MERA in 2D ( Multi-scale Entanglement Renormalization Ansatz )

Slides:

Advertisements

Similar presentations

Strong Monogamy and Genuine Multipartite Entanglement Gerardo Adesso Informal Quantum Information Gathering 2007 The Gaussian Case Quantum Theory group.

Advertisements

I.L. Aleiner ( Columbia U, NYC, USA ) B.L. Altshuler ( Columbia U, NYC, USA ) K.B. Efetov ( Ruhr-Universitaet,Bochum, Germany) Localization and Critical.

1 Separability and entanglement: what symmetries and geometry can say Helena Braga, Simone Souza and Salomon S. Mizrahi Departamento de Física, CCET, Universidade.

Kondo Physics from a Quantum Information Perspective

Combining Tensor Networks with Monte Carlo: Applications to the MERA Andy Ferris 1,2 Guifre Vidal 1,3 1 University of Queensland, Australia 2 Université.

1 st Place Post-Secondary Winner. 2 nd Place Post-Secondary Winner.

Z. Y. Xie ( 谢志远 ) Institute of Physics, Chinese Academy of Sciences Tensor Renormalization in classical statistical models and quantum.

U N C L A S S I F I E D Operated by the Los Alamos National Security, LLC for the DOE/NNSA Suppression of Spin Diffusion: Modeling and Simulations Gennady.

Andy Ferris International summer school on new trends in computational approaches for many-body systems Orford, Québec (June 2012) Multiscale Entanglement.

Solid state realisation of Werner quantum states via Kondo spins Ross McKenzie Sam Young Cho Reference: S.Y. Cho and R.H.M, Phys. Rev. A 73, (2006)

Breakdown of the adiabatic approximation in low-dimensional gapless systems Anatoli Polkovnikov, Boston University Vladimir Gritsev Harvard University.

Outline: 1. 1.Introduction: RG fixed points and cyclic limits 2. 2.Extended BCS Hamiltonian 3. 3.Mean-field solution 4. 4.Beta function and cyclic RG 5.

Entanglement Renormalization Frontiers in Quantum Nanoscience A Sir Mark Oliphant & PITP Conference Noosa, January 2006 Guifre Vidal The University of.

Measuring quantum geometry From superconducting qubits to spin chains Michael Kolodrubetz, Physics Department, Boston University Theory collaborators:

Efficient Quantum State Tomography using the MERA in 1D critical system Presenter : Jong Yeon Lee (Undergraduate, Caltech)

Equilibrium dynamics of entangled states near quantum critical points Talk online at Physical Review Letters 78, 843.

Quantum Numbers How to find your atom’s address in the Periodic Table Hotel.

Multipartite Entanglement Measures from Matrix and Tensor Product States Ching-Yu Huang Feng-Li Lin Department of Physics, National Taiwan Normal University.

Entanglement Area Law (from Heat Capacity)

Memory Effect in Spin Chains Entanglement Distribution 12N Spin chains can be used as a channel for short distance quantum communication [1]. The basic.

Entanglement entropy scaling of the XXZ chain

Introduction to fractional quantum Hall effect Milica V. Milovanović Institute of Physics Belgrade Scientific Computing Laboratory (Talk at Physics Faculty,

Entanglement entropy and the simulation of quantum systems Open discussion with pde2007 José Ignacio Latorre Universitat de Barcelona Benasque, September.

FAKULTAS KEPERAWATAN CAUSE-EFFECT ESSAY NELWATI. S.Kp, MN.

High-temperature series expansion study Kok-Kwei Pan ( 潘國貴 ) Physics Group, Center of General Education Chang Gung University ( 長庚大學 ) No. 259, Wen-Hua.

Dynamics of phase transitions in ion traps A. Retzker, A. Del Campo, M. Plenio, G. Morigi and G. De Chiara Quantum Engineering of States and Devices: Theory.

A Novel Algebraic Approach to Quantum and Classical Dualities Emilio Cobanera Department of Physics - Indiana University DESY Theory Workshop 2010 Gerardo.

Tensor networks and the numerical study of quantum and classical systems on infinite lattices Román Orús School of Physical Sciences, The University of.

Introduction to MERA Sukhwinder Singh Macquarie University.

1 Realization of qubit and electron entangler with NanoTechnology Emilie Dupont.

Nonlocality test of continuous variable state 17, Jan,2003 QIPI meeting Wonmin Son Queen’s University, Belfast.

