Controlled-Z Gate Synchronization for Low-Leakage Dynamic Decoupling
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Solution Overview
Problem
Quantum computing is limited by decoherence due to interactions between qubits and their environment, which conventional dynamic decoupling drives struggle to address effectively, particularly for controlled-Z gates, as they require large amplitudes that lead to leakage errors and hardware limitations.
Innovation Solution
Implementing dynamically decoupled controlled-Z gates using continuous phase drives synchronized to integer numbers of Rabi oscillations, which reduces the amplitude required for high-fidelity operations and minimizes leakage errors by fine-tuning the drive amplitude to match peak fidelity, thereby enabling shorter gate times without phase flips.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional dynamic decoupling drives are used to suppress decoherence, then decoherence suppression is improved, but large amplitudes lead to leakage errors and hardware limitations
Solution Approach 1:
The patent applies periodic dynamic decoupling drives synchronized to integer numbers of Rabi oscillations. By timing the periodic drives to match the Rabi oscillation period, the system achieves effective decoherence suppression while operating at reduced amplitudes, avoiding the leakage errors associated with conventional large-amplitude continuous drives.
Solution Approach 2:
The patent transitions from static or conventional dynamic decoupling approaches to a dynamically synchronized approach where the drive frequency and timing are adapted to match the instantaneous Rabi oscillation period. This dynamic synchronization allows the system to maintain high fidelity operations at lower amplitudes by continuously adjusting to the quantum system's evolving dynamics.
2Reliability
If large amplitude drives are used for dynamic decoupling, then decoherence suppression is improved, but hardware limitations are exceeded
Solution Approach 1:
The patent changes the operational parameters of the dynamic decoupling drive by synchronizing it to the Rabi oscillation period. This parameter change allows the system to achieve effective decoherence suppression at reduced amplitudes that are compatible with existing hardware capabilities, eliminating the need for hardware upgrades while maintaining high fidelity quantum gate operations.
3Productivity
If conventional controlled-Z gate operations are performed, then quantum computation is enabled, but gate times are extended due to decoherence constraints
Solution Approach 1:
By implementing periodic dynamic decoupling drives synchronized to Rabi oscillations, the patent extends the effective coherence time during gate operations. This allows controlled-Z gates to be performed more quickly without losing fidelity, as the periodic drives actively counteract decoherence throughout the shortened gate duration.
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 significantly reduces the amplitude of dynamic decoupling drives needed for high-fidelity quantum gates, reducing leakage errors and achieving improved gate fidelity while maintaining short gate times, compatible with existing experimental equipment.
Implementation Method 1
The first instructions can cause the first drive source to apply an external magnetic flux to the second qubit to bring a frequency of the second qubit into resonance with a frequency of the first qubit
Implementation Method 2
The second instructions can cause the second drive source to apply a continuous alternating drive with continuous phase to the second qubit, a duration and a magnitude of the continuous alternating drive configured to synchronize a gate time of the dynamically decoupled controlled-Z gate operation to an integer number of Rabi oscillation periods
Data Source
AI summary
Systems and methods are provided for performing a dynamic decoupled controlled-Z gate operation. A superconducting circuit of an exemplary system can include a first qubit and a second qubit transversely coupled to the first qubit, lire system can apply an external magnetic flux to the second qubit to bring a frequency of the second qubit into resonance with a frequency of the first qubit. The system can apply a continuous alternating drive with continuous phase to the second qubit, a duration and a magnitude of the continuous alternating drive configured to synchronize agate time of the dynamic decoupled controlled-Z gate operation to an integer number of Rabi oscillation periods. The system can read out a state of the quantum computing system, after providing the continuous alternating drive.