean logic provide an efficient and scalable way of applying annealing computation to so-called circuit satisfiability problems that aim to find a set of inputs consistent with a given output over any Boolean logic functions, especially those like factorization through a multiplier Hamiltonian. A proof-of-concept demonstration of a hybrid computing architecture for domain-specific quantum computing is described.
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spelling doaj.art-5bd577491caf42f2a07ffacaccd8cb7f2022-12-21T18:13:41ZengIEEEIEEE Transactions on Quantum Engineering2689-18082021-01-0121810.1109/TQE.2021.31067769521713Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum AnnealerDaisuke Saida0https://orcid.org/0000-0002-9599-4428Yuki Yamanashi1https://orcid.org/0000-0003-4840-7611Mutsuo Hidaka2https://orcid.org/0000-0002-9970-2744Fuminori Hirayama3https://orcid.org/0000-0001-5052-3078Kentaro Imafuku4Shuichi Nagasawa5Shiro Kawabata6National Institute of Advanced Industrial Science and Technology, Tsukuba, JapanYokohama National University, Yokohama, JapanNational Institute of Advanced Industrial Science and Technology, Tsukuba, JapanNational Institute of Advanced Industrial Science and Technology, Tsukuba, JapanNational Institute of Advanced Industrial Science and Technology, Tsukuba, JapanNational Institute of Advanced Industrial Science and Technology, Tsukuba, JapanNational Institute of Advanced Industrial Science and Technology, Tsukuba, JapanExperimental demonstrations of quantum annealing with &#x201C;native&#x201D; implementation of Boolean logic Hamiltonians are reported. As a superconducting integrated circuit, a problem Hamiltonian whose set of ground states is consistent with a given truth table is implemented for quantum annealing with no redundant qubits. As examples of the truth table, <sc>nand</sc> and <sc>nor</sc> are successfully fabricated as an identical circuit. Similarly, a native implementation of a multiplier comprising six superconducting flux qubits is also demonstrated. These native implementations of Hamiltonians consistent with Boolean logic provide an efficient and scalable way of applying annealing computation to so-called circuit satisfiability problems that aim to find a set of inputs consistent with a given output over any Boolean logic functions, especially those like factorization through a multiplier Hamiltonian. A proof-of-concept demonstration of a hybrid computing architecture for domain-specific quantum computing is described.https://ieeexplore.ieee.org/document/9521713/Domain-specific quantum computingfactorizationfunctionally complete setmultiplierquantum annealingsuperconducting flux qubit
spellingShingle Daisuke Saida
Yuki Yamanashi
Mutsuo Hidaka
Fuminori Hirayama
Kentaro Imafuku
Shuichi Nagasawa
Shiro Kawabata
Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
IEEE Transactions on Quantum Engineering
Domain-specific quantum computing
factorization
functionally complete set
multiplier
quantum annealing
superconducting flux qubit
title Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
title_full Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
title_fullStr Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
title_full_unstemmed Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
title_short Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
title_sort experimental demonstrations of native implementation of boolean logic hamiltonian in a superconducting quantum annealer
topic Domain-specific quantum computing
factorization
functionally complete set
multiplier
quantum annealing
superconducting flux qubit
url https://ieeexplore.ieee.org/document/9521713/
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