Cryptographic distinguishability measures for quantum-mechanical states
IEEE Transactions on Information Theory
Simplifying Monotonicity Conditions for Entanglement Measures
Open Systems & Information Dynamics
Towards measurable bounds on entanglement measures
Quantum Information Processing
General paradigm for distilling classical key from quantum states
IEEE Transactions on Information Theory
Unifying classical and quantum key distillation
TCC'07 Proceedings of the 4th conference on Theory of cryptography
How quantum is a quantum ensemble?
Quantum Information Processing
Entanglement probability distribution of bi-partite randomised stabilizer states
Quantum Information & Computation
The distillability problem revisited
Quantum Information & Computation
Quantum advantage without entanglement
Quantum Information & Computation
A useful strong lower bound on two-qubit concurrence
Quantum Information Processing
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Theory of quantifying entanglement is reviewed in a unified framework. The subject is divided with respect to finite and asymptotic regime, as well as abstract and operational approach. Important measures are presented within four classes according to different methods of construction. The relations between postulates for asymptotic and finite regime are clarified. Many results are formulated based on general properties of the involved functions and classes of states and operations, without referring to entanglement anymore. It is argued that while in finite regime only monotonicity is relevant postulate, for asymptotic regime, one needs, in general, monotonicity, a kind of extensivity and continuity.