论文标题
带有横向t的最小代码
The Smallest Code with Transversal T
论文作者
论文摘要
我们证明，最小的距离3量子错误校正Clifford组以外的横向门是众所周知的15 QUITION REED-MULLER代码，也称为三ottrolodonal代码。我们的结果依赖于以前的工作少的假设。我们通过找到最小的代码，还具有任何其他非Clifford横向单量门门，进一步扩展了结果。
We prove that the smallest distance 3 Quantum Error Correcting Code with a transversal gate outside the Clifford group is the well-known 15-qubit Reed-Muller code, also known as a tri-orthogonal code. Our result relies on fewer assumptions than previous works. We further extend this result by finding the minimal code that also possesses any other non Clifford transversal single-qubit gate.
