Relative entropic uncertainty relation for scalar quantum fields

A Tight High-Order Entropic Quantum Uncertainty Relation with Applications

We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quantum 1-out-of-2 Oblivious Transfer and quantum Bit Commitment are presented and the uncertainty relation is used to prove the security of these protocols in the boundedquantum-storage model according to new strong secur...

Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory

The Heisenberg uncertainty principle shows that no one can specify the values of the non-commuting canonically conjugated variables simultaneously. However, the uncertainty relation is usually applied to two incompatible measurements. We present tighter bounds on both entropic uncertainty relation and information exclusion relation for multiple measurements in the presence of quantum memory. As...

Entropic Uncertainty Relations in Quantum Physics

Entropic Uncertainty Relations in Quantum Physics

Uncertainty relations have become the trademark of quantum theory since they were formulated by Bohr and Heisenberg. This review covers various generalizations and extensions of the uncertainty relations in quantum theory that involve the Rényi and the Shannon entropies. The advantages of these entropic uncertainty relations are pointed out and their more direct connection to the observed pheno...

Entropic uncertainty relation for power-law wave packets

For the power-law quantum wave packet in configuration space, the variance of the position observable may be divergent, and, accordingly, the Heisenberg-type formulation of the uncertainty principle becomes weak. In contrast to such a situation, the information-entropic formulation involves only finite quantities, thus displaying its superiority over the Heisenberg-type relation. We attempt to ...