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Entanglement concentration for concatenated Greenberger-Horne-Zeiglinger state with feasible linear optics [article]

Yu-Bo Sheng, Chang-Cheng Qu, Lan Zhou
2016 arXiv   pre-print
The concatenated Greenberger-Horne-Zeiglinger (C-GHZ) state which is a new type of logic-qubit entanglement has attracted a lot of attentions recently.  ...  We present a feasible entanglement concentration protocol (ECP) for logic-qubit entanglement.  ...  In 2011, Fröwis et al. firstly put forward the concatenated Greenberger-Horne-Zeilinger (C-GHZ) state, which is a promising logic-qubit entanglement for quantum information processing [70] .  ... 
arXiv:1602.02331v1 fatcat:eilgj3ij3jbr7ndccypiafecji

Two-step complete polarization logic Bell-state analysis

Yu-Bo Sheng, Lan Zhou
2015 Scientific Reports  
In this paper, we will describe an alternative approach to realize the near complete logic Bell-state analysis for the polarized concatenated Greenberger-Horne-Zeilinger (C-GHZ) state with two logic qubits  ...  based on the logic-qubit entanglement.  ...  Such logic-qubit entanglement has the similar feature as the Greenberger-Horne-Zeiglinger (GHZ) state, but is more robust than the normal GHZ state in a noisy environment.  ... 
doi:10.1038/srep13453 pmid:26307327 pmcid:PMC4549687 fatcat:csd4hhn42ngtnmzfu7s7mtsxeu

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  ...  Reprinted in [Macchiavello-Palma-Zeilinger 00], pp. 4-11.2838. [Greenberger-Horne-Zeilinger 94]: D. M. Greenberger, M. A. Horne, & A.  ...  69]). 4 . 4 Bell's inequalities for n particles [Greenberger-Horne-Shimony-Zeilinger 90] (Sec.  ... 
arXiv:quant-ph/0012089v12 fatcat:npzn2ah6fvd6bgmlwnh6xmcdl4

Robust generation of logical qubit singlet states with reverse engineering and optimal control with spin qubits [article]

Yi-Hao Kang, Zhi-Cheng Shi, Jie Song, Yan Xia
2020 arXiv   pre-print
Single and multiple operations of logical qubits are studied for the construction of an effective Hamiltonian, with which robust control fields are derived with invariant-based reverse engineering and  ...  Therefore, the protocol may provide useful perspectives for generations of logical qubit entanglement in spin systems.  ...  It has been shown in the past decades that different types of entangled states, e.g., the Bell states [1] , Greenberger-Horne-Zeilinger (GHZ) states [2] and W states [3] can be alternative candidates  ... 
arXiv:2009.09411v1 fatcat:5kkvpbsmxndhrhyk5qn6vfgjw4

Entanglement in Graph States and its Applications [article]

M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. Van den Nest and H.-J. Briegel
2006 arXiv   pre-print
Graph states form a rich class of entangled states that exhibit important aspects of multi-partite entanglement.  ...  We review some of the known applications of graph states, as well as proposals for their experimental implementation.  ...  Acknowledgements We would like to thank a number of colleagues for fruitful discussions in the context of this work during the past few years. The (most likely incomplete) list of people includes S.  ... 
arXiv:quant-ph/0602096v1 fatcat:ojcmg2lyyjdtligbench22qjrm

Mapping Excited-State Dynamics by Coherent Control of a Dendrimer's Photoemission Efficiency

D. G. Kuroda, C. P. Singh, Z. Peng, V. D. Kleiman
2009 Science  
We have implemented a method for the improved readout of single electronic spin qubits in solid-state systems.  ...  Our method makes use of quantum logic between a single electronic spin and nuclear spin qubits in its local environment for repetitive readout.  ...  However, it is possible to further improve the readout scheme by using a pair of ancillary nuclear spins and imprinting the electronic state into a Greenberger-Horne-Zeilinger (GHZ)-like state: |Y〉 e |  ... 
doi:10.1126/science.1176524 pmid:19815771 fatcat:qjnxaodoezd4pnanhlgdmhayxe

Software tools for quantum control: Improving quantum computer performance through noise and error suppression [article]

Harrison Ball, Michael J. Biercuk, Andre Carvalho, Jiayin Chen, Michael Hush, Leonardo A. De Castro, Li Li, Per J. Liebermann, and Harry J. Slatyer, Claire Edmunds, Virginia Frey, Cornelius Hempel (+1 others)
2020 arXiv   pre-print
Fortunately quantum control enables efficient execution of quantum logic operations and algorithms with built-in robustness to errors, without the need for complex logical encoding.  ...  We describe a software architecture leveraging both high-performance distributed cloud computation and local custom integration into hardware systems, and explain how key functionality is integrable with  ...  ): Target gate: |GHZ 000 · · ·|, where |GHZ = 1 √ 2 (|0101 · · · + |1010 · · · ) (preparation of a Greenberger-Horne-Zeilinger state) Gate duration: 1.1 µs In this case, system complexity was tuned by  ... 
arXiv:2001.04060v2 fatcat:7x5olheg3bfovhqcosyyuicgpi

Lectures on Quantum Tensor Networks [article]

