Geometry of Quantum Computation with Qutrits

被引：0
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作者：
Bin Li
Zu-Huan Yu
Shao-Ming Fei
机构：
[1] School of Mathematical Sciences,
[2] Capital Normal University,undefined
[3] School of Mathematics and Statistics,undefined
[4] Northeast Normal University,undefined
来源：
Scientific Reports | / 3卷
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摘要：
Determining the quantum circuit complexity of a unitary operation is an important problem in quantum computation. By using the mathematical techniques of Riemannian geometry, we investigate the efficient quantum circuits in quantum computation with n qutrits. We show that the optimal quantum circuits are essentially equivalent to the shortest path between two points in a certain curved geometry of SU(3n). As an example, three-qutrit systems are investigated in detail.
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