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Computational Complexity of Projected Entangled Pair States

Norbert Schuch, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac
2007 Physical Review Letters  
We determine the computational power of preparing Projected Entangled Pair States (PEPS), as well as the complexity of classically simulating them, and generally the complexity of contracting tensor networks  ...  We further show how PEPS can be used to approximate ground states of gapped Hamiltonians, and that creating them is easier than creating arbitrary PEPS.  ...  Vollbrecht, and one of the referees for helpful discussions and comments. This work was supported by the Elite Network of Bavaria (ENB) project QCCC, and by the DFG-Forschergruppe 635.  ... 
doi:10.1103/physrevlett.98.140506 pmid:17501258 fatcat:4hq2ulsagfbbroqtuoketxaivq

Investigation of the chiral antiferromagnetic Heisenberg model using projected entangled pair states

Didier Poilblanc
2017 Physical review B  
Here, we construct generic families of chiral projected entangled pair states (chiral PEPS) with low bond dimension (D=3,4,5) which, upon optimization, provide better variational energies than the KL ansatz  ...  However, we find evidence that, in contrast to the KL state, the PEPS spin liquids have power-law dimer-dimer correlations and exhibit a gossamer long-range tail in the spin-spin correlations.  ...  Indeed, the short-range properties of our critical chiral PEPS are also likely to be extremely close to those of the KL state so that only the long-distance properties can distinguish them.  ... 
doi:10.1103/physrevb.96.121118 fatcat:skdxaaz5wvazbgvvyrnebjsmdu

How local is the information in tensor networks of matrix product states or projected entangled pairs states

Anurag Anshu, Itai Arad, Aditya Jain
2016 Physical review B  
In this paper we introduce a new approach for approximating the expectation value of a local observable in ground states of local Hamiltonians that are represented as PEPS tensor-networks.  ...  Two dimensional tensor networks such as projected entangled pairs states (PEPS) are generally hard to contract.  ...  Research at the Centre for Quantum Technologies is funded by the Singapore Ministry of Education and the National Research Foundation, also through the Tier 3 Grant random numbers from quantum processes  ... 
doi:10.1103/physrevb.94.195143 fatcat:alhmtmpg5jdc7c2tjrkjbloujy

Primary structure of streptococcal Pep M5 protein: Absence of extensive sequence repeats

B. N. Manjula, S. M. Mische, V. A. Fischetti
1983 Proceedings of the National Academy of Sciences of the United States of America  
However, extensive identical repeats of the kind observed in Pep M24 were not present in Pep M5.  ...  These sequences, together with the aminoterminal sequence of the whole molecule, accounted for nearly two thirds of the Pep M5 molecule.  ...  M. is an Established Investigator of the American Heart Association.  ... 
doi:10.1073/pnas.80.18.5475 pmid:16593365 pmcid:PMC384280 fatcat:6blte6qjpbg6hdfj46jfxigmte

Bioaccumulation of Persistent Environmental Pollutants (PEPs) in the Mud Catfishes (Clarias gariepinus and Heterobranchus longifilis) from the Ogu Creek, Rivers State, Nigeria

Dike Henry Ogbuagu, Marcus Osezojie Idewele, Kingsley Prince Nzekwue
2019 International Journal of Marine Science  
The long-term discharge of poorly treated petroleum refinery effluent into the Ekerekana Creek, proximal to the Ogu Creek in Ogu, Rivers State, Nigeria, as well as contributions from artisanal refining  ...  This research investigated the presence and levels of trace elements (Zn,  ...  Adebayo of the Department of Fisheries and Aquaculture Technology, Federal University of Technology, Owerri for the identification of the fish species.  ... 
doi:10.5376/ijms.2019.09.0007 fatcat:xmuu7ixzqjazbido3txilw2piy

Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States

F. Verstraete, M. M. Wolf, D. Perez-Garcia, J. I. Cirac
2006 Physical Review Letters  
The projected entangled pair state (PEPS) representation of quantum states on two-dimensional lattices induces an entanglement based hierarchy in state space.  ...  Moreover, it enables us to show that there exist PEPS within the same class as the cluster state, which can serve as computational resources for the solution of NP-hard problems.  ...  The power of the PEPS formalism is based on two points. First, every state has a PEPS representation [4] as long as D can become very large.  ... 
doi:10.1103/physrevlett.96.220601 pmid:16803296 fatcat:7xpysetygvh43eg2r2bhgewy5u

Isolation, sequence, and developmental profile of a brain-specific polypeptide, PEP-19

R. Ziai, Y. C. Pan, J. D. Hulmes, L. Sangameswaran, J. I. Morgan
1986 Proceedings of the National Academy of Sciences of the United States of America  
The concentration of PEP-19 rose from 0.1 nmol/g of cerebellum at birth to 2 nmol/g at 20 days postpartum.  ...  By comparing the HPLC profiles of cerebellar extracts from adult and neonatal rats, a developmentally regulated polypeptide, termed PEP-19, was identified.  ...  The ratio of the amino acids to peptide for the intact PEP-19 has been calculated on the basis of a molecular size of 7.6 kDa.  ... 
doi:10.1073/pnas.83.21.8420 pmid:3464961 pmcid:PMC386940 fatcat:x4zn7vkltrcmdh3jjg26qby7vu

P056: The state of the evidence for emergency medical services (EMS) care of blunt spinal trauma: an analysis of appraised research from the Canadian Prehospital Evidence-based Practice (PEP) Project

A. Carter, J. Greene, J. Cook, J. Goldstein, J. Jensen
2016 CJEM: Canadian Journal of Emergency Medical Care  
The Canadian Prehospital Evidence-based Practice (PEP) project is an online, freely accessible, continuously updated EMS evidence repository.  ...  The summary of research evidence for EMS interventions used to care for blunt spinal trauma is described. Methods: PubMed was systematically searched.  ...  Introduction: The Canadian Prehospital Evidence-based Practice (PEP) project is an online, freely accessible, continuously updated EMS evidence repository.  ... 
doi:10.1017/cem.2016.232 fatcat:rupntrt375hrndkbft5f4r7ynq

State of the Evidence for Emergency Medical Services (EMS) Care: The Evolution and Current Methodology of the Prehospital Evidence-Based Practice (PEP) Program

Alix Carter, Jan Jensen, David Petrie, Jennifer Greene, Andrew Travers, Judah Goldstein, Jolene Cook, Dana Fidgen, Janel Swain, Luke Richardson, Ed Cain
2018 Healthcare Policy | Politiques de Santé  
This paper describes the evolution and current methodology of the PEP program. Methods/design: The purpose of PEP is to identify, catalog and critically appraise relevant studies.  ...  The Prehospital Evidence-Based Practice (PEP) program is an online, freely accessible, repository of critically appraised evidence specific to EMS.  ...  Acknowledgements The authors would like to acknowledge the contributions of Corinne DeMone, who was the first PEP administrator and current research manager for the Dalhousie Division of EMS, Lisa Young  ... 
doi:10.12927/hcpol.2018.25548 pmid:30129435 pmcid:PMC6147365 fatcat:gwf2s7iaj5audh5bmlf53w6z3u

P060: State of the evidence for prehospital use of point-of-care lactate in patients with sepsis: A report from the Prehospital Evidence Based Practice (PEP) program

J. Greene, A. Carter, J. Goldstein, J. Jensen, J. Swain, R. Brown, Y. Leroux, D. Lane
2019 CJEM: Canadian Journal of Emergency Medical Care  
These studies were collected, appraised and added to the existing body of literature contained within the PEP database.  ...  Operating as part of the Prehospital Evidence Based Practice (PEP) Program, the authors sought to identify and describe the body of evidence for POCL use in EMS and the emergency department (ED) for patients  ...  In this study our goal was to better understand the demographics and game usage for purchasers of the GridlockED board game, which will inform the further improvement or expansion of the game.  ... 
doi:10.1017/cem.2019.251 fatcat:jcma3qzxbjej3opunbqrjj7i5a

