Update README.md

Fixed README typos.

Author: JAllcock

README.md

@@ -78,21 +78,21 @@ print(g(theta))
 
 ## Install
 
-The package is purely written in Python and can be obtained via pip as:
+The package is written in pure Python and can be obtained via pip as:
 
 ```python
 pip install tensorcircuit
 ```
 
-And we recommend you install this package with tensorflow also installed as:
+We recommend you install this package with tensorflow also installed as:
 
 ```python
 pip install tensorcircuit[tensorflow]
 ```
 
 Other optional dependencies include `[torch]`, `[jax]` and `[qiskit]`.
 
-For nightly build of tensorcircuit with new features, try:
+For the nightly build of tensorcircuit with new features, try:
 
 ```python
 pip uninstall tensorcircuit
@@ -121,21 +121,21 @@ We also have [Docker support](/docker).
 
 ## Citing TensorCircuit
 
-This project is released by [Tencent Quantum Lab](https://quantum.tencent.com/) and is currently maintained by [Shi-Xin Zhang](https://github.com/refraction-ray) with contributions from the lab and open source community.
+This project is released by [Tencent Quantum Lab](https://quantum.tencent.com/) and is currently maintained by [Shi-Xin Zhang](https://github.com/refraction-ray) with contributions from the lab and the open source community.
 
 If this project helps in your research, please cite our software whitepaper:
 
 [TensorCircuit: a Quantum Software Framework for the NISQ Era](https://arxiv.org/abs/2205.10091)
 
-which is also a good introduction for the software.
+which is also a good introduction to the software.
 
 ## Contributing
 
 For contribution guidelines and notes, see [CONTRIBUTING](/CONTRIBUTING.md).
 
 We welcome [issues](https://github.com/tencent-quantum-lab/tensorcircuit/issues), [PRs](https://github.com/tencent-quantum-lab/tensorcircuit/pulls), and [discussions](https://github.com/tencent-quantum-lab/tensorcircuit/discussions) from everyone, and these are all hosted on GitHub.
 
-## Researches and Applications
+## Research and Applications
 
 ### DQAS