Generalized entanglement measure for continuous-variable systems

Concurrence introduced by Hill and Wootters [Phys. Rev. Lett. 78, 5022 (1997)], provides an important measure of entanglement for a general pair qubits that is strictly positive entangled states vanishes all separable states. We present extension to continuous variable multiple degrees freedom generalizing the Lagrange's identity wedge product framework proposed Bhaskara et al. [Quantum Inf. Process. 16, 118 (2017)] pure discrete systems in arbitrary dimensions. A family faithful measures constructed admit necessary sufficient conditions separability across bipartitions presented Vedral 16 2275 (1997)]. The computed approach Gaussian states, coherent non Bell matches with known results. also quantify phase randomized squeezed superposition Our results simplify several quantum theory.