Geometry of Quantum Computation with Qudits

The circuit complexity of quantum qubit system evolution as a primitive problem in quantum computation has been discussed widely. We investigate this problem in terms of qudit system. Using the Riemannian geometry the optimal quantum circuits are equivalent to the geodetic evolutions in specially cu...

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Bibliographic Details
Main Authors: Luo, Ming-Xing, Chen, Xiu-Bo, Yang, Yi-Xian, Wang, Xiaojun
Format: Online
Language:English
Published: Nature Publishing Group 2014
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4070285/