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Telecloning of qudits via partially entangled states

Gabriel Araneda, Nataly Cisternas, Aldo Delgado
2016 Quantum Information Processing  
We study the process of quantum telecloning of d-dimensional pure quantum states using partially entangled pure states as quantum channel.  ...  We also discuss the case of partially entangled pure states with non-maximal Schmidt rank.  ...  Summary We presented a general scheme to probabilistically teleclone qudit states via partially pure entangled channels as described in Eq. (9) .  ... 
doi:10.1007/s11128-016-1348-2 fatcat:kztwd3vobjbuhkdwr63gih4suy

One-to-Many Economical Phase-Covariant Cloning and Telecloning of Qudits

Wang Xin-Wen, Su Yu-Huan, Yang Guo-Jian
2010 Chinese Physics Letters  
We study the one-to-two phase-covariant telecloning of a qudit without ancilla.  ...  More interestingly, it is a nonmaximally entangled state rather than the maximally entangled state that can be used to realize such a telecloning task.  ...  Acknowledgments This research was supported by National Natural Science Foundation of China (Grant No. 11004050).  ... 
doi:10.1088/0256-307x/27/10/100303 fatcat:hy5oc6xteneyji4hm4vnx2knuy

ENTANGLEMENT SHARING: FROM QUBITS TO GAUSSIAN STATES

GERARDO ADESSO, FABRIZIO ILLUMINATI
2006 International Journal of Quantum Information  
We will take off from the domain of N qubits, graze qudits, and finally land in the almost unexplored territory of multimode Gaussian states of continuous variable systems.  ...  for states of three qubits.  ...  This fundamental result extends the findings of Ref. 21 and establishes the general monogamy of distributed Gaussian entanglement. The conjecture raised in Sec. 2.2 is indeed true.  ... 
doi:10.1142/s0219749906001852 fatcat:4vmsuxjdnzg7nlzc5p77fnckgq

Quantum cloning machines and the applications

Heng Fan, Yi-Nan Wang, Li Jing, Jie-Dong Yue, Han-Duo Shi, Yong-Liang Zhang, Liang-Zhu Mu
2014 Physics reports  
Specifically, quantum cloning machines can be designed to analyze the security of quantum key distribution protocols such as BB84 protocol, six-state protocol, B92 protocol and their generalizations.  ...  No-cloning theorem is fundamental for quantum mechanics and for quantum information science that states an unknown quantum state cannot be cloned perfectly.  ...  Acknowledgments This work was supported by ''973 '' program (2010CB922904), NSFC (11175248), NFFTBS (J1030310), and Level B Primary Leading Project (through USTC) of Chinese Academy of Sciences.  ... 
doi:10.1016/j.physrep.2014.06.004 fatcat:vj7bcsrx5ff7vgb5ur5wlhqxym

Remote implementation of quantum operations

Susana F Huelga, Martin B Plenio, Guo-Yong Xiang, Jian Li, Guang-Can Guo
2005 Journal of Optics B-Quantum and Semiclassical Optics  
Shared entanglement allows, under certain conditions, the remote implementation of quantum operations.  ...  We revise and extend recent theoretical results on the remote control of quantum systems as well as experimental results on the remote manipulation of photonic qubits via linear optical elements.  ...  This work was supported by the IRC on Quantum Information of the EPSRC (GR/S82176/0), The EU via the Integrated Project QAP, the Thematic Network QUPRODIS (IST-2002-38877), the Leverhulme Trust (F/07058  ... 
doi:10.1088/1464-4266/7/10/026 fatcat:dulgfyeblrb4vicb56krjyxhsa

Multipartite entanglement [article]

Peter van Loock, Samuel L. Braunstein
2002 arXiv   pre-print
Then, we consider a family of multipartite entangled states (multi-party multi-mode states with one mode per party) described by continuous quantum variables and analyze their properties.  ...  First, we show how the quantum circuits for generating and measuring multi-party entanglement of qubits can be translated to continuous quantum variables.  ...  tracing out either qudit of a maximally entangled state leaves the other half in the maximally mixed state 1 1/d.  ... 
arXiv:quant-ph/0205068v1 fatcat:m4xgoxwoincxzbt7j3m2ar2dsu

Bipartite and Tripartite Entanglement of Truncated Harmonic Oscillator Coherent States via Beam Splitters [article]

M. Daoud, A. Jellal, E. B. Choubabi, E. H. El Kinani
2012 arXiv   pre-print
Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this nonlinear class of harmonic oscillators.  ...  We particularly focus on quantum networks involving one and two beam splitters and examine the degree of bipartite as well as tripartite entanglement using the linear entropy.  ...  AJ & EBC thank the partial support of the Saudi Center for Theoretical Physics (SCTP) of Dhahran & King Faisal University (KFU).  ... 
arXiv:1210.7689v1 fatcat:h7mmjei7cva7zkhiiyznedaayi

Quantum information with continuous variables

Samuel L. Braunstein, Peter van Loock
2005 Reviews of Modern Physics  
It may lead to real-world applications for communication and computation unavailable without the exploitation of quantum properties such as nonorthogonality or entanglement.  ...  Quantum information is a rapidly advancing area of interdisciplinary research.  ...  tracing out either qudit of a maximally entangled state leaves the other half in the maximally mixed state 1 / d.  ... 
doi:10.1103/revmodphys.77.513 fatcat:5d2qoqk3frdzjdfwszarl3zqwy

