LEADER 04779nam 22006135 450 001 9910337883103321 005 20200701033553.0 010 $a1-4939-9084-5 024 7 $a10.1007/978-1-4939-9084-9 035 $a(CKB)4930000000042038 035 $a(MiAaPQ)EBC5742743 035 $a(DE-He213)978-1-4939-9084-9 035 $a(PPN)235229644 035 $a(EXLCZ)994930000000042038 100 $a20190328d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum Information Meets Quantum Matter $eFrom Quantum Entanglement to Topological Phases of Many-Body Systems /$fby Bei Zeng, Xie Chen, Duan-Lu Zhou, Xiao-Gang Wen 205 $a1st ed. 2019. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2019. 215 $a1 online resource (372 pages) 225 1 $aQuantum Science and Technology,$x2364-9054 311 $a1-4939-9082-9 327 $aPart I Basic Concepts in Quantum Information Theory -- 1 Correlation and Entanglement -- 2 Evolution of Quantum Systems -- 3 Quantum Error-Correcting Codes -- Part II Local Hamiltonians, Ground States and Many-body Entanglement -- 4 Local Hamiltonians and Ground States -- 5 Gapped Quantum Systems and Entanglement Area Law -- Part III Topological order and Long-Range Entanglement -- 6 Introduction to Topological order -- 7 Local Transformations and Long-Range Entanglement -- Part IV Gapped Topological Phases and Tensor Network -- 8 Matrix Product State and 1D Gapped Phase -- 9 Tensor Product States and 2D Gapped Phases -- 10 Symmetry Protected Topological Phases -- Part V Outlook -- 11 A Unification of Information and Matter. 330 $aThis book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems. The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics ? the unification of information and matter. Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed. 410 0$aQuantum Science and Technology,$x2364-9054 606 $aQuantum computers 606 $aSpintronics 606 $aCondensed matter 606 $aQuantum physics 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aCondensed Matter Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25005 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aQuantum Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/M14070 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aCondensed matter. 615 0$aQuantum physics. 615 14$aQuantum Information Technology, Spintronics. 615 24$aCondensed Matter Physics. 615 24$aQuantum Physics. 615 24$aQuantum Computing. 676 $a006.3843 700 $aZeng$b Bei$4aut$4http://id.loc.gov/vocabulary/relators/aut$01063073 702 $aChen$b Xie$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZhou$b Duan-Lu$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWen$b Xiao-Gang$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910337883103321 996 $aQuantum Information Meets Quantum Matter$92529931 997 $aUNINA