We develop a framework that provides straightforward approach to fully exploit the permutational symmetry of identical multilevel systems. By taking into account symmetry, we outline simple scheme allows us map dynamics $N$ $d$-level systems $d$ bosonic modes with particles, achieving an exponential reduction on dimensionality problem in and way. In particular, consider Lindblad several interac...

Neutrino oscillations are treated from the point of view of relativistic first quantized theories and compared to second quantized treatments. Within first quantized theories, general oscillation probabilities can be found for Dirac fermions and charged spin 0 bosons. A clear modification in the oscillation formulas can be obtained and its origin is elucidated and confirmed to be inevitable fro...

A new qubit encoding method for second-quantized fermion interactions in systems of relevance quantum chemistry is described, which can achieve an exponential improvement over prior strategies the limit large basis sets.

Solution to the quantum constraints of four dimensional quantized gravity by dimensional reduction. Part II. Abstract In this paper we present a general solution to the quantum constraints of general relativity from the perspective of dimensional reduction , in complement to Part I. First we present the constraints in terms of the polar decomposition of the CDJ matrix, noting its attributes. In...

In recent years, the import of quantum information techniques in gravity opened new perspectives study microscopic structure spacetime. We contribute to such a program by establishing precise correspondence between formalism tensor networks (TN), case projected entangled-pair states (PEPS) generalised second-quantized framework, and group field theory (GFT) states, showing how, this approach, d...

All the geometric phases are shown to be topologically trivial by using the second quantized formulation. The exact hidden local symmetry in the Schrödinger equation, which was hitherto unrecognized, controls the holonomy associated with both of the adiabatic and non-adiabatic geometric phases. The second quantized formulation is located in between the first quantized formulation and the field ...

In this paper, we study the plasmonic thermal conductance of ordered stacks of metallic nanorings in a host material. Using second quantized formalism of the Random Phase Approximation, we first determine the dispersion relations of surface plasmon waves on the stacks of nanorings. Then, using Landauer-Buttiker formalism, we determine the coefficient of plasmonic thermal conductance and heat cu...

There exists a two parameter action, the variation of which produces both the geodesic equation and the geodesic deviation equation. In this paper it is shown that this action can be quantized by the canonical method, resulting in equations which generalize the Klein-Gordon equation. The resulting equations might have applications, and also show that entirely unexpected systems can be quantized...

The design of complex FIR filters with quantized coefficients according to a discrete mean squared error criterion in the frequency domain is revisited. In the first approach the coefficients are quantized step-by-step by recursively solving a system of linear equations. The second approach is a generalised form of the first one: The mean squared error is repeatedly minimized considering a grow...