Certifying quantumness: Benchmarks for the optimal processing of generalized coherent and squeezed states

Yuxiang Yang, Giulio Chiribella, Gerardo Adesso
2014 Physical Review A. Atomic, Molecular, and Optical Physics  
This allows us to construct explicit fidelity thresholds for the transmission of multimode Gaussian and non-Gaussian states of continuous variable systems, as well as qubit and qudit pure states drawn  ...  The performance of deterministic classical procedures such as square-root measurement strategies is further compared with the optimal probabilistic benchmarks, and the state-of-the-art performance of experimental  ...  So far, telecloning has been successfully implemented for Gaussian (coherent) inputs exploiting Gaussian shared entangled states [79] .  ... 
doi:10.1103/physreva.90.042319 fatcat:rrjjx2k4vvcofciuwmx4w6aeoi

Multipartite entanglement in three-mode Gaussian states of continuous-variable systems: Quantification, sharing structure, and decoherence

Gerardo Adesso, Alessio Serafini, Fabrizio Illuminati
2006 Physical Review A. Atomic, Molecular, and Optical Physics  
We present a complete analysis of multipartite entanglement of three-mode Gaussian states of continuous variable systems.  ...  We finally consider the action of decoherence on tripartite entangled Gaussian states, studying the decay of the residual contangle.  ...  entanglement, that might carry over to systems of qubits and qudits.  ... 
doi:10.1103/physreva.73.032345 fatcat:jfzkmayzejcf3jipaiu6iruuke

Quantum discord of Bell cat states under amplitude damping

M Daoud, R Ahl Laamara
2012 Journal of Physics A: Mathematical and Theoretical  
The evolution of pairwise quantum correlations of Bell cat-states under amplitude damping is examined using the concept of quantum discord which goes beyond entanglement.  ...  We also discuss the temporal evolution of bipartite quantum correlations under a dephasing channel and compare the behaviors of quantum discord and entanglement whose properties are characterized through  ...  Introduction Quantum entanglement plays an important role in the area of quantum information such as quantum teleportation [1] , superdense coding [2] , quantum key distribution [3] , telecloning [  ... 
doi:10.1088/1751-8113/45/32/325302 fatcat:efreywx7vjel7nocurphkt6e3a

Performance of Dense Coding and Teleportation for Random States –Augmentation via Pre-processing [article]

Rivu Gupta, Shashank Gupta, Shiladitya Mal, Aditi Sen De
2020 arXiv   pre-print
We prove that when a rank-2 two-qubit state, a Werner state, and a pure state possess the same amount of entanglement, the DCC of a rank-2 state belongs to the envelope made by pure and Werner states.  ...  In a similar way, we obtain an upper bound via the generalized Greenberger-Horne-Zeilinger state for rank-2 three-qubit states when the dense coding with two senders and a single receiver is performed  ...  The entanglement here is quantified by the negativity [61] which is defined as the sum of the modulus of negative eigenvalues of the partially transposed state.  ... 
arXiv:2012.05865v1 fatcat:ydznmoqdzzde7dcoadhtf6cfpq

Quantum cloning

Valerio Scarani, Sofyan Iblisdir, Nicolas Gisin, Antonio Acín
2005 Reviews of Modern Physics  
The impossibility of perfectly copying (or cloning) an arbitrary quantum state is one of the basic rules governing the physics of quantum systems.  ...  cryptography, the link between optimal cloning and light amplification via stimulated emission, and the experimental demonstrations of optimal quantum cloning.  ...  The state ͉⌽ + ͘ BM is now the maximally entangled state of two qudits ͑1/ ͱ d͚͒ k=0 d−1 ͉k͘ B ͉k͘ M , the state ͉ + ͘ M is the superposition 14 ͑1/ ͱ d͚͒ k=0 d−1 ͉k͘ M .  ... 
doi:10.1103/revmodphys.77.1225 fatcat:v2jfvxysnbcljk7w2zwlgi2gma

Bibliographic guide to the foundations of quantum mechanics and quantum information [article]

Adan Cabello
2004 arXiv   pre-print
Specifically, it covers hidden variables ("no-go" theorems, experiments), interpretations of quantum mechanics, entanglement, quantum effects (quantum Zeno effect, quantum erasure, "interaction-free" measurements  ...  .), sorted alphabetically and (some of them) classified by subject, on foundations of quantum mechanics and quantum information.  ...  T with an arbitrary pure state), [Lee-Kim 00] (entanglement T via Werner states), [Lee-Kim-Jeong 00] (transfer of nonclassical features in T via a mixed quantum channel), [Żukowski 00 b] (Bell's theorem  ... 
arXiv:quant-ph/0012089v12 fatcat:npzn2ah6fvd6bgmlwnh6xmcdl4

Laser written integrated photonics for quantum information science

Thomas Meany
2022
It has the function of operating as a basic two-qubit circuit element which applies a phase shift to a qubit in a target mode, conditional on the state of a control qubit.  ...  The design of this circuit required detailed analysis of the reproducibility of laser written circuits in the presence of performance tolerance to fabrication imperfections.  ...  + = 1 √ 2 (|00 + |11 ). (1.16) This state is entangled since by measuring either component of the two qubit state, collapses the state of the other qubit.  ... 
doi:10.25949/19432829.v1 fatcat:gpumnyrs7bag7oj2ubu22vu5o4