Experimental Quantification of Entanglement in low dimensional Spin Systems Chiranjib Mitra IISER-Kolkata Quantum Information Processing and Applications.

 Life Expectancy is 180 th in the World.  Literacy Rate is 4 th in Africa.

Decoherence and Classical dynamics in Markovian Quantum Open Systems O. Brodier (1) A. M. Ozorio de Almeida (2) (1)M.P.I.P.K.S. Dresden, ALLEMAGNE (2)C.B.P.F.

Quench in the Quantum Ising Model

Purity and Continuous Quantum Phase Transition in XX spin chain Wonmin Son In collaboration with; Luigi Amico (Madrid), Francesco Plastina (Italy), Vlatko.

SPIN EXCITATIONS IN La 2 CuO 4 : CONSISTENT DESCRIPTION BY INCLUSION OF RING EXCHANGE A.A.Katanin a,b and A.P.Kampf a a Institut für Physik, Universität.

Entanglement Loss Along RG Flows Entanglement and Quantum Phase Transitions José Ignacio Latorre Dept. ECM, Universitat de Barcelona Newton Institute,

Formal Writing - PART OF TASK TWO Write Now: Masking Your Identity – Formal Writing - PART OF TASK TWO What purpose does the mask/painted face serve in.

String excitations in quantum antiferromagnets and photoelectron spectroscopy E. Manousakis Physics Department, Florida State University and Physics Department,

st significant figure Significant figures Significant figures 1 st significant figure.

Panjin Kim*, Hosho Katsura, Nandini Trivedi, Jung Hoon Han

K-6 Critical Areas of Focus K-6 Key Fluencies Kindergarten – Critical Areas of Focus.

NTNU 2011 Dimer-superfluid phase in the attractive Extended Bose-Hubbard model with three-body constraint Kwai-Kong Ng Department of Physics Tunghai University,

Rounding To 1,2 or 3 decimal places.

Images of Bose-Einstein condensates

G. Florio Dipartimento di Fisica, Università di Bari, Italy

ACCOMPLISHMENT REPORT AS OF NOV. 30, 2013

Arithmetic and Geometric Means

Quantum Phase Transition of Light: A Renormalization Group Study

Generalized DMRG with Tree Tensor Network

Dimensioning with SolidWorks - Demo

A Distribution Network

Phone Number BINGO!!!.

Quantum Mechanics.

Dividing decimals by decimals

Progression of Text Levels Expected in Grades 1 - 5

Lev Vaidman 23 August 2004, Cambridge Zion Mitrani Amir Kalev

4n + 2 1st term = 4 × = 6 2nd term = 4 × = 10 3rd term

Multi-Step equations with fractions and decimals

Dimensioning with SolidWorks - Demo

Quantum Numbers This is a way to label electrons.

WHS Bell Schedule 1st Period  7:30 – 8:30 2nd Period  8:35 – 9:30

Dividing decimals by decimals

Оюутны эрдэм шинжилгээний хурлын зорилго:

Computational approaches for quantum many-body systems

Department of Physics, Fudan University, Shanghai , China

Computational approaches for quantum many-body systems

Presentation transcript:

MERA in 2D ( Multi-scale Entanglement Renormalization Ansatz ) Łukasz Cincio (POSTER) Jacek Dziarmaga Marek M. Rams (POSTER) @ Uniwersytet Jagielloński arXiv:0710.3829 accepted in Phys. Rev. Lett.

MERA: periodic chain of 4 spins G. Vidal, PRL 2007

MERA: from N=4 to N=8 spins

MERA representation of a quantum state on 8 spins

MERA: entanglement renormalization (real space renormalization group on a quantum state) G. Vidal, PRL 2007 on 4 block spins on 8 spins 1st decimation

MERA: entanglement renormalization on 2 block spins on 4 block spins 2nd decimation

MERA: entanglement renormalization on 2 block spins 3rd decimation

MERA representation of a quantum state

MERA: entanglement renormalization in critical quantum Ising chain G. Vidal, PRL 2007

MERA in 2D

MERA in 2D: quantum Ising model

MERA in 2D: results

Conclusion Work in progress Symmetric MERA in 2D & First test in 2D with encouraging results Work in progress 2D t-J model Łukasz Cincio (POSTER ON MERA ) Marek M. Rams (POSTER ON ENTANGLEMENT IN KIBBLE-ZUREK MECHANISM)

MERA: expectation values