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

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Presentation transcript:

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

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

 ’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

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

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

What is “Quantum Correlations” ? Correlation function

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

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

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

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

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

Thank you !