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arXiv quant-ph/0607105quant-ph
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序贯量子克隆

Sequential Quantum Cloning

Y. Delgado, L. Lamata, J. Leon, D. Salgado, E. Solano

摘要:

并非所有对一组量子位的酉操作都可以通过每个量子位与辅助系统之间的顺序相互作用来实现。我们分析了序列量子克隆1->M的特殊情况,证明了辅助子的最小维数D随克隆数M线性增长。特别地,我们得到了对称泛量子克隆的D = 2 M和对称相位协变克隆的D = M+1。此外,我们为这两种情况下的顺序过程的每个步骤中所需的辅助量子位相互作用提供了一个配方。

英文摘要:

Not all unitary operations upon a set of qubits can be implemented by sequential interactions between each qubit and an ancillary system. We analyze the specific case of sequential quantum cloning 1->M and prove that the minimal dimension D of the ancilla grows linearly with the number of clones M. In particular, we obtain D = 2M for symmetric universal quantum cloning and D = M+1 for symmetric phase-covariant cloning. Furthermore, we provide a recipe for the required ancilla-qubit interactions in each step of the sequential procedure for both cases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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