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6 papers · 2 filters
Collectibility for Mixed Quantum States
Łukasz Rudnicki, Zbigniew Puchała, Paweł Horodecki +1
Bounds analogous to entropic uncertainty relations allow one to design practical tests to detect quantum entanglement by a collective measurement performed on several copies of the…
Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
Oleh Hul, Michał Ławniczak, Szymon Bauch +3
The famous question of Mark Kac "Can one hear the shape of a drum?" addressing the unique connection between the shape of a planar region and the spectrum of the corresponding Lapl…
Zitterbewegung of Klein-Gordon particles and its simulation by classical systems
Tomasz M. Rusin, Wlodek Zawadzki
The Klein-Gordon equation is used to calculate the Zitterbewegung (ZB, trembling motion) of spin-zero particles in absence of fields and in the presence of an external magnetic fie…
Entanglement Witnesses and Measures for Bright Squeezed Vacuum
Magdalena Stobińska, Falk Töppel, Pavel Sekatski +1
Quantum entanglement is a fascinating phenomenon, especially if it is observed at the macroscopic scale. Importantly, macroscopic quantum correlations can be revealed only by accur…
Optimal Uncertainty Relations for Extremely Coarse-grained Measurements
Łukasz Rudnicki, Stephen P. Walborn, Fabricio Toscano
We derive two quantum uncertainty relations for position and momentum coarse-grained measurements. Building on previous results, we first improve the lower bound for uncertainty re…
Violation of the Cauchy-Schwarz inequality with matter waves
K. V. Kheruntsyan, J. -C. Jaskula, P. Deuar +6
The Cauchy-Schwarz (CS) inequality -- one of the most widely used and important inequalities in mathematics -- can be formulated as an upper bound to the strength of correlations b…