Advances in quantum cryptography

S Pirandola, UL Andersen, L Banchi… - Advances in optics …, 2020 - opg.optica.org
Quantum cryptography is arguably the fastest growing area in quantum information science.
Novel theoretical protocols are designed on a regular basis, security proofs are constantly …

Entropic uncertainty relations and their applications

PJ Coles, M Berta, M Tomamichel, S Wehner - Reviews of Modern Physics, 2017 - APS
Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

Entropic uncertainty relations—a survey

S Wehner, A Winter - New Journal of Physics, 2010 - iopscience.iop.org
Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty
relations in particular have gained significant importance within quantum information …

Locking classical correlations in quantum states

DP DiVincenzo, M Horodecki, DW Leung, JA Smolin… - Physical Review Letters, 2004 - APS
We show that there exist bipartite quantum states which contain a large locked classical
correlation that is unlocked by a disproportionately small amount of classical …

Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding

W Matthews, S Wehner, A Winter - Communications in Mathematical …, 2009 - Springer
We consider the problem of ambiguous discrimination of two quantum states when we are
only allowed to perform a restricted set of measurements. Let the bias of a POVM be defined …

Strong majorization entropic uncertainty relations

Ł Rudnicki, Z Puchała, K Życzkowski - Physical Review A, 2014 - APS
We analyze entropic uncertainty relations in a finite-dimensional Hilbert space and derive
several strong bounds for the sum of two entropies obtained in projective measurements …

Entropic uncertainty relations for multiple measurements

S Liu, LZ Mu, H Fan - Physical Review A, 2015 - APS
We present the entropic uncertainty relations for multiple measurement settings which
demonstrate the uncertainty principle of quantum mechanics. Those uncertainty relations …

Universal uncertainty relations

S Friedland, V Gheorghiu, G Gour - Physical review letters, 2013 - APS
Uncertainty relations are a distinctive characteristic of quantum theory that impose intrinsic
limitations on the precision with which physical properties can be simultaneously …

Improved bounds in the entropic uncertainty and certainty relations for complementary observables

J Sánchez-Ruiz - Physics Letters A, 1995 - Elsevier
The entropic uncertainty relation for sets of N+ 1 complementary observables Ak in N-
dimensional Hilbert space, Σ kH (A k)≥(N+ 1) ln [1 2 (N+ 1)], is sharpened to Σ kH (A k)≥ 1 …

Entropic uncertainty relations and entanglement

O Gühne, M Lewenstein - Physical Review A—Atomic, Molecular, and Optical …, 2004 - APS
We discuss the relationship between entropic uncertainty relations and entanglement. We
present two methods for deriving separability criteria in terms of entropic uncertainty …