1. Quantum Steering in the Gaussian World Ioannis Kogias, A. Lee, S. Ragy and G. Adesso University of Nottingham To appear on arXiv: [quant-ph]

2. Outline Quantum Information Q. Entanglement & Hierarchy of Q. Correlations Quantum Steering

3.  ’82: Signalling faster than light? The “no-cloning” theorem. (Wootters & Zurek)  ’85: A computing machine that obeys the QM laws was shown to be faster than any classical one. (D. Deutsch) Parallelism Interference  ’94: Two enormously important problems were found to be solved efficiently on a quantum machine: Find prime factors of an integer (RSA) “discrete log” problem (P. Shor)  ’95: Shannon’s information theory was extended to the Quantum domain (B. Schumacher) Some history... Implications for Black hole information paradox

4. Quantum Information field E X P L O D E D After ’95... Since then…

5. Q Cryptography Q Metrology Q Communication Q Channel Superactivation Super-dense coding Q Error- Correcting Codes Schemes for fault- tolerant Q Computation Gravitational waves Relativistic Q Information Exploit Quantum Correlations

6. What is “Quantum Correlations” ? Correlation function

7. Gerardo Adesso’s Discord Entanglement Steering Non-locality Classes of Q. Correlations

8. Entanglement Steering Non-locality Classes of Q. Correlations Independent of Hilbert space Obey Uncertainty relations

9. Wherever there is independence from Hilbert space… …It corresponds to a device-independent entanglement detection.

10. Steering : 1-side device independence Nonlocality : Total device independence Device Device independent Quantum Cryptography ! ! (A. Acin et al., PRL 98 230501, 2007)

11. An important gap... Gaussian States Perfectly manipulated in the lab I. Kogias, A. Lee, S. Ragy and G. Adesso (to appear on arXiv soon)

12. Thank you !