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A Geometric Characterization of Quantum Gates |
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| Authors: | He Yi-Bin Wang Li |
| Affiliation: | 1.College of Software, Taiyuan University of Technology, Taiyuan, Shanxi, 030024, People’s Republic of China ;2.College of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi, 030024, People’s Republic of China ; |
| Abstract: | Quantum gates are unitary operators and pure states are denoted by unit vectors in state spaces. A quantum gate (i.e., unitary operator) maps convex combinations of vectors in the closed unit ball of the state space to themselves. On the contrary, whether or not some kinds of convex combinations preserving maps on the closed unit ball of the state space are unitary. In the paper, we devote to giving an answer to the inverse problem. |
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