What Are the Key Differences Between Schmidt Decomposition and SVD?

  • Thread starter Thread starter Nusc
  • Start date Start date
  • Tags Tags
    Svd
Nusc
Messages
752
Reaction score
2
What's the difference between Schmidt and Single valued decomposition?

https://www.physicsforums.com/showthread.php?t=323859

How could I find it for

<br /> <br /> |\psi&gt;_{AB} = const( |0&gt;_A|0&gt;_B+ |1&gt;_A|1&gt;_B) + const( |0&gt;_A|1&gt;_B+|1&gt;_A|0&gt;_B)<br /> <br />

?
 
Last edited:
Physics news on Phys.org
I haven't thought about how to do the Schmidt decomposition of that state vector, but you might find this thread more useful than the one you linked to.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
Back
Top