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We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and
continuous-time ...
Semiclassical theory of energy diffusive escape in a Duffing oscillator
Semiclassical theory energy diffusive escape Duffing oscillator
2010/10/27
Motivated by recent experimental progress to read out quantum bits implemented in superconducting circuits via the phenomenon of dynamical bifurcation, transitions between steady orbits in a driven an...
Is there a physically universal cellular automaton or Hamiltonian?
physically universal cellular automaton Hamiltonian
2010/10/19
It is known that both quantum and classical cellular automata (CA) exist that are computationally universal in the sense that they can simulate, after appropriate initialization, any quantum or classi...
I would like to thank Herbert Spohn for his encouragement, support and cutting the red tape. Chapters 3 and 4 follow closely his ‘Quantendynamik’ from 2005. Furthermore the physical arguments presente...
Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions
interacting electrons time-dependent variational principle
2010/10/27
The quantum mechanical many-body problem is rarely analytically solvable. One notable exception is the case of two electrons interacting via a Coulomb potential in a uniform magnetic field. The motion...
The semiclassical formula for the coherent-state propagator is written in terms of complex classical trajectories of an equivalent classical system. Depending on the parameters involved, more than one...
Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
Quantum One-Way Communication Classical Communication
2010/10/27
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol
communicating only O(log n) qubits, but for which any classical (randomized, bounded-error)
protocol requires p...
Semiclassical Mechanics of the Wigner $6j$-Symbol
Semiclassical Mechanics Wigner $6j$-Symbol
2010/10/27
The semiclassical mechanics of the Wigner 6j-symbol is examined from the standpoint of WKB theory for multidimensional, integrable systems,to explore the geometrical issues surrounding the Ponzano-Reg...
Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
2010/12/20
Classical generalization of general relativity is considered as gravitational alternative for unified description of the early-time inflation with late-time cosmic acceleration. The structur and cosmo...
Framework for classifying logical operators in stabilizer codes
logical operators stabilizer codes
2010/3/10
Entanglement, as studied in quantum information science, and non-local quantum correlations, as studied in condensed matter physics, are fundamentally akin to each other. However, their relationship i...
Generic Gravity Tests with the Double Pulsar
double pulsar gravity tests preferred-frame effects
2010/3/18
Presently the double pulsar allows for the measurement of six post-Keplerian parameters. In addition, its double-line nature gives access to the projected semi-major axes of both orbits. We use this w...
We introduce a new approach for investigating the weak field limit of vacuum field equations in f(R) gravity and we find the weak field limit of f(R) = R +{mu}^4/R gravity. Furthermore, we study the s...
Evolution of near-extremal-spin black holes using the moving puncture technique
near-extremal-spin black holes puncture technique
2010/3/18
We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in th...
We discuss a proposal to make small artificial black holes (ABH's) using a huge laser. Because of Hawking radiation, they would be extremely powerful energy sources. We investigate the technical probl...
Multidimensional quantum cosmic models: New solutions and gravitational waves
quantum cosmic gravitational waves
2010/3/18
This paper contains a discussion on the quantum cosmic models, starting with the interpretation that all of the accelerating effects in the current universe are originated from the existence of a nonz...