The Experts below are selected from a list of 157326 Experts worldwide ranked by ideXlab platform
Maciej Lewenstein - One of the best experts on this subject based on the ideXlab platform.
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optical abelian lattice gauge theories
Annals of Physics, 2013Co-Authors: Luca Tagliacozzo, Alessio Celi, A Zamora, Maciej LewensteinAbstract:Abstract We discuss a general framework for the realization of a family of Abelian lattice gauge theories, i.e., link models or gauge magnets, in optical Lattices. We analyze the properties of these models that make them suitable for quantum simulations. Within this class, we study in detail the phases of a U ( 1 ) -invariant lattice gauge theory in 2 + 1 dimensions, originally proposed by P. Orland. By using exact diagonalization, we extract the low-energy states for small Lattices, up to 4 × 4 . We confirm that the model has two phases, with the confined entangled one characterized by strings wrapping around the whole lattice. We explain how to study larger Lattices by using either tensor network techniques or digital quantum simulations with Rydberg atoms loaded in optical Lattices, where we discuss in detail a protocol for the preparation of the ground-state. We propose two key experimental tests that can be used as smoking gun of the proper implementation of a gauge theory in optical Lattices. These tests consist in verifying the absence of spontaneous (gauge) symmetry breaking of the ground-state and the presence of charge confinement. We also comment on the relation between standard compact U ( 1 ) lattice gauge theory and the model considered in this paper.
Patrick Solé - One of the best experts on this subject based on the ideXlab platform.
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2- and 3-Modular lattice wiretap codes in small dimensions
Applicable Algebra in Engineering Communication and Computing, 2015Co-Authors: Fuchun Lin, Frédérique Oggier, Patrick SoléAbstract:A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following up the study of unimodular lattice wiretap codes (Lin and Oggier in IEEE Trans Inf Theory 59(6):3295–3303, 2013 ), this paper investigates 2- and 3-modular Lattices which can be constructed from linear codes and compares them with unimodular Lattices. Most even 2- and 3-modular Lattices are found to have better performance (that is, a higher secrecy gain) than the best unimodular Lattices in dimension $$n,\ 2\le n\le 23$$ n , 2 ≤ n ≤ 23 . Odd 2-modular Lattices are considered, too, and three Lattices are found to outperform the best unimodular Lattices.
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2 and 3 modular lattice wiretap codes in small dimensions
arXiv: Number Theory, 2013Co-Authors: Fuchun Lin, Frédérique Oggier, Patrick SoléAbstract:A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following up the study of unimodular lattice wiretap codes [1], this paper investigates 2- and 3-modular Lattices and compares them with unimodular Lattices. Most even 2- and 3-modular Lattices are found to have better performance, that is, a higher secrecy gain than the best unimodular Lattices in dimension n, n is between 2 and 23. Odd 2-modular Lattices are considered, too, and three Lattices are found to outperform the best unimodular Lattices.
Frédérique Oggier - One of the best experts on this subject based on the ideXlab platform.
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2- and 3-Modular lattice wiretap codes in small dimensions
Applicable Algebra in Engineering Communication and Computing, 2015Co-Authors: Fuchun Lin, Frédérique Oggier, Patrick SoléAbstract:A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following up the study of unimodular lattice wiretap codes (Lin and Oggier in IEEE Trans Inf Theory 59(6):3295–3303, 2013 ), this paper investigates 2- and 3-modular Lattices which can be constructed from linear codes and compares them with unimodular Lattices. Most even 2- and 3-modular Lattices are found to have better performance (that is, a higher secrecy gain) than the best unimodular Lattices in dimension $$n,\ 2\le n\le 23$$ n , 2 ≤ n ≤ 23 . Odd 2-modular Lattices are considered, too, and three Lattices are found to outperform the best unimodular Lattices.
