Quantum cloning machines and the applications
No-cloning theorem is fundamental for quantum mechanics and for quantum information
science that states an unknown quantum state cannot be cloned perfectly. However, we can …
science that states an unknown quantum state cannot be cloned perfectly. However, we can …
The asymmetric quantum cloning region
Quantum cloning is a fundamental protocol of quantum information theory. Perfect universal
quantum cloning is prohibited by the laws of quantum mechanics, only imperfect copies …
quantum cloning is prohibited by the laws of quantum mechanics, only imperfect copies …
A simplified formalism of the algebra of partially transposed permutation operators with applications
M Mozrzymas, M Studziński… - Journal of Physics A …, 2018 - iopscience.iop.org
Herein we continue the study of the representation theory of the algebra of permutation
operators acting on the $ n $-fold tensor product space, partially transposed on the last …
operators acting on the $ n $-fold tensor product space, partially transposed on the last …
Group-representation approach to universal quantum cloning machines
M Studziński, P Ćwikliński, M Horodecki, M Mozrzymas - Physical Review A, 2014 - APS
In this work, we revisit the problem of finding an admissible region of fidelities obtained after
the application of an arbitrary 1→ N universal quantum cloner which has been recently …
the application of an arbitrary 1→ N universal quantum cloner which has been recently …
A geometrical description of the universal asymmetric quantum cloning region
We consider the problem of determining the achievable region of the universal 1 → 2 1→ 2
asymmetric quantum cloning problem. This concerns the quantum cloning of any quantum …
asymmetric quantum cloning problem. This concerns the quantum cloning of any quantum …
Commutant structure of U⊗(n− 1)⊗ U* transformations
M Studziński, M Horodecki… - Journal of Physics A …, 2013 - iopscience.iop.org
In this paper we have found irreducible representations (irreps) of the algebra of partially
transposed permutation operators on the last subsystem. We give here the direct method of …
transposed permutation operators on the last subsystem. We give here the direct method of …
Optimal universal quantum cloning: Asymmetries and fidelity measures
A Kay - Quantum Information & Computation, 2016 - dl.acm.org
We study the problem of universal quantum cloning-taking several identical copies of a pure
but unknown quantum state and producing further copies. While it is well known that it is …
but unknown quantum state and producing further copies. While it is well known that it is …
Universal asymmetric quantum cloning revisited
AK Hashagen - arXiv preprint arXiv:1607.03723, 2016 - arxiv.org
This paper revisits the universal asymmetric $1\to 2$ quantum cloning problem. We identify
the symmetry properties of this optimisation problem, giving us access to the optimal …
the symmetry properties of this optimisation problem, giving us access to the optimal …
Unified quantum no-go theorems and transforming of quantum pure states in a restricted set
The linear superposition principle in quantum mechanics is essential for several no-go
theorems such as the no-cloning theorem, the no-deleting theorem and the no-superposing …
theorems such as the no-cloning theorem, the no-deleting theorem and the no-superposing …
Units of rotational information
Entanglement in angular momentum degrees of freedom is a precious resource for quantum
metrology and control. Here we study the conversions of this resource, focusing on Bell pairs …
metrology and control. Here we study the conversions of this resource, focusing on Bell pairs …