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The no-cloning theorem states that an unknown quantum state cannot be cloned exactly and deterministically due to the linearity of quantum mechanics. Associated with this theorem is the quantitative no-cloning limit that sets an upper bound…

Unclonable cryptography leverages the quantum no-cloning principle to copy-protect cryptographic functionalities. While most existing works address the basic single-copy security, the stronger notion of multi-copy security remains largely…

Quantum Physics · Physics 2025-10-15 Alper Çakan , Vipul Goyal , Fuyuki Kitagawa , Ryo Nishimaki , Takashi Yamakawa

Quantum devices, from simple fixed-function tools to the ultimate goal of a universal quantum computer, will require high quality, frequent repetition of a small set of core operations, such as the preparation of entangled states. These…

Quantum Physics · Physics 2018-05-22 Alastair Kay

The no-cloning theorem asserts that, unlike classical information, quantum information cannot be copied. This seemingly undesirable phenomenon is harnessed in quantum cryptography. Uncloneable cryptography studies settings in which the…

Quantum Physics · Physics 2022-10-27 Or Sattath

We address the general problem of removing correlations from quantum states while preserving local quantum information as much as possible. We provide a complete solution in the case of two qubits, by evaluating the minimum amount of noise…

Here we report an experimental realization of optimal phase-covariant quantum cloning machine with a single electron spin in solid state system at room temperature. The involved three states of two logic qubits are encoded physically in…

Quantum Physics · Physics 2015-05-19 Xin-Yu Pan , Gang-Qin Liu , Li-Li Yang , Heng Fan

We compare several optical implementations of phase-covariant cloning machines. The experiments are based on copying of the polarization state of a single photon in bulk optics by special unbalanced beam splitter or by balanced beam…

Quantum Physics · Physics 2008-04-04 J. Soubusta , L. Bartuskova , A. Cernoch , J. Fiurasek , M. Dusek

The influence of the relativistic covariance requirement on the optimality of the symmetric state-dependent 1 -> 2 cloning machine is studied. Namely, given a photonic qubit whose basis is formed from the momentum-helicity eigenstates, the…

Quantum Physics · Physics 2009-11-13 K. Bradler , R. Jauregui

We propose a quantum cloning machine, which clones a qubit into two clones assuming known modulus of expectation value of Pauli Z-matrix. The process is referred to as the mirror phase-covariant cloning, for which the input state is a…

Quantum Physics · Physics 2009-09-10 Karol Bartkiewicz , Adam Miranowicz , Şahin Kaya Özdemir

The notions of qubits and coherent states correspond to different physical systems and are described by specific formalisms. Qubits are associated with a two-dimensional Hilbert space and can be illustrated on the Bloch sphere. In contrast,…

Quantum Physics · Physics 2017-10-18 Christian R. Müller , Gerd Leuchs , Christoph Marquardt , Ulrik L. Andersen

After proving a general no-cloning theorem for black boxes, we derive the optimal universal cloning of unitary transformations, from one to two copies. The optimal cloner is realized by quantum channels with memory, and greately outperforms…

Quantum Physics · Physics 2009-04-14 G. Chiribella , G. M. D'Ariano , P. Perinotti

Macroscopically populated quantum superpositions pose a question to what extent macroscopic world obeys quantum mechanical laws. Recently such superpositions for light, generated by optimal quantum cloner, were demonstrated. They are of…

Quantum Physics · Physics 2012-06-20 Adam Buraczewski , Magdalena Stobińska

No-cloning theorem, a profound fundamental principle of quantum mechanics, also provides a crucial practical basis for secure quantum communication. The security of communication can be ultimately guaranteed if the output fidelity via…

Quantum Physics · Physics 2019-07-12 Jaehak Lee , Jiyong Park , Hyunchul Nha

We study the minimal input sets which can determine completely the universal and the phase-covariant quantum cloning machines. We find that the universal quantum cloning machine, which can copy arbitrary input qubit equally well, however…

Quantum Physics · Physics 2013-01-01 Li Jing , Yi-Nan Wang , Han-Duo Shi , Liang-Zhu Mu , Heng Fan

We propose entangled (M+1)-mode quantum states as a multiuser quantum channel for continuous-variable communication. Arbitrary quantum states can be sent via this channel simultaneously to M remote and separated locations with equal minimum…

Quantum Physics · Physics 2007-05-23 P. van Loock , Samuel L. Braunstein

The security proof of continuous variable (CV) measurement device independent (MDI) quantum key distribution (QKD) cannot be reduced to the analysis of one-mode Gaussian attacks (in particular, independent entangling-cloner attacks). To…

Quantum Physics · Physics 2020-12-22 Carlo Ottaviani , Gaetana Spedalieri , Samuel L. Braunstein , Stefano Pirandola

We analyze the problem of approximate quantum cloning when the quantum state is between two latitudes on the Bloch's sphere. We present an analytical formula for the optimized 1-to-2 cloning. The formula unifies the universal quantum…

Quantum Physics · Physics 2008-06-23 Jia-Zhong Hu , Zong-Wen Yu , Xiang-Bin Wang

Two parties, Alice and Bob, wish to distill a binary secret key out of a list of correlated variables that they share after running a quantum key distribution protocol based on continuous-spectrum quantum carriers. We present a novel…

Cryptography and Security · Computer Science 2007-05-23 G. Van Assche , J. Cardinal , N. J. Cerf

We consider the problem of deterministically cloning quantum channels with respect to the best attainable rate and the highest quality, so-called optimal cloning. We demonstrate that cloning quantum states is, in-fact, equivalent to cloning…

The telecloning protocol distributes quantum states from a single sender to multiple receivers via a shared entangled state by exploiting the notions of teleportation and approximate cloning. We investigate the optimal telecloning…

Quantum Physics · Physics 2024-07-03 Sudipta Das , Rivu Gupta , Himadri Shekhar Dhar , Aditi Sen De