Work

On exchangeable continuous variable systems

Year: 2009

Type: article

Abstract: We investigate permutation-invariant continuous variable quantum states and their covariance matrices. We provide a complete characterization of the latter with respect to permutation invariance and exchangeability and representing convex combinations of tensor power states. On the level of the respective density operators this leads to necessary criteria for all these properties which become necessary and sufficient for Gaussian states. For these we use the derived results to provide de Finetti-type theorems for various distance measures.

Source: Journal of Mathematical Physics

DOI: 10.1063/1.3043788

Authors: Robert König, Michael M. Wolf

Institutions: California Institute of Technology, University of Copenhagen, Max Planck Institute of Quantum Optics

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Awards: Institute for Quantum Information, Institute for Quantum Information