Correlation Matrices of Two-Mode Bosonic Systems
arXiv:0902.1502 · doi:10.1103/PhysRevA.79.052327
Abstract
We present a detailed analysis of all the algebraic conditions an arbitrary 4x4 symmetric matrix must satisfy in order to represent the correlation matrix of a two-mode bosonic system. Then, we completely clarify when this arbitrary matrix can represent the correlation matrix of a separable or entangled Gaussian state. In this analysis, we introduce new and alternative sets of conditions, which are expressed in terms of local symplectic invariants.
11 pages. REVTeX
References in corpus (10)
- Quantum Illumination with Gaussian States
- The Quantum Chernoff Bound
- Symplectic invariants, entropic measures and correlations of Gaussian states
- Continuous Variable Quantum Cryptography using Two-Way Quantum Communication
- Direct and Reverse Secret-Key Capacities of a Quantum Channel
- Characterization of Collective Gaussian Attacks and Security of Coherent-State Quantum Cryptography
- Computable bounds for the discrimination of Gaussian states
- Multimode uncertainty relations and separability of continuous variable states
- Quantum Direct Communication with Continuous Variables
- A Quantum Teleportation Game