OpenAI reports a PPT channel whose square retains entanglement
- Mathematics
- Theoretical Physics
There is an explicit trace-preserving PPT channel Θ:M21(C)→M21(C) such that Θ∘Θ is not entanglement breaking.
OpenAI reports a PPT channel whose square retains entanglement
- Mathematics
- Theoretical Physics
An explicit trace-preserving PPT channel on 21-by-21 complex matrices has a square that is not entanglement breaking.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
An explicit trace-preserving PPT channel on 21-by-21 complex matrices has a square that is not entanglement breaking.
Why it matters
If correct, refutes the same-channel form of the PPT-squared conjecture for finite-dimensional quantum channels.
What counts as progress
Must the square of every trace-preserving PPT channel be entanglement breaking?
Website timeline
Publication dates and editorial changes.
OpenAI reports a PPT channel whose square retains entanglement