Superconductor qubits hamiltonian approximations effect on quantum state evolution and control

Abstract Microwave IQ-mixer controllers are designed for the three approximated Hamiltonians of charge, phase and flux qubits and the controllers are exerted both on approximate and precise quantum system models. The controlled qubits are for the implementation of the two quantum-gates with these th...

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Main Author: Javad Sharifi
Format: Article
Language:English
Published: Nature Portfolio 2021-06-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-92290-0
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author Javad Sharifi
author_facet Javad Sharifi
author_sort Javad Sharifi
collection DOAJ
description Abstract Microwave IQ-mixer controllers are designed for the three approximated Hamiltonians of charge, phase and flux qubits and the controllers are exerted both on approximate and precise quantum system models. The controlled qubits are for the implementation of the two quantum-gates with these three fundamental types of qubits, Quantum NOT-gate and Hadamard-gate. In the charge-qubit, for implementation of both gates, in the approximated and precise model, we observed different controlled trajectories. But fortunately, applying the controller designed for the approximated system over the precise system leads to the passing of the quantum state from the desired state sooner that the expected time. Phase-qubit and flux qubit have similar behaviour under the control system action. In both of them, the implementation of NOT-gate operation led to same trajectories which arrive at final goal state at different times. But in both of those two qubits for implementation of Hadamard-gate, desired trajectory and precise trajectory have some angle of deviation, then by exerting the approximated design controller to precise system, it caused the quantum state to approach the goal state for Hadamard gate implementation, and since the quantum state does not completely reach the goal state, we can not obtain very high gate fidelity.
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spelling doaj.art-6a47bef3f3524060bbb3621ce977af8f2022-12-21T20:34:28ZengNature PortfolioScientific Reports2045-23222021-06-011111910.1038/s41598-021-92290-0Superconductor qubits hamiltonian approximations effect on quantum state evolution and controlJavad Sharifi0Electrical and Computer Engineering Department, Qom University of TechnologyAbstract Microwave IQ-mixer controllers are designed for the three approximated Hamiltonians of charge, phase and flux qubits and the controllers are exerted both on approximate and precise quantum system models. The controlled qubits are for the implementation of the two quantum-gates with these three fundamental types of qubits, Quantum NOT-gate and Hadamard-gate. In the charge-qubit, for implementation of both gates, in the approximated and precise model, we observed different controlled trajectories. But fortunately, applying the controller designed for the approximated system over the precise system leads to the passing of the quantum state from the desired state sooner that the expected time. Phase-qubit and flux qubit have similar behaviour under the control system action. In both of them, the implementation of NOT-gate operation led to same trajectories which arrive at final goal state at different times. But in both of those two qubits for implementation of Hadamard-gate, desired trajectory and precise trajectory have some angle of deviation, then by exerting the approximated design controller to precise system, it caused the quantum state to approach the goal state for Hadamard gate implementation, and since the quantum state does not completely reach the goal state, we can not obtain very high gate fidelity.https://doi.org/10.1038/s41598-021-92290-0
spellingShingle Javad Sharifi
Superconductor qubits hamiltonian approximations effect on quantum state evolution and control
Scientific Reports
title Superconductor qubits hamiltonian approximations effect on quantum state evolution and control
title_full Superconductor qubits hamiltonian approximations effect on quantum state evolution and control
title_fullStr Superconductor qubits hamiltonian approximations effect on quantum state evolution and control
title_full_unstemmed Superconductor qubits hamiltonian approximations effect on quantum state evolution and control
title_short Superconductor qubits hamiltonian approximations effect on quantum state evolution and control
title_sort superconductor qubits hamiltonian approximations effect on quantum state evolution and control
url https://doi.org/10.1038/s41598-021-92290-0
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