Schmidt Rank and Entanglement
Use singular values and partial traces to separate local basis changes from pure-state entanglement.
Free theory articleUse singular values and partial traces to separate local basis changes from pure-state entanglement.
Concept & interpretation
In quantum mechanics, a pure state of a bipartite system can be expressed in terms of a product basis. For two qubits, any pure state can be written as ∑ C_(ij)|ij⟩.
Experiment
Use the interactive module to explore how the local rotation changes basis probabilities without affecting entanglement entropy or concurrence, whereas changing the Schmidt angle fundamentally alters entanglement.
- Select the Schmidt angle degrees option
30. - Select the Local rotation degrees option
0. - Select the Basis probe option
00. - Observe the resulting Schmidt rank which becomes exactly
2.
Open the interactive module to visualize these transformations.