Common Resonator Quantum Gates With Slow-Fast State Transfer
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Solution Overview
Problem
Current quantum computing technologies face challenges in efficiently performing arbitrary quantum operations due to the need for high precision electronic controls, which increase complexity and cost.
Innovation Solution
The technique involves coupling multiple qubits to a common resonator with classical digital control parameters, allowing for accurate manipulation of energy splitting and quantum state transitions using slow or fast transition speeds relative to the characteristic energy, enabling the creation of arbitrary quantum gates with low precision control.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If high precision electronic controls are used to perform arbitrary quantum operations, then the accuracy of quantum gate operations is improved, but the device complexity and cost increase
Solution Approach 1:
The patent introduces a resonator as an intermediary system between the qubits and the control electronics. The resonator mediates the interaction by storing and transferring quantum states, allowing classical digital controls to manipulate quantum operations indirectly. This intermediary approach enables accurate quantum gate operations while using simpler, lower-precision control electronics, as the resonator handles the precision requirements through its quantum mechanical properties rather than requiring high-precision electronic control.
2Speed
If fast transition speed is used to adjust energy splitting in qubits, then the operation speed is improved, but the quantum state accuracy deteriorates
Solution Approach 1:
The patent employs periodic action through controlled transitions between slow and fast adjustment speeds. By alternating between adiabatic (slow) transitions for accurate state manipulation and fast transitions for rapid operations, the system achieves both speed and accuracy. The periodic switching between these two regimes allows the quantum system to benefit from both slow, precise control and fast, efficient operation at different stages of the quantum gate execution.
Solution Approach 2:
The patent utilizes parameter changes by dynamically adjusting the transition speed of the classical control parameter based on the operational requirements. The system changes the adjustment speed parameter between slow (adiabatic) and fast regimes, allowing the same control mechanism to achieve both high accuracy and high speed operations depending on the specific quantum gate operation being performed.
3Measurement precision
If slow transition speed is used to exchange energy states between qubit and resonator, then the energy state exchange accuracy is improved, but the operation speed decreases
Solution Approach 1:
The patent employs periodic action through controlled transitions between slow and fast adjustment speeds. By alternating between adiabatic (slow) transitions for accurate state manipulation and fast transitions for rapid operations, the system achieves both speed and accuracy. The periodic switching between these two regimes allows the quantum system to benefit from both slow, precise control and fast, efficient operation at different stages of the quantum gate execution.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach reduces the complexity and cost of quantum computing by allowing high-accuracy quantum gate operations with low precision control, facilitating the engineering of quantum computers capable of performing any logical operation.
Implementation Method 1
quantum states in the qubits are transferred to the resonator by transitioning the classical control parameter between control points
Implementation Method 2
controlling energy splitting in a qubit coupled to a resonator
Data Source
AI summary
A quantum logic gate is formed from multiple qubits coupled to a common resonator, wherein quantum states in the qubits are transferred to the resonator by transitioning a classical control parameter between control points at a selected one of slow and fast transition speeds, relative to the characteristic energy of the coupling, whereby a slow transition speed exchanges energy states of a qubit and the resonator, and a fast transition speed preserves the energy states of a qubit and the resonator.