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Quantum no-cloning, the impossibility of perfectly cloning an arbitrary unknown quantum state, is one of the most fundamental limitations due to the laws of quantum mechanics, which underpin the physical security of quantum key…

We show that inseparability of quantum states can be partially broadcasted (copied, cloned) with the help of local operations, i.e. distant parties sharing an entangled pair of spin 1/2 states can generate two pairs of partially nonlocally…

Quantum Physics · Physics 2009-10-30 V. Buzek , V. Vedral , M. B. Plenio , P. L. Knight , M. Hillery

We analyze in details a scheme for cloning of Gaussian states based on linear optical components and homodyne detection recently demonstrated by U. L. Andersen et al. [PRL 94 240503 (2005)]. The input-output fidelity is evaluated for a…

Quantum Physics · Physics 2009-11-13 Stefano Olivares , Matteo G. A. Paris , Ulrik L. Andersen

We study quantum cloning machines (QCM) that act on an unknown N-level quantum state and make M copies. We give a formula for the maximum of the fidelity of cloning and exhibit the unitary transformations that realize this optimal fidelity.…

Quantum Physics · Physics 2009-10-31 Sergio Albeverio , Shao-Ming Fei

Perfect Quantum Cloning Machines (QCM) would allow to use quantum nonlocality for arbitrary fast signaling. However perfect QCM cannot exist. We derive a bound on the fidelity of QCM compatible with the no-signaling constraint. This bound…

Quantum Physics · Physics 2009-10-31 Nicolas Gisin

It is known that in phase covariant quantum cloning the equatorial states on the Bloch sphere can be cloned with a fidelity higher than the optimal bound established for universal quantum cloning. We generalize this concept to include other…

Quantum Physics · Physics 2009-11-07 V. Karimipour , A. T. Rezakhani

We present here a scheme that relates seemingly two different kinds of physical impossibilities of quantum information processing. We derive, exact flipping of three arbitrary states not lying in one great circle is not possible with…

Quantum Physics · Physics 2009-11-11 Indrani Chattopadhyay , Debasis Sarkar

We propose a scheme for continuous-variable quantum cloning of coherent states with phase-conjugate input modes using linear optics. The quantum cloning machine yields $M$ identical optimal clones from $N$ replicas of a coherent state and…

Quantum Physics · Physics 2009-11-13 Haixia Chen , Jing Zhang

We consider the problem of manipulating elections by cloning candidates. In our model, a manipulator can replace each candidate c by several clones, i.e., new candidates that are so similar to c that each voter simply replaces c in his vote…

Computer Science and Game Theory · Computer Science 2014-01-21 Edith Elkind , Piotr Faliszewski , Arkadii Slinko

Though the no-cloning theorem [1] prohibits exact replication of arbitrary quantum states, there are many instances in quantum information processing and entanglement measurement in which a weaker form of cloning may be useful. Here, I…

Strongly Correlated Electrons · Physics 2016-10-19 Timothy H. Hsieh

It is well known that (non-orthogonal) pure states cannot be cloned so one may ask: how much or what kind of additional (quantum) information is needed to supplement one copy of a quantum state in order to be able to produce two copies of…

Quantum Physics · Physics 2007-05-23 Richard Jozsa

Different ensembles of quantum states can have the same average nonpure state. Distinguishing between such constructions, via different mixing procedures of the same nonpure quantum state, is known to entail signaling. In parallel,…

General Physics · Physics 2020-06-23 Chirag Srivastava , Sreetama Das , Aditi Sen De , Ujjwal Sen

We consider to treat the usual probabilistic cloning, state separation, unambiguous state discrimination, \emph{etc} in a uniform framework. All these transformations can be regarded as special examples of generalized completely positive…

Quantum Physics · Physics 2009-11-13 Xiang-Fa Zhou , Qing Lin , Yong-Sheng Zhang , Guang-Can Guo

We consider quantum devices for turning a finite number N of d-level quantum systems in the same unknown pure state \sigma into M>N systems of the same kind, in an approximation of the M-fold tensor product of the state \sigma. In a…

Quantum Physics · Physics 2015-06-26 M. Keyl , R. F. Werner

The trade-offs among various output fidelities of asymmetric universal cloning machines are investigated. First we find out all the attainable optimal output fidelities for the 1 to 3 asymmetric universal cloning machine and it turns out…

Quantum Physics · Physics 2015-06-04 Mingming Jiang , Sixia Yu

We study the optimal cloning transformation for two pairs of orthogonal states of two-dimensional quantum systems, and derive the corresponding optimal fidelities.

Quantum Physics · Physics 2009-11-07 Dagmar Bruss , Chiara Macchiavello

A perfect clone in an ordinal election (i.e., an election where the voters rank the candidates in a strict linear order) is a set of candidates that each voter ranks consecutively. We consider different relaxations of this notion:…

Computer Science and Game Theory · Computer Science 2025-09-16 Piotr Faliszewski , Lukasz Janeczko , Grzegorz Lisowski , Kristyna Pekarkova , Ildiko Schlotter

We establish, for various scenarios, whether or not interruptible exact stationary sampling is possible when a finite-state Markov chain can only be viewed passively. In particular, we prove that such sampling is not possible using a single…

Probability · Mathematics 2007-06-13 Keith Crank , James Allen Fill

A bipartite state which is secretly chosen from a finite set of known entangled pure states cannot be immediately useful in standard quantum information processing tasks. To effectively make use of the entanglement contained in this unknown…

Quantum Physics · Physics 2015-05-14 Yangjia Li , Runyao Duan , Mingsheng Ying

We investigate the optimal distribution of quantum information over multipartite systems in asymmetric settings. We introduce cloning transformations that take $N$ identical replicas of a pure state in any dimension as input, and yield a…

Quantum Physics · Physics 2009-11-10 S. Iblisdir , A. Acin , N. Gisin , J. Fiurasek , R. Filip , N. J. Cerf
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