Universal quantum multi-qubit entangling gates with auxiliary spaces
- URL: http://arxiv.org/abs/2105.10631v3
- Date: Wed, 30 Mar 2022 02:47:22 GMT
- Title: Universal quantum multi-qubit entangling gates with auxiliary spaces
- Authors: Wen-Qiang Liu, Hai-Rui Wei, Leong-Chuan Kwek
- Abstract summary: We present an effective quantum circuit for the implementation of a controlled-NOT (CNOT) gate.
The method is extended to the construction of a general n-control-qubit Toffoli gate with (2n-1) qubit-qudit gates and (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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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) qubit-qudit gates and (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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