Towards variance-matrix characterization of complementarity relations in a continuous variable system

Abstract

We discuss complementarity relations in a bipartite continuous variable system. Building up from the work done on discrete d-dimensional systems, we prove that for symmetric two-mode states, quantum complementarity relations can be put in a simple relation with the elements of the variance matrix. When this condition is not satisfied, such a connection becomes non-trivial. Our investigation is the first step towards an operative characterization of the complementarity in a scenario that has not been investigated so far.

7 pages, 4 figures, RevTeX4

References in corpus (11)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Universal state inversion and concurrence in arbitrary dimensions
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Partial Teleportation of Entanglement in the Noisy Environment
• Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation
• Mixedness and teleportation
• Experimental Generation of Large Quadrature EPR Entanglement with a Self-Phase-Locked Type II OPO Below Threshold
• Quantum Non-Demolition Test of Bipartite Complementarity