Quantum Science

In this work, we consider the application of continuous time quantum walking(CTQW) to the Maximum Clique(MC) Problem. Performing CTQW on graphs will generate distinct periodic probability amplitude for different vertices. We will show that the intensity of the probability amplitude at frequency indeed implies the clique structure of some special... Read more
Published on: 2019-12-06
Ohki recently proposed a decision-theoretic approach to the retrodiction and smoothing of a quantum observable. Here I convert it to the Schr"odinger picture and demonstrate its connections to prior works in quantum estimation theory.... Read more
Published on: 2019-12-06
We have studied (2+1) dimensional Dirac oscillator (DO) in an external magnetic field in the framework of generalized uncertainty principle (GUP). We have calculated the perturbative corrections for first few energy levels. We show that the infinite degeneracy of lowest Landau level is partially lifted due to GUP correction and... Read more
Published on: 2019-12-06
We study the role of driving in a two-level system evolving under the presence of a structured environment. We find that adding a periodical modulation to the two-level system can greatly enhance the survival of the geometric phase for many time periods. We show that this effect is mainly important... Read more
Published on: 2019-12-06
The manifold of ground states of a family of quantum Hamiltonians can be endowed with a quantum geometric tensor whose singularities signal quantum phase transitions and give a general way to define quantum phases. In this paper, we show that the same information-theoretic and geometrical approach can be used to... Read more
Published on: 2019-12-06
We experimentally verify the link existing between entanglement and the amount of wave-particle duality in a bipartite quantum system, with superconducting qubits in the IBM Q quantum computer. We analyze both pure and mixed states, and study the limitations of the state purity on the complementarity "triality" relation. This work... Read more
Published on: 2019-12-06
In the framework quotient algebra partition, a general methodology is introduced to construct fault tolerant encodes for an arbitrary action in an error-correcting code.... Read more
Published on: 2019-12-06
Molecular spectroscopy in the solid-state crucially depends on the interaction of electronic degrees of freedom with a highly complex vibrational environment. The large number of intramolecular vibrations (vibrons) and crystal vibrations (phonons) have often reduced the analysis of these driven molecular systems to a limited set of vibrations and numerical... Read more
Published on: 2019-12-06
A relativistic effective charge model has been developed for computation of observable characteristics of multi-electron atoms and ions. A complete and orthogonal Dirac hydrogen basis set, depending on one parameter --- effective nuclear charge $Z^{*}$ --- identical for all single-electron wave functions of a given atom or ion, is employed... Read more
Published on: 2019-12-06
We investigate a theoretical demonstration of perfect frequency conversion in an optomechanical system in the weak coupling regime without a Stokes side-band. An optomechanical cavity illuminated by a weak probe field generates two side-modes, differentiating from the original signal by a phonon frequency. We report the presence of a special... Read more
Published on: 2019-12-06