Calculate qubit states with Schrodinger's equation

AI Thread Summary
The discussion focuses on calculating qubit states using the Schrodinger equation, emphasizing its role in theoretically explaining qubits. The equation, expressed as iħ∂Ψ/∂t = ĤΨ, allows for determining a qubit's wavefunction over time. To validate theoretical findings, experimental measurements of qubits are suggested as a comparison. Additionally, the conversation touches on the relevance of Quantum Field Theory (QFT) and Quantum Electrodynamics (QED) in providing deeper insights into quantum system behaviors. Understanding these theories is essential for analyzing qubit interactions at a subatomic level.
this_is_my_name
Messages
1
Reaction score
1
Thread moved from the technical forums to the schoolwork forums
Summary:: How to calculate qubit states with the Schrodinger eq

I'm writing something about the relation between quantum computers and the Schrodinger equation. One of the requirements is there has to be an experiment. So I thought I could measure some qubits that have results and then do the same but theoretically with the Schrodinger equation. So that I can say Qubits are theoretically explainable with Schrodinger eq.

Any ideas on how I could/should do it with the Schrodinger equation?

Plus is there any QFT or QED involved in the relation on a deep level? Just curious.
 
Physics news on Phys.org
The Schrodinger equation is used to calculate the expected behavior of quantum systems. For a single qubit, this equation can be written as: i\hbar\frac{\partial}{\partial t}\Psi(x,t) = \hat{H}\Psi(x,t)where $\hbar$ is the reduced Planck constant, $\Psi(x,t)$ is the wavefunction of the qubit, and $\hat{H}$ is the Hamiltonian operator of the qubit. By solving the Schrodinger equation, the wavefunction of the qubit can be determined at any given instance in time. To calculate the actual state of the qubit, the wavefunction must be evaluated at the measurement point. To answer your question about QFT and QED, these theories are used to more accurately describe the behavior of quantum systems. In particular, the quantum electrodynamical approach is used to calculate the interaction between electromagnetic fields and matter on the subatomic level. This approach is necessary to analyze the behavior of qubits in more detail.
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'
(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
Back
Top