Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters A

Quantum correlations support probabilistic pure state cloning

Luis Roa, M. Alid-Vaccarezza, Cristian Ignacio Jara-Figueroa, A. B. Klimov

Published Feb 1, 2014• 7 citations
Publisher
DOI
10.1016/j.physleta.2014.01.044

Related papers

Cloning and Broadcasting in Generic Probabilistic Theories

Howard Barnum, Jonathan Barrett, Matthew Leifer +1 more

We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well as models supporting ``super-quantum'' correlations that violate the Bell inequalities to a larger extent than quantum theory. The proof of our no-broadcasting theorem is significantly more natural and more self-contained than others we have seen: we show that a set of states is broadcastable if, and only if, it is contained in a simplex whose vertices are cloneable, and therefore distinguishable by a single measurement. This necessary and sufficient condition generalizes the quantum requirement that a broadcastable set of states commute.

arXiv:quant-ph/0611295•Nov 30, 2006•59 citations

Probabilistic quantum cloning of real states

Wen‐Hai Zhang, Dai Jie-lin, Zhuo‐Liang Cao +1 more

Optics Communications•Jan 8, 2010•9 citations

The roles of quantum correlations in quantum cloning

Jun Zhang, Shao-xiong Wu, Chang-shui Yua

In this paper, we study the entanglement and quantum discord of the output modes in the unified 1 → 2 state-dependent cloning and probabilistic quantum cloning. The tripartite entanglement among the output modes and the quantum cloning machine is also considered. We find that the roles of the quantum correlations including the bipartite and tripartite entanglement and quantum discord strongly depend on the quantum cloning machines as well as the cloned state. In particular, it is found that this quantum cloning scheme can be realizable even without any quantum correlation.

•Aug 17, 2016•0 citations

The roles of quantum correlations in quantum cloning

Jun Zhang, Shao-xiong Wu, Chang-shui Yu

arXiv:1411.7456•The European Physical Journal D•Dec 1, 2014•0 citations

Local cloning of two product states

Zhengfeng Ji, Yuan Feng, Mingsheng Ying

Local quantum operations and classical communication (LOCC) put considerable constraints on many quantum information processing tasks such as cloning and discrimination. Surprisingly, however, discrimination of any two pure states survives such constraints in some sense. We show that cloning is not that lucky; namely, probabilistic LOCC cloning of two product states is strictly less efficient than global cloning. We prove our result by giving explicitly the efficiency formula of local cloning of any two product states.

arXiv:quant-ph/0501089•Physical Review A•Sep 19, 2005•5 citations

Probabilistic quantum cloning of a subset of linearly dependent states

Pinshu Rui, Wen Zhang, Yan-Lin Liao +1 more

The European Physical Journal D•Feb 1, 2018•3 citations
We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well as models supporting ``super-quantum'' correlations that violate the Bell inequalities to a larger extent than quantum theory. The proof of our no-broadcasting theorem is significantly more natural and more self-contained than others we have seen: we show that a set of states is broadcastable if, and only if, it is contained in a simplex whose vertices are cloneable, and therefore distinguishable by a single measurement. This necessary and sufficient condition generalizes the quantum requirement that a broadcastable set of states commute.
In this paper, we study the entanglement and quantum discord of the output modes in the unified 1 → 2 state-dependent cloning and probabilistic quantum cloning. The tripartite entanglement among the output modes and the quantum cloning machine is also considered. We find that the roles of the quantum correlations including the bipartite and tripartite entanglement and quantum discord strongly depend on the quantum cloning machines as well as the cloned state. In particular, it is found that this quantum cloning scheme can be realizable even without any quantum correlation.
Local quantum operations and classical communication (LOCC) put considerable constraints on many quantum information processing tasks such as cloning and discrimination. Surprisingly, however, discrimination of any two pure states survives such constraints in some sense. We show that cloning is not that lucky; namely, probabilistic LOCC cloning of two product states is strictly less efficient than global cloning. We prove our result by giving explicitly the efficiency formula of local cloning of any two product states.