Continuous variables of bosonic systems can address a wide range of quantum systems including field amplitudes of light, collective spins of atomic ensembles, motional modes of trapped ions, Bose–Einstein condensate and nano-mechanical oscillators. In this lecture series, we will introduce basic notions and tools to deal with Gaussian regime for bosonic quantum systems. Specifically, we describe how Gaussian states, Gaussian operations and Gaussian measurements can be analytically handled and move on to the application of those tools to the analysis of quantum correlation (quantum entanglement and steering) and quantum communication (security proof in cryptography).

Wed 28 Nov 13:30 ~ 15:00

• Introduction to phase-space description

• Covariance matrix & symplectic transformations

• Gaussian States

Wed 28 Nov 16:00 ~ 17:30

• Gaussian Operations

• Gaussian Measurements

• Quantum Correlations

Thu 29 Nov 13:30 ~ 15:00

• Entanglement of Formation for Gaussian states

• Quantum steering under Gaussian measurements

Thu 29 Nov 16:00 ~ 17:30

• CV quantum cryptography

• Security proof & Gaussian optimality