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.
Highlights
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
Excellent quantum engineering framework researches are carried for quantum computing applications with trapped ions[1,2], spin qubit control[3,4,5], quantum optical control of semiconductor quantum dots[6,7,8], superconducting qubits[9,10,11,12], etc
We introduce the Hamiltonian of basic superconductor qubits and their approximations, by simulations show that the two systems, rotate along different trajectories on Bloch sphere and with different quantum observable expectations, we endevour to design microwave controller for approximated system and show that this control leads to wrong results with respect to desired trajectories
Summary
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. 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. Among different approaches to quantum computers, since superconductor circuits can be fabricated and controled based on the current technologies, this has impelled the attention of r esearches[13,14,15,16,17] and IC makers, IT companies such as IBM, Intel, Google, Microsoft, etc to make quantum processor with exceptional computational performance with respect to conventional processors Achieving this goal, the quantum sate of each qubit as fundamental building block of quantum computation must be controlled precisely toward the desired state and remain stable at that state.
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