近日，加拿大滑铁卢大学的Lane G. Gunderman及其研究团队取得一项新进展。经过不懈努力，他们成功地将泡利算符集合转换为等效的最小寄存器上泡利算符集合。相关研究成果已于2023年6月16日国际知名学术期刊《物理评论A》上发表。

该研究团队基于纠缠辅助量子纠错码和量子卷积码的思想，成功证明了表示与初始操作等效的泡利操作所需的最小量子比特数量的下界，并提供了确定这组最小寄存器泡利操作的方法。

据悉，将费米子模式转换为量子比特操作的转换已经成为量子算法中模拟系统的一种常见工具。类似地，可以通过解决非局域游戏和可满足性问题来获得一组泡利算符。

附：英文原文

Title: Transforming collections of Pauli operators into equivalent collections of Pauli operators over minimal registers

Author: Lane G. Gunderman

Issue&Volume: 2023/06/16

Abstract: Transformations which convert between fermionic modes and qubit operations have become a ubiquitous tool in quantum algorithms for simulating systems. Similarly, collections of Pauli operators might be obtained from solutions of nonlocal games and satisfiability problems. Drawing on ideas from entanglement-assisted quantum error-correcting codes and quantum convolutional codes, we prove the obtainable lower bound for the number of qubits needed to represent such Pauli operations which are equivalent to the initial ones and provide a procedure for determining such a set of minimal register Pauli operations.

DOI: 10.1103/PhysRevA.107.062416

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.107.062416