1 “...This thesis deals with topological orders from two different perspectives: from a condensed matter...”

2

3 Table of Contents: “...Introduction -- Anyons and Topological Order -- Response Theory and SPT Phases -- Geometric...”

4 Table of Contents: “... and Entanglement Area Law -- Part III Topological order and Long-Range Entanglement -- 6 Introduction...”

5 Table of Contents: “... linear spaces -- Linear lattices with a topology -- Ordered algebras...”

6 Table of Contents: “..., matrix models and strings -- Quantum hall fluids -- Topological orders and edge excitations in fractional...”

7 “... and those between topological phases require a change in topological order; in rare cases, however...”

8 Table of Contents: “...From point defects to defect complexes -- Topological order and hyperorder in oxide glasses...”

9 “... in a predictive way, and that protected topological order can exist in amorphous materials. In each...”

10 “... quickened in recent years with the appreciation of quantum phases of matter and so-called topological order...”

11 “.... The surface codes evolved from Kitaev's toric codes, as a means to developing models for topological order...”

12 “... physics of the integer and fractional quantum Hall (FQH) states, the topological order of FQH phases...”

13 Table of Contents: “...Chapter 16: Unwrapping CircuitsChapter 17: Topological Order; Chapter 18: Partitioning; Chapter 19...”

14 Table of Contents: “... Network for Control with Topologically Ordered Visible Units in the Light of Fuzzy Logic -- Echtzeit...”

15 Table of Contents: “... with “Pseudo-topological” Orders -- The Influence of Durational Actions on Time Equivalences -- Bounded Model...”

16 Table of Contents: “... Satisfying MSO Properties on z-Topologically Orderable Digraphs.- Computing Tree-Depth Faster Than 2n...”

17 Table of Contents: “... junction ladders: a realization of topological order -- Single-electron charge qubit in a double quantum...”

18 Table of Contents: “... with Bandwidth -- A Simpler Linear-Time Recognition of Circular-Arc Graphs -- An Algorithm for Online Topological...”

19 Table of Contents: “..., and Strategiesfor a Chemical Implementation of such Kinetics -- Topological Order in 2D Chemical Systems...”

20 Table of Contents: “... for Incremental Topological Ordering -- Dynamic Normal Forms and Dynamic Characteristic Polynomial -- Algorithms...”