Optimal Cloning of Symmetric Pure States on Bloch Sphere’s Equator
碩士 === 國立東華大學 === 應用物理研究所 === 98 === We study the optimal cloning transformation for a set of n pure states symmetrically distributed on a Bloch sphere equator, and derive the corresponding optimal fidelities, where the output of the cloner is required to be supported on the symmetric subspace. We f...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2010
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| Online Access: | http://ndltd.ncl.edu.tw/handle/17753844462843401783 |
| Summary: | 碩士 === 國立東華大學 === 應用物理研究所 === 98 === We study the optimal cloning transformation for a set of n pure states
symmetrically distributed on a Bloch sphere equator, and derive the corresponding
optimal fidelities, where the output of the cloner is required to be
supported on the symmetric subspace. We find that the optimal cloning of
an arbitrary finite number n of quantum pure states that are symmetrically
distributed on the equator of the Bloch sphere is equivalent to optimally
cloning the whole equator of the Bloch sphere. This shows that fidelity is
the same for any equatorial qubit, i.e., it does not depend on the value of the
phase. We also give the explicit form of a optimal cloning transformation
for the case n = 2.
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