Sequential quantum cloning

Y. Delgado; L. Lamata; J. León; D. Salgado; E. Solano

Sequential quantum cloning

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

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

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. © 2007 The American Physical Society.

Original language	Spanish
Journal	Physical Review Letters
Volume	98
State	Published - 13 Apr 2007
Externally published	Yes

Cite this

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title = "Sequential quantum cloning",

abstract = "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. {\textcopyright} 2007 The American Physical Society.",

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AU - Delgado, Y.

AU - Lamata, L.

AU - León, J.

AU - Salgado, D.

AU - Solano, E.

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N2 - 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. © 2007 The American Physical Society.

AB - 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. © 2007 The American Physical Society.

M3 - Artículo

SN - 0031-9007

VL - 98

JO - Physical Review Letters

JF - Physical Review Letters

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