Calculate qubit states with Schrodinger's equation

Click For Summary
SUMMARY

This discussion focuses on calculating qubit states using the Schrödinger equation, specifically the equation iħ∂/∂tΨ(x,t) = ĤΨ(x,t), where ħ is the reduced Planck constant, Ψ(x,t) is the wavefunction, and Ĥ is the Hamiltonian operator. The goal is to theoretically explain qubits through the Schrödinger equation by measuring qubit states experimentally. Additionally, the conversation touches on the relevance of Quantum Field Theory (QFT) and Quantum Electrodynamics (QED) in providing a deeper understanding of quantum systems and their interactions.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the Schrödinger equation
  • Knowledge of wavefunctions and Hamiltonian operators
  • Basic concepts of Quantum Field Theory (QFT) and Quantum Electrodynamics (QED)
NEXT STEPS
  • Study the mathematical derivation of the Schrödinger equation
  • Explore experimental methods for measuring qubit states
  • Research Quantum Field Theory (QFT) applications in quantum computing
  • Investigate Quantum Electrodynamics (QED) and its implications for qubit interactions
USEFUL FOR

Quantum physicists, quantum computing researchers, and students interested in the theoretical foundations of qubit behavior and measurement techniques.

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 Schrödinger eq

I'm writing something about the relation between quantum computers and the Schrödinger 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 Schrödinger equation. So that I can say Qubits are theoretically explainable with Schrödinger eq.

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

Plus is there any QFT or QED involved in the relation on a deep level? Just curious.
 
Physics news on Phys.org
The Schrödinger 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 Schrödinger 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.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 10 ·
Replies
10
Views
930
  • · Replies 4 ·
Replies
4
Views
719
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 18 ·
Replies
18
Views
1K
Replies
1
Views
1K