Entanglement entropy: Holography and renormalization group
TLDR
A review of entanglement entropy from a mixed viewpoint of field theory and holography is provided in this article, where a set of basic methods for the computation is developed and illustrated with simple examples such as free theories and conformal field theories.Abstract:
Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed viewpoint of field theory and holography. A set of basic methods for the computation is developed and illustrated with simple examples such as free theories and conformal field theories. The structures of the ultraviolet divergences and the universal parts are determined and compared with the holographic descriptions of entanglement entropy. The utility of quantum inequalities of entanglement are discussed and shown to derive the C theorem that constrains renormalization group flows of quantum field theories in diverse dimensions.read more
Citations
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Holographic Duality with a View Toward Many-Body Physics
TL;DR: In this article, a series of lectures given at the KITP workshop Quantum Criticality and the AdS/CFT Correspondence in July 2009 were described, with the goal of the lectures being to introduce condensed matter physicists to the CFT correspondence.
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APS Medal for Exceptional Achievement in Research: Invited article on entanglement properties of quantum field theory*
TL;DR: The 2016 APS Medal for Excellence in Physics was given to Edward Witten as mentioned in this paper, whose contribution was invited in conjunction with this award and contained concise explanations of some key results in the axiomatic and algebraic approaches to quantum field theory, which are relevant to quantum entanglement.
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Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
Jonah Kudler-Flam,Shinsei Ryu +1 more
TL;DR: In this paper, a quantum entanglement measure for mixed quantum states was calculated in quantum error-correcting codes and the minimal cross sectional area of the entangle wedge in holographic codes with a quantum correction term equal to the logarithmic negativity between the bulk degrees of freedom on either side of the wedge cross section was calculated.
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Quantum magnonics: When magnon spintronics meets quantum information science
Gihyun Bae,Dahl-Young Khang +1 more
TL;DR: In this paper , the authors discuss how magnonic systems can be integrated and entangled with quantum platforms including cavity photons, superconducting qubits, nitrogen-vacancy centers and phonons for coherent information transfer and collaborative information processing.
Posted Content
Quantum magnonics: when magnon spintronics meets quantum information science
Gihyun Bae,Huaiyang Yuan,Yunshan Cao,Dahl-Young Khang,Akashdeep Kamra,Rembert A. Duine,Peng Yan +6 more
TL;DR: In this article, the authors discuss how magnonic systems can be integrated and entangled with quantum platforms including cavity photons, superconducting qubits, nitrogen-vacancy centers and phonons for coherent information transfer and collaborative information processing.
References
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Book
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TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
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The Large N limit of superconformal field theories and supergravity
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
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Anti De Sitter Space And Holography
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
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Gauge Theory Correlators from Non-Critical String Theory
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
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