Characterization of Gaussian operations and distillation of Gaussian states
By G. Giedke, J. I. Cirac. 2002
431 citations recorded by the source corpus.
We characterize the class of all physical operations that transform Gaussian states to Gaussian states. We show that this class coincides with that of all operations that can be performed on Gaussian states using linear optical elements and homodyne measurements. For bipartite systems we characterize the processes that can be implemented by local operations and classical communication, as well as those that can be implemented using positive partial transpose preserving maps. As an application, we show that Gaussian states cannot be distilled by local Gaussian operations and classical communication. We also define and characterize positive (but not completely positive) Gaussian maps.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/e79c4360d199843162b51a0c9d2f2d85825c5630
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
- Klemens Hammerer
- Anders Søndberg Sørensen
- Kavan Modi
- Tomasz Paterek
- H. Cable
- Aharon Brodutch
- Peter van Loock
- Vlatko Vedral
In Atomic and Molecular Physics, and Optics
- Ulrik Lund Andersen
- Klemens Hammerer
- Anders Søndberg Sørensen
- Jonas S Neergaard-Nielsen
- Kavan Modi
- Peter van Loock
- Tomasz Paterek
- Eugene Simon Polzik
Citations in the corpus
- Probing multimode squeezing with correlation functions (2010, neutral): “this operation would be equivalent to continuous-variable entanglement distillation [35, 36, 37].”
- Quantum interface between light and atomic ensembles (2008, background): “…it is known that Gaussian operations alone do not allow for distillation of entanglement from Gaussian states (Eisert et al., 2002; Fiurasek, 2002; Giedke and Cirac, 2002) and that algorithms for efficient classical simulation of any evolution involving only Gaussian operation and Gaussian…”
- Advances in quantum cryptography (2019, neutral): “[585, Section V], the tool of channel simulation has been progressively developed over the years thanks to the contributions of several authors [586–591] and it is still today a topic of improvements and generalizations (e.”
- Hybrid discrete- and continuous-variable quantum information (2014, background): “…using CV Gaussian operations does not allow for distilling high-quality Gaussian entanglement from low-quality, noisy Gaussian entanglement [72–74], but by introducing local non-Gaussian elements such as photon subtraction (via photon counting) the entanglement of the state can be effectively…”
- Entanglement distillation from Gaussian input states (2010, background): “This is due to the difficulties imposed by the no-go theorem, which states that Gaussian operations alone can never distill entanglement from Gaussian state”
- The classical-quantum boundary for correlations: Discord and related measures (2011, methodology): “These measurements are all executable using linear optics and homodyne detection (Giedke and Cirac, 2002).”