Jacob Biamonte
2020 arXiv   pre-print
In addition to covering the foundations, the book covers important applications such as matrix product states, open quantum systems and entanglement - all cast into the diagrammatic tensor network language  ...  The audience further includes the graduate student researcher, whom with some effort, should find this book accessible. I would appreciate it if you emailed me about any mistakes or typos you find.  ...  The standard MPS representation of the Greenberger-Horne-Zeilinger (GHZ) state is given as Daniel Greenberger, Michael Horne and Anton Zeilinger first studied what is now named the GHZ-state in 1989  ... 
arXiv:1912.10049v2 fatcat:aitkggs36rd5lhkmlzztlgky5y

Open-system dynamics of entanglement:a key issues review [article]

Leandro Aolita, F. De Melo, L. Davidovich, Universitätsbibliothek Der FU Berlin, Universitätsbibliothek Der FU Berlin
In contrast to single-particle quantities, like populations and coherences, which typically vanish only asymptotically in time, entanglement may disappear at a finite time.  ...  Entanglement is thus taken as a dynamic quantity on its own, and we survey how it evolves due to the unavoidable interaction of the entangled system with its surroundings.  ...  In particular, we would specially like to thank Antonio Acín, Fernando Brandão We would also like to thank institutions that were crucial for the production of this paper.  ... 
doi:10.17169/refubium-20820 fatcat:vp7b6itwurdklnp6pu652l4zfy

Experimental realization of a simple entangling optical gate for quantum computation

Robert Prevedel
2005 unpublished
We propose the extension of the above scheme to generate a genuine 3-photon cluster state, which is equivalent to a Greenberger-Horne-Zeilinger-state (GHZ-state) [16], and give a short outlook on future  ...  It can also be employed for the generation of novel multi-particle entangled states, among them the so-called cluster states.  ...  This is a maximally entangling gate which, when coupled with single-qubit rotations, is universal for quantum computing [2] .  ... 
doi:10.25365/thesis.81 fatcat:ahceiu63lvcj3emecldvtlkaae

Towards scalable photonic entanglement generation

Rui Ferreira Vasconcelos
2019 unpublished
suited for photonic entanglement generation.  ...  These are then applied to the demonstration of elements of measurement-based error correction, where an arbitrary logical qubit is protected against phase noise, by encoding into the cluster state.  ...  Another entangled state which is frequently found in the literature is the Greenberger-Horne-Zeilinger (GHZ) state: |GHZ⟩ n = 1 √ 2 (|0⟩ ⊗n + |1⟩ ⊗n ) (1.19) The definition of entanglement can be generalized  ... 
doi:10.25365/thesis.60951 fatcat:hbgcqxgu7bcprdmg24dypberlu

Entanglement with quantum gates in an optical lattice

Olaf Mandel
Best for experimental assistance. This work was supported by the EU under the QUEST programme, the AFOSR and the Bayerische Forschungsstiftung.  ...  Cirac for discussions, and A. Altmeyer for help in the final stages of the experiment. This work was supported by the DFG.  ...  GHZ Greenberger-Horne-Zeilinger The GHZ state is an entangled state of n = 3 qubits (generalized GHZ for n ≥ 3) that can be written as |00 . . . 0 + |11 . . . 1 in some basis.  ... 

9th Conference on the Theory of Quantum Computation, Communication and Cryptography

Steven Flammia, Aram Harrow
2014 unpublished
The objective of the conference is to bring together researchers so that they can interact with each other and share problems and recent discoveries.  ...  To win Alice an Bob need to respond with α = β for a = b and with α = β for ab ∈ E. Classical Alice and Bob can win with probability 1 if and only if X is c-colorable.  ...  We wish to thank Marc Kaplan and Nicolas Gisin for stimulating discussions about the simulation of entanglement. Furthermore, Marc has carefully read Acknowledgments.  ... 

Laser written integrated photonics for quantum information science

Thomas Meany
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.  ...  This limits the application of the devices beyond demonstrations or prototypes, hence it is desirable to also integrate these devices with on-chip sources of single photons.  ...  Three qubit states which are bi-separable, such as W states, or tri-partite entangled Greenberger-Horne-Zeilinger (GHZ) states, are exciting as they are (though complex to delineate in practice) maximally  ... 
doi:10.25949/19432829.v1 fatcat:gpumnyrs7bag7oj2ubu22vu5o4

8th Conference on the Theory of Quantum Computation, Communication and Cryptography LIPIcs-Leibniz International Proceedings in Informatics

Simone Severini, Fernando Brandao, Simone Severini, Fernando Brandao, Reinhard Wilhelm
2013 ACM Classification 1998 E.3 Data Encryption, E.4 Coding and Information Theory, F. Theory of Computation   unpublished
The objective of the conference is to bring together researchers so that they can interact with each other and share problems and recent discoveries.  ...  We thank Jérémie Roland for useful discussions and Dmitry Gavinsky for suggesting to use decision trees to construct non-degenerate functions with many zero Fourier coefficients.  ...  This work was financially supported by the Canadian government through NSERC and CERC and by the United States government through DARPA. NW would like to acknowledge funding from USARO-DTO.  ...