Qubit Entanglement Breaking Channels
By Mary Beth Ruskai. 2003
135 citations recorded by the source corpus.
This paper continues the study of stochastic maps, or channels, for which (I⊗Φ)(Γ) is always separable in the case of qubits. We give a detailed description of entanglement-breaking qubit channels, and show that such maps are precisely the convex hull of those known as classical-quantum channels. We also review the complete positivity conditions in a canonical parameterization and show how they lead to entanglement-breaking conditions.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/4112f6c853d37900b702b92c9f161033e1a91858
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Graeme Smith
- Toby S. Cubitt
- Vittorio Giovannetti
- Giulio Chiribella
- Mary Beth Ruskai
- Filippo Caruso
- Cosmo Lupo
- Stefano Mancini
In Atomic and Molecular Physics, and Optics
- Graeme Smith
- Toby S. Cubitt
- Vittorio Giovannetti
- Giulio Chiribella
- Mary Beth Ruskai
- Filippo Caruso
- Cosmo Lupo
- Stefano Mancini
Citations in the corpus
- Indefinite causal order enables perfect quantum communication with zero capacity channels (2018, background): “[51], we conclude that the channel Sω(E0,F0) is entanglementbreaking.”
- Quantum channels and memory effects (2012, background): “(King and Ruskai, 2001; Ruskai, 2003; Ruskai, Szarek, and Werner, 2002).”
- The structure of degradable quantum channels (2008, methodology): “It was shown in [32] that any channel which remains CP when λk 7→ −λk (which is equivalent to applying the partial transpose to the Choi matrix and conjugating with a Puali matrix) is EB.”