Advances in quantum cryptography
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 …
Novel theoretical protocols are designed on a regular basis, security proofs are constantly …
Entropic uncertainty relations and their applications
Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …
Entropic uncertainty relations—a survey
Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty
relations in particular have gained significant importance within quantum information …
relations in particular have gained significant importance within quantum information …
Locking classical correlations in quantum states
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 …
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
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 …
only allowed to perform a restricted set of measurements. Let the bias of a POVM be defined …
Strong majorization entropic uncertainty relations
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 …
several strong bounds for the sum of two entropies obtained in projective measurements …
Entropic uncertainty relations for multiple measurements
We present the entropic uncertainty relations for multiple measurement settings which
demonstrate the uncertainty principle of quantum mechanics. Those uncertainty relations …
demonstrate the uncertainty principle of quantum mechanics. Those uncertainty relations …
Universal uncertainty relations
Uncertainty relations are a distinctive characteristic of quantum theory that impose intrinsic
limitations on the precision with which physical properties can be simultaneously …
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 …
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 …
present two methods for deriving separability criteria in terms of entropic uncertainty …