Quantum cloning machines and the applications

H Fan, YN Wang, L Jing, JD Yue, HD Shi, YL Zhang… - Physics Reports, 2014 - Elsevier
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 …

The asymmetric quantum cloning region

I Nechita, C Pellegrini, D Rochette - Letters in Mathematical Physics, 2023 - Springer
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 …

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 …

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 …

A geometrical description of the universal  asymmetric quantum cloning region

I Nechita, C Pellegrini, D Rochette - Quantum Information Processing, 2021 - Springer
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 …

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 …

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 …

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 …

Unified quantum no-go theorems and transforming of quantum pure states in a restricted set

MX Luo, HR Li, H Lai, X Wang - Quantum Information Processing, 2017 - Springer
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 …

Units of rotational information

Y Yang, G Chiribella, Q Hu - New Journal of Physics, 2017 - iopscience.iop.org
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 …