Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

• URL: http://arxiv.org/abs/2209.06252v1
• Date: Tue, 13 Sep 2022 18:13:22 GMT
• Title: Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator
• Authors: Caio B. Naves, Marcelo A. Pires, Diogo O. Soares-Pinto, S\'ilvio M. Duarte Queir\'os
• Abstract summary: We show that considering a given disorder in one direction, it is possible to control the degree of spreading and entanglement in the other direction. This observation helps assert that the random quantum walks of this ilk serve as a controllable decoherence channel.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study a 2-D disordered time-discrete quantum walk based on 1-D `generalized elephant quantum walk' where an entangling coin operator is assumed and which paves the way to a new set of properties. We show that considering a given disorder in one direction, it is possible to control the degree of spreading and entanglement in the other direction. This observation helps assert that the random quantum walks of this ilk serve as a controllable decoherence channel with the degree of randomness being the tunable parameter and highlight the role of dimensionality in quantum systems regarding information and transport.

Related papers

• Observation of disorder-free localization and efficient disorder averaging on a quantum processor [117.33878347943316]
  We implement an efficient procedure on a quantum processor, leveraging quantum parallelism, to efficiently sample over all disorder realizations. We observe localization without disorder in quantum many-body dynamics in one and two dimensions.
  arXiv  Detail & Related papers  (2024-10-09T05:28:14Z)
• A vertical gate-defined double quantum dot in a strained germanium double quantum well [48.7576911714538]
  Gate-defined quantum dots in silicon-germanium heterostructures have become a compelling platform for quantum computation and simulation. We demonstrate the operation of a gate-defined vertical double quantum dot in a strained germanium double quantum well. We discuss challenges and opportunities and outline potential applications in quantum computing and quantum simulation.
  arXiv  Detail & Related papers  (2023-05-23T13:42:36Z)
• Effect of induced transition on the quantum entanglement and coherence in two-coupled double quantum dots system [0.0]
  Double quantum dots (DQDs) appear as a versatile platform for technological breakthroughs in quantum computation and nanotechnology. This work inspects the thermal entanglement and quantum coherence in two-coupled DODs, where the system is exposed to an external stimulus that induces an electronic transition within each subsystem.
  arXiv  Detail & Related papers  (2022-11-08T22:07:26Z)
• Dynamical entanglement transition in the probabilistic control of chaos [0.0]
  We uncover a dynamical entanglement transition in a monitored quantum system heralded by a local order parameter. We show that such control transitions persist in open quantum systems where control is implemented with local measurements and unitary feedback. Unlike other entanglement transitions in monitored quantum circuits, this transition can also be probed by correlation functions without resolving individual quantum trajectories.
  arXiv  Detail & Related papers  (2022-07-25T18:00:01Z)
• Enhancing nonclassical bosonic correlations in a Quantum Walk network through experimental control of disorder [50.591267188664666]
  We experimentally realize a controllable inhomogenous Quantum Walk dynamics. We observe two photon states which exhibit an enhancement in the quantum correlations between two modes of the network.
  arXiv  Detail & Related papers  (2021-02-09T10:57:00Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Scattering as a quantum metrology problem: a quantum walk approach [0.0]
  We address the scattering of a quantum particle by a one-dimensional barrier potential over a set of discrete positions. We formalize the problem as a continuous-time quantum walk on a lattice with an impurity, and use the quantum Fisher information as a mean to quantify the maximal possible accuracy in the estimation of the height of the barrier.
  arXiv  Detail & Related papers  (2020-10-23T14:42:25Z)
• Quantum information spreading in a disordered quantum walk [50.591267188664666]
  We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport. Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
  arXiv  Detail & Related papers  (2020-10-20T20:03:19Z)
• Quantum control using quantum memory [0.0]
  We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space-time grid. We show how, introducing a quantum memory for each of the spatial grid, this result can be achieved simply by acting on the initial state of the whole system.
  arXiv  Detail & Related papers  (2020-09-22T09:18:19Z)
• Entanglement entropy scaling transition under competing monitoring protocols [0.0]
  We analyze the competition between two different dissipation channels arising from two incompatible continuous monitoring protocols. By studying the trajectory of quantum trajectories associated with the continuous monitoring protocols, we present a transition for the scaling of the averaged entanglement entropies.
  arXiv  Detail & Related papers  (2020-08-19T18:23:01Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.