A5041899750- Random Matrices and Applications
- Quantum chaos and dynamical systems
- Stochastic processes and statistical mechanics
- Quantum Mechanics and Applications
- Algebraic structures and combinatorial models
- Quantum many-body systems
- Quantum Computing Algorithms and Architecture
- Molecular spectroscopy and chirality
- Quantum Information and Cryptography
- Theoretical and Computational Physics
University of Nottingham
2013-2017
We study the effects of relativistic motion on quantum teleportation and propose a realizable experiment where our results can be tested. compute bounds optimal fidelity when one observers undergoes nonuniform for finite time. The upper bound to is degraded due observer's motion. However, we discuss how this degradation corrected. These are observable experimental parameters that within reach cutting-edge superconducting technology.
We consider eigenvectors of the Hamiltonian $H_0$ perturbed by a generic perturbation $V$ modelled random matrix from Gaussian Unitary Ensemble (GUE). Using supersymmetry approach we derive analytical results for statistics eigenvectors, which are non-perturbative in and valid an arbitrary deterministic $H_0$. Further generalise them to case $H_0$, focusing, particular, on Rosenzweig-Porter model. Our predictions confirmed numerical simulations.
We study the eigenvalues and eigenvectors of $N\times N$ structured random matrices form $H = W\tilde{H}W+D$ with diagonal $D$ $W$ $\tilde{H}$ from Gaussian Unitary Ensemble. Using supersymmetry technique we derive general asymptotic expressions for density states moments eigenvectors. find that remain ergodic under very assumptions, but a degree their ergodicity depends strongly on particular choice $D$. For special case $D=0$ $W$, show can become critical are characterized by non-trivial...
We study eigenvectors in the deformed Gaussian unitary ensemble of random matrices $H=W\tilde{H}W$, where $\tilde{H}$ is a matrix from and $W$ deterministic diagonal with positive entries. Using supersymmetry approach we calculate analytically moments distribution function components for generic $W$. show that specific choices can modify significantly nature changing them extended to critical localized. Our analytical results are supported by numerical simulations.