利用Hadamard矩阵有效实现异自旋系统的选择性再耦合
Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices
摘要：
本文提出了一个有效的方案，它可以耦合异自旋系统中任意指定的自旋对。该方案是基于Hadamard矩阵的存在性。对于具有成对耦合的$n$自旋的系统，该方案串联系统演化的$cn$间隔，并且最多使用$c n^2$脉冲，其中$c \approx 1$。我们的研究结果表明，在许多系统中，选择性的重新耦合是可能的线性开销，相反，通常的猜测，指数的努力总是需要的。
英文摘要：
We present an efficient scheme which couples any designated pair of spins in heteronuclear spin systems. The scheme is based on the existence of Hadamard matrices. For a system of $n$ spins with pairwise coupling, the scheme concatenates $cn$ intervals of system evolution and uses at most $c n^2$ pulses where $c \approx 1$. Our results demonstrate that, in many systems, selective recoupling is possible with linear overhead, contrary to common speculation that exponential effort is always required.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
