期刊
ADVANCED QUANTUM TECHNOLOGIES
卷 5, 期 5, 页码 -出版社
WILEY
DOI: 10.1002/qute.202100136
关键词
higher-dimensional space; linear optics; quantum computation; quantum circuits; quantum gates
资金
- National Natural Science Foundation of China [11604012]
- Fundamental Research Funds for the Central Universities [FRF-TP-19-011A3, 230201506500024]
- China Scholarship Council
- Ministry of Education
- National Research Foundation Singapore
Universal quantum entangling gates are crucial for large-scale quantum computation and communication, and this paper presents a simple and effective quantum circuit for their implementation. It also demonstrates the design of polarization CNOT and Toffoli gates using linear optics.
Universal quantum entangling gates are a crucial building block in the large-scale quantum computation and quantum communication, and it is an important task to find simple ways to implement them. Here an effective quantum circuit for the implementation of a controlled-NOT (CNOT) gate is constructed by introducing a non-computational quantum state in the auxiliary space. Furthermore, the method is extended to the construction of a general n-control-qubit Toffoli gate with (2n-1)$(2n-1)$ qubit-qudit gates and (2n-2)$(2n-2)$ single-qudit gates. Based on the presented quantum circuits, the polarization CNOT and Toffoli gates with linear optics are designed by operating on the spatial-mode degree of freedom of photons. The proposed optical schemes can be achieved with a higher success probability and no extra auxiliary photons are needed.
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