diff --git a/README.md b/README.md
index 643c304..9f9aa94 100644
--- a/README.md
+++ b/README.md
@@ -110,6 +110,8 @@ A curated list of awesome quantum machine learning algorithms,study materials,li
     - [Quantum Based Newton's Method for Constrained Optimization](#quantumstatistics-newtonmethodconstrainedoptimization)
     - [Quantum Based Newton's Method for UnConstrained Optimization](#quantumstatistics-newtonmethodunconstrainedoptimization)
     - [Quantum Ensemble](#quantumstatistics-quantumensemble)
+    - [Quantum Topology](#quantumstatistics-quantumtopology)
+    - [Quantum Topological Data Analysis](#quantumstatistics-quantumtopologicaldataanalysis)
 - [QUANTUM PROGRAMMING LANGUAGES , TOOLs and SOFTWARES](#qpl)
     - [ALL](#qpl-all)
 - [QUANTUM ALGORITHMS SOURCE CODES , GITHUBS](#quantumsourcecode)
@@ -138,7 +140,9 @@ A curated list of awesome quantum machine learning algorithms,study materials,li
     - [Quantum Chromodynamics](#quantumhottopics-chromodynamics)
     - [Quantum Darwinism](#quantumhottopics-darwinism)
     - [Quantum Coherence](#quantumhottopics-coherence)
-    - [Quantum Decoherence](#quantumhottopics-decoherence)                                                    
+    - [Quantum Decoherence](#quantumhottopics-decoherence) 
+    - [Topological Quantum Computing](#quantumhottopics-topologicalcomputing)
+    - [Topological Quantum Field Theory](#quantumhottopics-topologicalfieldtheory)
 - [QUANTUM MACHINE LEARNING VS DEEP LEARNING](#qmlvsdl)
 - [QUANTUM MEETUPS](#quantummeetups)
 - [QUANTUM GOOGLE GROUPS](#quantumgroups)