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Quantum Information Processing
Published in: Quantum Information Processing 11/2013

01-11-2013 | Erratum

Erratum to: Shared quantum control via sharing operation on remote single qutrit

Authors: Daochu Liu, Yimin Liu, Chuanmei Xie, Xiaofeng Yin, Xiansong Liu, Zhanjun Zhang

Published in: Quantum Information Processing | Issue 11/2013

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There is an error in the original version of this article. Specifically, the operators \(W\)’s defined by the Eq. (20) in the original version should be unitary in physics. This requirement directly leads to a constraint \(xx^{*}=yy^{*}=zz^{*}=1/3\). Unfortunately, the constraint is neglected in the original version. By virtue of the constraint, the three cases (1–3) following the Eq. (20) in the original version should be removed, for the corresponding operators \(W\)’s there are non-unitary. Nonetheless, the unitarity of the operators \(W\)’s in the case (4) is satisfied, and hence, the case (4) can be kept. In this condition, one can easily find that an arbitrary operation \(U\) can only be shared with probability 1/3. However, if it is known to be diagonal, i.e., belong to the set \(U^{(1) }\)in the original version, then the sharing of it can be achieved in a deterministic manner. In terms of the above descriptions, all the irrelative statements in the discussion in the original version should be simply removed. …
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Metadata
Title
Erratum to: Shared quantum control via sharing operation on remote single qutrit
Authors
Daochu Liu
Yimin Liu
Chuanmei Xie
Xiaofeng Yin
Xiansong Liu
Zhanjun Zhang
Publication date
01-11-2013
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2013
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0632-7

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