Artics | Leonard

Interest-Math (1)

classical-theory (5)

measurement (3)

quantum-computing (3)

data-science (1)

number-theory (1)

Artics

16 posts

1
2
3
4
5

Numerical Methods for Schrodinger Equation

Jul 22, 2021
19 minutes read

The first problem we meet in the practice about quantum mechanics is to simulate the quantum time evolution on computer. Formally, it is the numerical simulation of the (time-dependent) Schrodinger Equation. In this review, we discuss various numerical method for the Schrodinger equation and quantum time evolution, including their implementation and error analysis. We will only focus on the non-relativistic quantum mechanics, i.e., the number of degree of freedom is finite.

Quantum Machine Learning: Quantum Algorithms to Classical Data

Dec 19, 2020
29 minutes read

Quantum machine learning is the integration of quantum algorithms within machine learning programs. Generally, we have four different approaches for this purpose, by the type of data (quantum state/data or classical data) and type of algorithm or platform (quantum algorithm/computer or classical algorithm/computer). In this report, we focus on an elementary discussion about aspect of the quantum approach to classical data. The more attractive part about quantum approach to quantum data will be left for future posts.

quantum-computing

Time Travel and Quantum Computation

Sep 27, 2020
4 minutes read

Time travel, as a famous concept in science fiction, fascinates people for a long time. However for physicists, this is not only a beautiful dream, but also a interesting problem to discuss mathematically. In the community, there are generally two directions about time travel: (1) does it exist and (2) if it indeed exists, what can we do. In this report, we discuss the application of time travel mainly in the field of quantum computation

quantum-computing