Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer

There is no unique way to encode a quantum algorithm into a quantum circuit. With limited qubit counts, connectivity, and coherence times, a quantum circuit optimization is essential to make the best use of near-term quantum devices. We introduce a new circuit optimizer called AQCEL, which aims to r...

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Main Authors: Wonho Jang, Koji Terashi, Masahiko Saito, Christian W. Bauer, Benjamin Nachman, Yutaro Iiyama, Ryunosuke Okubo, Ryu Sawada
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2022-09-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2022-09-08-798/pdf/
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author Wonho Jang
Koji Terashi
Masahiko Saito
Christian W. Bauer
Benjamin Nachman
Yutaro Iiyama
Ryunosuke Okubo
Ryu Sawada
author_facet Wonho Jang
Koji Terashi
Masahiko Saito
Christian W. Bauer
Benjamin Nachman
Yutaro Iiyama
Ryunosuke Okubo
Ryu Sawada
author_sort Wonho Jang
collection DOAJ
description There is no unique way to encode a quantum algorithm into a quantum circuit. With limited qubit counts, connectivity, and coherence times, a quantum circuit optimization is essential to make the best use of near-term quantum devices. We introduce a new circuit optimizer called AQCEL, which aims to remove redundant controlled operations from controlled gates, depending on initial states of the circuit. Especially, the AQCEL can remove unnecessary qubit controls from multi-controlled gates in polynomial computational resources, even when all the relevant qubits are entangled, by identifying zero-amplitude computational basis states using a quantum computer. As a benchmark, the AQCEL is deployed on a quantum algorithm designed to model final state radiation in high energy physics. For this benchmark, we have demonstrated that the AQCEL-optimized circuit can produce equivalent final states with much smaller number of gates. Moreover, when deploying AQCEL with a noisy intermediate scale quantum computer, it efficiently produces a quantum circuit that approximates the original circuit with high fidelity by truncating low-amplitude computational basis states below certain thresholds. Our technique is useful for a wide variety of quantum algorithms, opening up new possibilities to further simplify quantum circuits to be more effective for real devices.
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spelling doaj.art-b0d244ba31e4421b8284f9eed320136f2022-12-22T03:11:42ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-09-01679810.22331/q-2022-09-08-79810.22331/q-2022-09-08-798Initial-State Dependent Optimization of Controlled Gate Operations with Quantum ComputerWonho JangKoji TerashiMasahiko SaitoChristian W. BauerBenjamin NachmanYutaro IiyamaRyunosuke OkuboRyu SawadaThere is no unique way to encode a quantum algorithm into a quantum circuit. With limited qubit counts, connectivity, and coherence times, a quantum circuit optimization is essential to make the best use of near-term quantum devices. We introduce a new circuit optimizer called AQCEL, which aims to remove redundant controlled operations from controlled gates, depending on initial states of the circuit. Especially, the AQCEL can remove unnecessary qubit controls from multi-controlled gates in polynomial computational resources, even when all the relevant qubits are entangled, by identifying zero-amplitude computational basis states using a quantum computer. As a benchmark, the AQCEL is deployed on a quantum algorithm designed to model final state radiation in high energy physics. For this benchmark, we have demonstrated that the AQCEL-optimized circuit can produce equivalent final states with much smaller number of gates. Moreover, when deploying AQCEL with a noisy intermediate scale quantum computer, it efficiently produces a quantum circuit that approximates the original circuit with high fidelity by truncating low-amplitude computational basis states below certain thresholds. Our technique is useful for a wide variety of quantum algorithms, opening up new possibilities to further simplify quantum circuits to be more effective for real devices.https://quantum-journal.org/papers/q-2022-09-08-798/pdf/
spellingShingle Wonho Jang
Koji Terashi
Masahiko Saito
Christian W. Bauer
Benjamin Nachman
Yutaro Iiyama
Ryunosuke Okubo
Ryu Sawada
Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
Quantum
title Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
title_full Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
title_fullStr Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
title_full_unstemmed Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
title_short Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
title_sort initial state dependent optimization of controlled gate operations with quantum computer
url https://quantum-journal.org/papers/q-2022-09-08-798/pdf/
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