Stabilized Entangling Operations in Quantum Computing Systems
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Solution Overview
Problem
Quantum computing systems with trapped ions face errors due to experimental parameter drift and fluctuations, such as vibrational mode frequencies, which require frequent system-parameter characterization, making reliable and scalable quantum computation costly and time-consuming.
Innovation Solution
A method is developed to compute and implement control pulses that minimize two-qubit gate infidelities without frequent system-parameter characterization, using a classical computer to generate pulses for trapped ions, stabilizing entangling gate operations and reducing the need for frequent parameter measurement.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If frequent system-parameter characterization is performed to maintain gate operation fidelity, then reliability of quantum computation is improved, but time consumption and cost increase
Solution Approach 1:
The patent applies preliminary action by pre-characterizing system parameters and pre-calculating compensation values before quantum computation begins. The method performs initial measurements of vibrational mode frequencies and other hardware parameters, then uses this data to pre-compute correction factors that are applied during gate operations. This eliminates the need for frequent characterization during computation, as the preliminary characterization data is used to stabilize operations throughout the computational process.
Solution Approach 2:
The patent employs parameter changes by dynamically adjusting control pulse parameters based on characterized system parameters. Specifically, the method modifies laser pulse durations, frequencies, and amplitudes to compensate for drift in vibrational mode frequencies and other hardware variations. By changing the control parameters adaptively rather than keeping them fixed, the system maintains gate fidelity without requiring frequent re-characterization of the hardware.
2Reliability
If control pulses are optimized to minimize infidelity, then reliability of quantum gate operations is improved, but laser power requirements and system complexity increase
Solution Approach 1:
The patent uses parameter changes to optimize control pulse characteristics based on measured system parameters. By adjusting pulse duration, frequency, and amplitude according to characterized vibrational mode frequencies, the method achieves high gate fidelity with minimized laser power. The optimization process finds parameter sets that are most efficient for the specific hardware configuration, avoiding excessive power consumption while maintaining reliability.
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 infidelity of quantum gate operations, stabilizes entanglement against parameter drifts, and minimizes laser power requirements, enabling more reliable and efficient quantum computation without frequent characterization.
Implementation Method 1
These hyperfine states can be controlled using radiation provided from a laser
Implementation Method 2
their internal hyperfine states detected by fluorescence upon application of a resonant laser beam
Implementation Method 3
A pair of ions can be controllably entangled (two-qubit gate operations) by qubit-state dependent force using laser pulses that couple the ions to the collective motional modes of a group of trapped ions, which arise from the Coulombic interaction between the ions
Implementation Method 4
a group of ions (i.e., charged atoms), which are trapped and suspended in vacuum by electromagnetic fields
Data Source
AI summary
A method of performing a quantum computation process includes computing first Fourier coefficients of a first pulse function of a first control pulse and second Fourier coefficients of a second pulse function of a second control pulse based on a condition for closure of phase space trajectories and a condition for stabilization of phase-space closure, and computing a first linear combination of the computed first Fourier coefficients and a second linear combination of the computed second Fourier coefficients based on a condition for non-zero degree of entanglement, a condition for stabilization of the degree of entanglement, and a condition for minimized power, applying the first control pulse having the computed first pulse function to a first trapped ion of a pair of trapped ions, and the second control pulse having the computed second pulse function to a second trapped ion of a pair of trapped ions.