A Geometric Characterization of Quantum Gates
Autor: | Yi-Bin He, Li Wang |
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Rok vydání: | 2019 |
Předmět: |
Unit sphere
Pure mathematics Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics General Mathematics State (functional analysis) Inverse problem 01 natural sciences Unitary state Quantum gate Unit vector 0103 physical sciences Unitary operator State space (physics) 010306 general physics Mathematics |
Zdroj: | International Journal of Theoretical Physics. 58:2218-2227 |
ISSN: | 1572-9575 0020-7748 |
DOI: | 10.1007/s10773-019-04112-9 |
Popis: | 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. |
Databáze: | OpenAIRE |
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