Entanglement-induced sub-Planck phase-space structures

Measuring sub-Planck structural analogues in chronocyclic phase space

Phase space quasi-probability distributions of certain quantum states reveal structure on a scale that is small compared to the Planck area. Using an analog between the wavefunction of a single photon and the electric field of a classical ultrashort optical pulse we show that spectral shearing interferometry enables measurement of such structure directly, thereby extending an idea of Krzysztof ...

Teleportation fidelity as a probe of sub-Planck phase-space structure

Quantum and Classical Phase Space: Separability and Entanglement

The formalism of classical and quantum mechanics on phase space leads to symplectic and Heisenberg group representations, respectively. The Wigner functions give a representation of the quantum system using classical variables. The correspondence between the classical and the quantum criterion of separability for the system is obtained in terms of these functions. Entanglement is generic and se...

Frequency Sweeping of Phase Space Structures

Holes and clumps, spontaneously formed in the nonlinear development of a single mode driven by a weakly destabilizing kinetic distribution function in a dissipative medium, were expected to persist for an appropriate collisional time scale. However, Fokker-Planck calculations for the nonlinear system abruptly break down in the course of the calculation for some initial conditions. We nd that th...

Deterministic Sub-Linear Space LCE Data Structures With Efficient Construction

Given a string S of n symbols, a longest common extension query LCE(i, j) asks for the length of the longest common prefix of the ith and jth suffixes of S. LCE queries have several important applications in string processing, perhaps most notably to suffix sorting. Recently, Bille et al. (J. Discrete Algorithms 25:42–50, 2014, Proc. CPM 2015:65–76) described several data structures for answeri...