摘要
In this thesis, a systematic and comprehensive method is reported to obtain all factorizations of a quantum circuit. The result is obtained by searching all Cartan decompositions in a structure called quotient-algebra partition and taking all decomposition paths into consideration. Accordingly, the optimal construction requiring the minimum number of CNOTs for an arbitrary quantum circuit is achieved.
關鍵字
量子線路參考文獻
Navin Khaneja, et al. Phys. Rev. A. 63 , 032308 (2001).
Farrokh Vatan, et al. Phys. Rev. A 69, 032315 (2004).
Synthesis of Quantum Logic Circuits, Vivik V. Shende et al.(2006), quant-ph/0406176
Constructive Quantum Shannon Decomposition from Cartan Involutions, Byron Drury, Peter Love; quant-ph 0806.4015 jun 2008.
Quotient Algebra and Cartan Decomposition for su(N) I, Zheng-Yao Su; quant-ph/0603190 22 Mar 2006.
延伸閱讀
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- Li, Y. C. (2021). 朝向技術相關量子電路最佳化 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU202104301
- Chou, C. L., & Hsu, L. Y. (2003). 對稱量子態的最佳化偵測. 中原學報, 31(3), 161-168. https://doi.org/10.6358/JCYU.200309.0161
- 張永嘉、楊健生、林昆蔚（2022）。量子電腦之電路設計發展與應用。電工通訊季刊，()，54-65。https://doi.org/10.6328/CIEE.202209_(3).0006
- Chou, Y. H. (2009). 量子布林電路可測試性之研究 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2009.00214