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Quantum steering: a review with focus on semidefinite programming
- D. Cavalcanti, Paul Skrzypczyk
- Computer ScienceReports on progress in physics. Physical Society
- 2 April 2016
This review gives an overview of how to characterise quantum steering through semidefinite programming, which provides efficient numerical methods to address a number of problems, including steering detection, quantification, and applications.
The role of quantum information in thermodynamics—a topical review
This topical review article gives an overview of the interplay between quantum information theory and thermodynamics of quantum systems, including the foundations of statistical mechanics, resource theories, entanglement in thermodynamic settings, fluctuation theorems and thermal machines.
Work extraction and thermodynamics for individual quantum systems.
It is proved that the second law of thermodynamics holds in this framework, and a simple protocol is given to extract the optimal amount of work from the system, equal to its change in free energy.
Quantifying Einstein-Podolsky-Rosen steering.
It is shown that every pure entangled state is maximally steerable and the projector onto the antisymmetric subspace is maximALLY steerable for all dimensions; a new example of one-way steering is provided and strong support is given that states with positive-partial transposition are not steerable.
Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- D. Cavalcanti, Paul Skrzypczyk, G. Aguilar, R. Nery, P. S. Ribeiro, S. Walborn
- Physics, Computer ScienceNature communications
- 24 December 2014
This work proposes a general method to certify all kinds of multipartite entanglement in this asymmetric scenario and experimentally demonstrates it in an optical experiment to provide a basis for semi-device-independent cryptographic applications in quantum networks.
Extracting work from quantum systems
We consider the task of extracting work from quantum systems in the resource theory perspective of thermodynamics, where free states are arbitrary thermal states, and allowed operations are energy…
Quantum Cheshire Cats
In this paper we present a quantum Cheshire Cat. In a pre- and post-selected experiment we find the Cat in one place, and its grin in another. The Cat is a photon, while the grin is its circular…
Quantitative relations between measurement incompatibility, quantum steering, and nonlocality
The certification of Bell nonlocality or quantum steering implies the use of incompatible measurements. Here we make this connection quantitative. We show how to strengthen robustness-based steering…
Nonlocality distillation and postquantum theories with trivial communication complexity.
All correlated nonlocal boxes make communication complexity trivial, and therefore appear very unlikely to exist in nature, and gives new insight to the problem of why quantum nonlocality is limited.
Closed sets of nonlocal correlations
We present a fundamental concept - closed sets of correlations - for studying nonlocal correlations. We argue that sets of correlations corresponding to information-theoretic principles, or more…