Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer

C Huerta Alderete, S Singh, NH Nguyen, D Zhu… - Nature …, 2020 - nature.com
The quantum walk formalism is a widely used and highly successful framework for modeling
quantum systems, such as simulations of the Dirac equation, different dynamics in both the …

Universal quantum computing using single-particle discrete-time quantum walk

S Singh, P Chawla, A Sarkar, CM Chandrashekar - Scientific Reports, 2021 - nature.com
Quantum walk has been regarded as a primitive to universal quantum computation. In this
paper, we demonstrate the realization of the universal set of quantum gates on two-and …

Trade-off relations of quantum resource theory in neutrino oscillations

YW Li, LJ Li, XK Song, D Wang - The European Physical Journal Plus, 2022 - Springer
The violation of the classical bounds imposed by Leggett-Garg inequalities has tested the
quantumness of neutrino oscillations (NOs) over a long distance during the propagation …

Nonlinear flip-flop quantum walks through potential barriers

FS Passos, ARC Buarque - Physical Review A, 2022 - APS
The dynamics of nonlinear flip-flop quantum walk with amplitude-dependent phase shifts
with pertubing potential barrier is investigated. Through the adjustment between uniform …

Enhanced non-Markovian behavior in quantum walks with Markovian disorder

NP Kumar, S Banerjee, CM Chandrashekar - Scientific reports, 2018 - nature.com
Non-Markovian quantum effects are typically observed in systems interacting with structured
reservoirs. Discrete-time quantum walks are prime example of such systems in which …

Simulating Dirac Hamiltonian in curved space-time by split-step quantum walk

A Mallick, S Mandal, A Karan… - Journal of Physics …, 2019 - iopscience.iop.org
Dirac particle represents a fundamental constituent of our nature. Simulation of Dirac particle
dynamics by a controllable quantum system using quantum walks will allow us to investigate …

Multiparameter quantum metrology with discrete-time quantum walks

M Annabestani, M Hassani, D Tamascelli, MGA Paris - Physical Review A, 2022 - APS
We address multiparameter quantum estimation for one-dimensional discrete-time quantum
walks and its applications to quantum metrology. We use the quantum walker as a probe for …

Bounds on the dynamics of periodic quantum walks and emergence of the gapless and gapped Dirac equation

NP Kumar, R Balu, R Laflamme, CM Chandrashekar - Physical Review A, 2018 - APS
We study the dynamics of discrete-time quantum walk using quantum coin operations, C ̂
(θ 1) and C ̂ (θ 2), in time-dependent periodic sequence. For the two-period quantum walk …

Open system approach to neutrino oscillations in a quantum walk framework

H Sahu, CM Chandrashekar - Quantum Information Processing, 2024 - Springer
Quantum simulation provides a computationally feasible approach to model and study many
problems in chemistry, condensed-matter physics, or high-energy physics where quantum …

Characterization of anomalous diffusion in one-dimensional quantum walks

AS Hegde, CM Chandrashekar - Journal of Physics A …, 2022 - iopscience.iop.org
Quantum walks are known to propagate quadratically faster than their classical counterparts
and are used to model dynamics in various quantum systems. The spread of the quantum …