Variational treatment of the Shastry-Sutherland antiferromagnet using projected entangled pair states

A. Isacsson, Olav F. Syljuåsen
2006 Physical Review E  
We use the class of PEPS with internal tensor dimension D=2, the first step beyond product states (D=1 PEPS).  ...  We have found that the D=2 variational PEPS algorithm is able to capture the physics in both the valence-bond crystal and the Neel ordered state.  ...  The class of states used here are Projected Entangled Pair States (PEPS) represented by an array of complex tensors A i , each tensor associated with a physical spin.  ... 
doi:10.1103/physreve.74.026701 pmid:17025561 fatcat:skeaooujyfanzoor4fuyb7kmgq

Presence of two distinct regions in the coiled-coil structure of the streptococcal Pep M5 protein: relationship to mammalian coiled-coil proteins and implications to its biological properties

B. N. Manjula, B. L. Trus, V. A. Fischetti
1985 Proceedings of the National Academy of Sciences of the United States of America  
of the Pep M5 molecule.  ...  The complete amino acid sequence of Pep M5, a biologically active 197-residue fragment comprising nearly half of the group A streptococcal M5 protein, has structural features characteristic of an a-helical  ...  Mark Simont for his help in the predictive secondary structural analysis. This work was supported by grants from the American Heart Association, with funds contrib-  ... 
doi:10.1073/pnas.82.4.1064 pmid:3856248 pmcid:PMC397194 fatcat:mg32uscgqrck5eci7jptdx2efu

27pPSA-16 PEPS(projected entangled pair states)アルゴリズムのフェルミオン系への応用(27pPSA 領域11ポスターセッション,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
27pPSA-16 Application to fermionic system by PEPS algorithm

Koji Matsuura, Yukihiro Shimizu
2013 Meeting Abstracts of the Physical Society of Japan (Nihon Butsuri Gakkai koen gaiyoshu)  
ftee bosons Df constant density of statesthe coupling valVing in proportion Lo the oDupnng oonstant and the 8 ・ th power of Lhe boson excita し め n elergy .  ...  B 82 } 214420 〔 2010> 27pPSA − 16 PEPS ( proj ted entangled pair states ) ア ル ゴ リズ 厶 の フ ェ ル ミ オ ン 系 へ の 応用 東 北 大 工 , 松 浦 浩 司 7 清水 幸 弘 ApPlication to fermienic system by PEPS algorithm Dept. ofApplied  ... 
doi:10.11316/jpsgaiyo. fatcat:zvyzjwt5ufhwhetsd6fyhzwat4

Twisted injectivity in projected entangled pair states and the classification of quantum phases

Oliver Buerschaper
2014 Annals of Physics  
We introduce a class of projected entangled pair states (PEPS) which is based on a group symmetry twisted by a 3-cocycle of the group.  ...  Moreover, we advance the classification of 2D gapped quantum spin systems by showing how this new standard form for PEPS determines the emergent topological order of these local Hamiltonians.  ...  Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.  ... 
doi:10.1016/j.aop.2014.09.007 fatcat:ekjpl3cxrbemnf65xd3hobvt7e

LO73: The state of the evidence for emergency medical services care of adult patients with sepsis: an analysis of appraised research from the Prehospital Evidence-Based Practice (PEP) program

J. Greene, A. Carter, J. Goldstein, J. Jensen, J. Swain, R. Brown, Y. Leroux, D. Lane, M. Simpson
2019 CJEM: Canadian Journal of Emergency Medical Care  
The Prehospital Evidence-Based Practice (PEP) program is an online, freely accessible, continuously updated Emergency Medical Services (EMS) evidence repository.  ...  LOE and DOE of each intervention were plotted on an evidence matrix (DOE x LOE). Results: Eighty-eight studies were included for 15 interventions listed in PEP.  ...  We have completed a scoping review to provide a state of the literature and develop a taxonomy of the non-technical skills pertinent to ad hoc teams in prehospital settings.  ... 
doi:10.1017/cem.2019.116 fatcat:g42xysoexjbwfflixvq4ojctea
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