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2 and 3 modular lattice wiretap codes in small dimensions
arXiv: Number Theory, 2013Co-Authors: Fuchun Lin, Frédérique Oggier, Patrick SoléAbstract:A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following up the study of unimodular lattice wiretap codes [1], this paper investigates 2- and 3-modular Lattices and compares them with unimodular Lattices. Most even 2- and 3-modular Lattices are found to have better performance, that is, a higher secrecy gain than the best unimodular Lattices in dimension n, n is between 2 and 23. Odd 2-modular Lattices are considered, too, and three Lattices are found to outperform the best unimodular Lattices.
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lattice code design for the rayleigh fading wiretap channel
International Conference on Communications, 2011Co-Authors: Jeanclaude Belfiore, Frédérique OggierAbstract:Coding for the Gaussian Wiretap Channel can be done with nested Lattices. The fine lattice must be designed in the same way as Lattices used on the regular Gaussian Channel while the coarse one must be a lattice whose theta series is minimized. We present a criterion of design of both the fine and coarse lattice when used on a Rayleigh fading wiretap channel
Fuchun Lin - One of the best experts on this subject based on the ideXlab platform.
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2- and 3-Modular lattice wiretap codes in small dimensions
Applicable Algebra in Engineering Communication and Computing, 2015Co-Authors: Fuchun Lin, Frédérique Oggier, Patrick SoléAbstract:A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following up the study of unimodular lattice wiretap codes (Lin and Oggier in IEEE Trans Inf Theory 59(6):3295–3303, 2013 ), this paper investigates 2- and 3-modular Lattices which can be constructed from linear codes and compares them with unimodular Lattices. Most even 2- and 3-modular Lattices are found to have better performance (that is, a higher secrecy gain) than the best unimodular Lattices in dimension $$n,\ 2\le n\le 23$$ n , 2 ≤ n ≤ 23 . Odd 2-modular Lattices are considered, too, and three Lattices are found to outperform the best unimodular Lattices.
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2 and 3 modular lattice wiretap codes in small dimensions
arXiv: Number Theory, 2013Co-Authors: Fuchun Lin, Frédérique Oggier, Patrick SoléAbstract:A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following up the study of unimodular lattice wiretap codes [1], this paper investigates 2- and 3-modular Lattices and compares them with unimodular Lattices. Most even 2- and 3-modular Lattices are found to have better performance, that is, a higher secrecy gain than the best unimodular Lattices in dimension n, n is between 2 and 23. Odd 2-modular Lattices are considered, too, and three Lattices are found to outperform the best unimodular Lattices.
Hiroshi Suzuki - One of the best experts on this subject based on the ideXlab platform.
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thermodynamics and reference scale of su 3 gauge theory from gradient flow on fine Lattices
Proceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015), 2016Co-Authors: Masakiyo Kitazawa, Masayuki Asakawa, Tetsuo Hatsuda, Takumi Iritani, Etsuko Itou, Hiroshi SuzukiAbstract:We study the parametrization of lattice spacing and thermodynamics of SU(3) gauge theory on the basis of the Yang-Mills gradient flow on fine Lattices. The lattice spacing of the Wilson gauge action is determined over a wide range 6.3 ≤ β ≤ 7.5 with high accuracy. The measurements of the flow time and lattice spacing dependences of the expectation values of the energy-momentum tensor are performed on fine Lattices.
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thermodynamics and reference scale of su 3 gauge theory from gradient flow on fine Lattices
arXiv: High Energy Physics - Lattice, 2015Co-Authors: Masakiyo Kitazawa, Masayuki Asakawa, Tetsuo Hatsuda, Takumi Iritani, Etsuko Itou, Hiroshi SuzukiAbstract:We study the parametrization of lattice spacing and thermodynamics of SU(3) gauge theory on the basis of the Yang-Mills gradient flow on fine Lattices. The lattice spacing of the Wilson gauge action is determined over a wide range $6.3\le\beta\le7.5$ with high accuracy. The measurements of the flow time and lattice spacing dependences of the expectation values of the energy-momentum tensor are performed on fine Lattices.
