用量子优化方法自适应选择磁共振采样点,提升成像质量。
Quantum Adaptive Sensing for Accelerated MRI

- 基于固定数量的二次无约束二元优化(QUBO)动态选点
- 在20%和10%采样率下,各项指标均优于传统静态采样方法
- 可在现有量子硬件上实现,为未来量子优势铺路
压缩感知通过从欠采样的k空间重建图像加速MRI,但性能高度依赖采样分布。本文提出一种自适应框架,使用固定基数的二次无约束二元优化(QUBO)公式顺序选择笛卡尔相位编码线。目标函数结合了对中心k空间的偏好、先前测量的信号能量信息,以及鼓励空间分散采样的成对项。该公式兼容经典退火与量子退火硬件。回顾性实验使用模拟的八通道3D MRI数据;QUBO问题通过并行退火求解,图像采用SENSE与全变差正则化重建。在20%和10%采样率下,所提方法在PSNR、SSIM、NMSE和HFEN上均优于对比的静态笛卡尔策略(包括变密度泊松盘采样),尽管增益随分辨率、加速度和噪声水平变化。在缩减池实验中,D-Wave量子-经典混合求解器达到与变密度泊松盘采样相当的重建质量,证明当前量子优化基础设施的可行性。尽管未确立量子计算优势,该直接的QUBO表示提供了一种实用的自适应MRI采样框架,或可受益于未来量子退火硬件进展。前瞻性扫描仪验证与系统的量子-经典基准测试仍需开展。
原文摘要 · Abstract (English)
Compressed sensing accelerates MRI by reconstructing images from undersampled k-space, but performance depends strongly on sampling distribution. We propose an adaptive framework that selects Cartesian phase-encode lines sequentially using a fixed-cardinality quadratic unconstrained binary optimization (QUBO) formulation. The objective combines a preference for central k-space, signal-energy information from previously acquired measurements, and pairwise terms that encourage spatially dispersed sampling. The formulation is compatible with classical annealing and quantum-annealing hardware. Retrospective experiments used simulated eight-coil 3D MRI data; QUBO problems were solved with parallel tempering, and images were reconstructed with SENSE and total-variation regularization. At 20% and 10% sampling, the proposed method improved PSNR, SSIM, NMSE, and HFEN compared with the evaluated static Cartesian strategies, including variable-density Poisson-disc sampling, although gains varied with resolution, acceleration, and noise level. In a reduced-pool experiment, a D-Wave quantum-classical hybrid solver achieved reconstruction quality comparable to variable-density Poisson-disc sampling, demonstrating feasibility on current quantum optimization infrastructure. While these results do not establish quantum computational advantage, the direct QUBO representation provides a practical framework for adaptive MRI sampling and may benefit from future advances in quantum-annealing hardware. Prospective scanner validation and systematic quantum-classical benchmarking remain necessary.
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