林海onrush
(2024-09-01 00:00):
#paper, DOI: 10.1088/1367-2630/ab8ab1 ,Randomized benchmarking for qudit Clifford gates,这篇论文研究了如何将随机基准测试（RB）技术从传统的量子比特（qubit）扩展到量子系统中的更高维度（qudit），即具有两个以上能级的量子系统。通过引入单位2-设计（U2D），作者开发了适用于qudit Clifford门的随机基准测试协议，并提供了详细的伪代码算法。这种方法允许有效地评估qudit门的平均保真度，进而为更复杂的量子计算系统提供了可靠的性能表征手段。
同时讨论为什么不能简单地将多量子比特的RB结果应用于qudit系统，特别强调qudit Clifford门的独特性及其不同于qubit的特点。研究为未来基于qudit的量子计算提供了实验测试的理论基础，特别是在利用光子实现的qudit量子计算中, 为高维量子系统的基准测试奠定了基础，有助于推动量子计算的扩展和容错能力的发展。
New Journal of Physics,
2020-6-1.
DOI: 10.1088/1367-2630/ab8ab1
Randomized benchmarking for qudit Clifford gates
Mahnaz Jafarzadeh,
Ya-Dong Wu,
Yuval R Sanders,
Barry C Sanders
Abstract:
Abstract<br> We introduce unitary-gate randomized benchmarking (URB) for qudit gates by extending single- and multi-qubit URB to single- and multi-qudit gates. Specifically, we develop a qudit URB procedure that exploits unitary 2-designs. Furthermore, we show that our URB procedure is not simply extracted from the multi-qubit case by equating qudit URB to URB of the symmetric multi-qubit subspace. Our qudit URB is elucidated by using pseudocode, which facilitates incorporating into benchmarking applications.
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