We study the generalized uncertainty principle (GUP) modified simple harmonic oscillator (SHO) in the operator formalism by considering the appropriate form of the creation and annihilation operators A, A † . The angular momentum algebra is then constructed using Schwinger's model of angular momentum with two independent GUP modified SHOs. With the GUP modified angular momentum algebra, we discuss coupling of angular momentum for a two-particle composite system. Further, we calculate the Clebsch-Gordan (CG) coefficients for a two-particle system explicitly. Our results show that the CG coefficients do not receive any corrections upto quadratic GUP. p-7

-Qubit(s) transfer through a helical chain is studied. We consider the transfer of a single state and Bell states across a multiferroic spin chain and the possibility of an electric field control of the fidelity of the single state and the Bell pairs. We analyze pure and imperfect multiferroic spin chains. A scheme for an efficient transfer of spin states through a multiferroic channel relies on kicking by appropriate electric field pulses at regular interval. This electric field pulse sequence undermines the effect of impurity on the fidelity and improves the state transfer through the helical chain.Introduction. -Spin chains have long been studied as a credible contender for carrying out quantum information processing and transmission [1][2][3][4][5][6][7][8][9][10][11]. Various new experiments have been carried out and numerous models proposed for spin chain systems [12][13][14]. The systems of interest in the present paper is a multiferroic spin chain through which, we seek to transfer quantum information or qubits. Multiferroic systems possess intrinsically coupled magnetic and ferroelectric order parameters [15][16][17][18]. Hence, the strong magneto-electric coupling can be utilized as a tool in quantum information processing. For spin-driven emergence of ferroelectric polarization, the ferroelectric order parameter is directly related to the non-collinear magnetic order. The ferroelectric polarization vanishes in the collinear magnetic (ferro or antiferromagnetic) phase, while in case of a chiral spin order a net polarization remains that can couple to an external electric field allowing so for an electric-field control of the magnetic order. Under a certain geometry of the system and the applied external fields, magneto-electric coupling term mimics dynamical Dzyaloshinskii-Moriya interaction. Breaking of the inversion symmetry associated with the Dzyaloshinskii-Moriya interaction may have key consequences for the transfer of quantum information. In order to identify the influence of electric field we first investigate the transmission of qubits through a multiferrroic chain with a static constant electric field and then introduce the electric field kicks at a regular interval. It is noteworthy that a continuous application of the electric field with changing the amplitude leads to a complex nature of the time evolution operator i.e., of an integral form due to the non commutation of the exchange interaction and the Dzyaloshinskii-

Quantum interference of "clocks", namely of particles with time-evolving internal degrees of freedom (DOFs), is a promising avenue to test genuine general relativistic effects in quantum systems. The clock acquires which path information while experiencing different proper times on traversing the arms of the interferometer, leading to a drop in its path visibility. We consider scenarios where the clock is subject to environmental noise as it transits through the interferometer. In particular, we develop a generalized formulation of interferometric visibility affected by noise on the clock. We find that, for small noise and small proper time difference between the arms, the noise further reduces the visibility, while in more general situations it can either increase or reduce the visibility. As an example, we investigate the effect of a thermal environment constituted by a single field mode and show that the visibility drops further as the temperature is increased. Additionally, by considering noise models based on standard quantum channels, we show that interferometric visibility can increase or decrease depending on the type of noise and also the time scale and transition probabilities. The quantification of the effect of noise on the visibility – particularly in the case of a thermal environment paves the way for a better estimate on the expected outcome in an actual experiment.

Introduction. -Through this document, we wish to respond to the comments [1] made on our manuscript entitled "Schwinger's model of angular momentum with GUP". First of all, the authors have wrongly presumed that we have invalidated/questioned their results in [2]. In the abstract section, they claim that their work is valid, on which, we made no claims suggesting the contrary in the paper [3]. In fact we have used some of their results in our work. The only issue which we found was that the Clebsch-Gordan (CG) coefficients for the same state, obtained in their work by applying J − and J + operators were different. This is clearly unacceptable. This situation can be better described with the word "inconsistency" rather than with the word, "ambiguous". We feel that there was, in fact, no ambiguity in the mathematical calculations of CG coefficients using the operators J − and J + in their works. In our work we have removed this inconsistency. Now, we shall try to address the specific points raised by the authors.