It is well known that it is impossible to clone an arbitrary quantum state. However, this inability does not lead directly to no cloning of quantum coherence. Here, in this article, we show that it is impossible to clone the coherence of an arbitrary quantum state. In particular, with an ancillary system as machine state, we show that it is impossible to clone the coherence of states whose coherence is greater than the coherence of the known states on which the transformations are defined. Also, we characterize the class of states for which coherence cloning will be possible for a given choice of machine. Furthermore, we find the maximum range of states whose coherence can be cloned perfectly. The impossibility proof also holds when we do not include machine states. Lastly, we generalize the impossibility of cloning of coherence in terms of dimension of the quantum state and coherence measure taken into consideration.It is well known that it is impossible to clone an arbitrary quantum state. However, this inability does not lead directly to no cloning of quantum coherence. Here, in this article, we show that it is impossible to clone the coherence of an arbitrary quantum state. In particular, with an ancillary system as machine state, we show that it is impossible to clone the coherence of states whose coherence is greater than the coherence of the known states on which the transformations are defined. Also, we characterize the class of states for which coherence cloning will be possible for a given choice of machine. Furthermore, we find the maximum range of states whose coherence can be cloned perfectly. The impossibility proof also holds when we do not include machine states. Lastly, we generalize the impossibility of cloning of coherence in terms of dimension of the quantum state and coherence measure taken into consideration.

arXiv:1806.05706Physical Review AFeb 23, 20219 citations

Universal quantum cloning

V. Buž Ek, Mark S. Hillery

Optics and SpectroscopyOct 1, 19990 citations

Twelve years before the quantum no-cloning theorem

Juan Ortigoso

The celebrated quantum no-cloning theorem establishes the impossibility of making a perfect copy of an unknown quantum state. The discovery of this important theorem for the field of quantum information is currently dated 1982. I show here that an article published in 1970 [J. L. Park, Found. Phys. 1, 23–33 (1970)] contained an explicit mathematical proof of the impossibility of cloning quantum states. I analyze Park's demonstration in the light of published explanations concerning the genesis of the better-known papers on no-cloning.The celebrated quantum no-cloning theorem establishes the impossibility of making a perfect copy of an unknown quantum state. The discovery of this important theorem for the field of quantum information is currently dated 1982. I show here that an article published in 1970 [J. L. Park, Found. Phys. 1, 23–33 (1970)] contained an explicit mathematical proof of the impossibility of cloning quantum states. I analyze Park's demonstration in the light of published explanations concerning the genesis of the better-known papers on no-cloning.

arXiv:1707.06910American Journal of PhysicsFeb 20, 201857 citations

Quantum cloning without signaling

N. Gisin

arXiv:quant-ph/9801005Physics Letters AMay 1, 1998164 citations

Quantum cloning machines and the applications

Heng Fan, Yi-Nan Wang, Li Jing +4 more

arXiv:1301.2956Physics ReportsJul 10, 2014121 citations

No-cloning with unitary scaling

Dafa Li

It is known that the classical information like strings of bits can be copied. In 1982, Wootters and Zurek proposed the quantum no-cloning principle. No-cloning principle says that it is impossible to make an identical copy of an arbitrary unknown quantum pure state by using unitary evolution. In this paper, we call U $|ψ>$ , where U is any unitary operator, a U-copy of the state $|ψ>$ and show it is impossible to make a U-copy of an arbitrary unknown quantum pure state by using unitary evolution.It is known that the classical information like strings of bits can be copied. In 1982, Wootters and Zurek proposed the quantum no-cloning principle. No-cloning principle says that it is impossible to make an identical copy of an arbitrary unknown quantum pure state by using unitary evolution. In this paper, we call U $|ψ>$, where U is any unitary operator, a U-copy of the state $|ψ>$ and show it is impossible to make a U-copy of an arbitrary unknown quantum pure state by using unitary evolution.

quant-pharXiv:2604.22960Apr 28, 20260 citations

|ψ>

, where U is any unitary operator, a U-copy of the state

|ψ>

and show it is impossible to make a U-copy of an arbitrary unknown quantum pure state by using unitary evolution.