Unified universal quantum cloning machine and fidelities

Wang, Yi Nan; Shi, Handuo; Xiong, Zhaoxi; Li, Jing; Ren, Xi-Jun; Mu, Liang-Zhu; Fan, Heng

doi:10.1103/physreva.84.034302

Cited by 22 publications

(23 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A big effort has been made to solve it, starting from the work of Hillery and Buzek [3]. In general, the subject was studied intensively, both for symmetric (all fidelities are equal) Universal Quantum Cloning Machines (UQCM) [4][5][6][7][8], and asymmetric (unequal fidelities) UQCM [8][9][10][11][12][13][14][15][16]. See also [17,18] for reviews.…”

Section: Introductionmentioning

confidence: 99%

Group-representation approach to1→Nuniversal quantum cloning machines

et al. 2014

View full text Add to dashboard Cite

In this work, we revisit the problem of finding an admissible region of fidelities obtained after an application of an arbitrary 1 → N universal quantum cloner which has been recently solved in [A. Kay et al., Quant. Inf. Comput 13, 880 (2013)] from the side of cloning machines. Using grouptheory formalism, we show that the allowed region for fidelities can be alternatively expressed in terms of overlaps of pure states with recently found irreducible representations of the commutant U ⊗ U ⊗ . . . ⊗ U ⊗ U * , which gives the characterization of the allowed region where states being cloned are figure of merit. Additionally, it is sufficient to take pure states with real coefficients only, which makes calculations simpler. To obtain the allowed region, we make a convex hull of possible ranges of fidelities related to a given irrep. Subsequently, two cases: 1 → 2 and 1 → 3 cloners, are studied for different dimensions of states as illustrative examples.

show abstract

Section: Introductionmentioning

confidence: 99%

Group-representation approach to1→Nuniversal quantum cloning machines

et al. 2014

View full text Add to dashboard Cite

show abstract

“…[24]. By using the local recovery unitary operators (LRUOs) according to the publicly announced POVM results, each client can obtain their optimal state which is consistent with the optimal quantum cloning [25][26][27][28][29][30][31]. The entangled state used in this network teleportation takes the form…”

Section: Quantum Network Teleportation For Quantum Information DImentioning

confidence: 99%

Quantum network teleportation for quantum information distribution and concentration

et al. 2013

Self Cite

View full text Add to dashboard Cite

We investigate the schemes of quantum network teleportation for quantum information distribution and concentration, which are essential in quantum cloud computation and the quantum internet. In those schemes, with the prior shared entanglement in the quantum network, the cloud can send simultaneously identical unknown quantum states to clients located in different places. Additionally, with the same entanglement resource, these clients can concentrate their states to the cloud to reconstruct the original state. The number of clients can be beyond the number of identical quantum states intentionally being sent; this quantum network teleportation can make sure that the quantum states' distribution is optimal in the sense that the fidelity achieves the upper bound. These schemes facilitate the quantum information distribution and concentration in quantum networks in the framework of quantum cloud computation. Potential applications in time synchronization and the photonic implementation of those schemes are discussed.

show abstract

“…However, it is unfortunate that quantum discord given in Eq. (27) has not an analytic form for a general quantum state. So we have to numerically calculate the discord.…”

Section: Quantum Discordmentioning

confidence: 99%

“…al. [35], respectively, is defined based on the loss of the information induced by some optimal measurements on only one subsystem (27) where S(·) represents the von Neumann entropy and…”

Section: Quantum Discordmentioning

confidence: 99%

“…The approximate quantum cloning has attracted widely interests and there appears many interesting quantum cloning machines such as the phase-covariant quantum cloning [13,14,15,16,17,18], the optimal phase-independent cloning [20], entanglement of quantum cloning [21,22,23,24], the orthogonal qubit quantum cloning [25], the optimal nonorthogonal quantum cloning [26] and so on [6,7]. Among the various quantum clonings, Wang et al have proposed a unified way to construct general asymmetric universal quantum cloning machine [27]. In particular, the Buzek-Hillery quantum cloning machine (BHC) has shown to be a universal one because it achieves equal fidelity 5 6 for any quantum state a quaninformation@sina.com; ycs@dlut.edu.cn [28].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The roles of quantum correlations in quantum cloning

Zhang

2014

Eur. Phys. J. D

View full text Add to dashboard Cite

Abstract. In this paper, we study the entanglement and quantum discord of the output modes in the unified 1 → 2 state-dependent cloning and probabilistic quantum cloning. The tripartite entanglement among the output modes and the quantum cloning machine is also considered. We find that the roles of the quantum correlations including the bipartite and tripartite entanglement and quantum discord strongly depend on the quantum cloning machines as well as the cloned state. In particular, it is found that this quantum cloning scheme can be realizable even without any quantum correlation.

show abstract

Unified universal quantum cloning machine and fidelities

Cited by 22 publications

References 27 publications

Group-representation approach to1→Nuniversal quantum cloning machines

Group-representation approach to1→Nuniversal quantum cloning machines

Quantum network teleportation for quantum information distribution and concentration

The roles of quantum correlations in quantum cloning

Contact Info

Product

Resources

About