Decoherence in the three-state quantum walk
- URL: http://arxiv.org/abs/2107.09124v1
- Date: Mon, 19 Jul 2021 19:40:00 GMT
- Title: Decoherence in the three-state quantum walk
- Authors: Lu\'isa Toledo Tude and Marcos C. de Oliveira
- Abstract summary: We analyze the decoherence in a three-state uni-dimensional quantum walk.
The approaches taken into consideration to account for the environment effects are phase and amplitude damping operators, unitary noise on the coin space, and broken links.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum walks are dynamic systems with a wide range of applications in
quantum computation and quantum simulation of analog systems, therefore it is
of common interest to understand what changes from an isolated process to one
embedded in an environment. In the present work, we analyze the decoherence in
a three-state uni-dimensional quantum walk. The approaches taken into
consideration to account for the environment effects are phase and amplitude
damping Kraus operators, unitary noise on the coin space, and broken links.
Related papers
- Unitality Conditions on Subsystems in Quantum Dynamics [0.0]
We show that if the noise acting on the system is unital (non-unital), then the noise acting on the environment must also be unital (non-unital)
Our result may be of interest in quantum information, and we anticipate it to be useful in various contexts.
arXiv Detail & Related papers (2025-02-17T16:05:55Z) - Quantum reservoir probing of quantum phase transitions [0.0]
We show that quantum phase transitions can be detected through localized out-of-equilibrium excitations induced by local quantum quenches.
The impacts of the local quenches vary across different quantum phases and are significantly suppressed by quantum fluctuations amplified near quantum critical points.
We demonstrate that the QRP can detect quantum phase transitions in the paradigmatic integrable and nonintegrable quantum systems, and even topological quantum phase transitions.
arXiv Detail & Related papers (2024-02-11T03:53:01Z) - Variational quantum simulation using non-Gaussian continuous-variable
systems [39.58317527488534]
We present a continuous-variable variational quantum eigensolver compatible with state-of-the-art photonic technology.
The framework we introduce allows us to compare discrete and continuous variable systems without introducing a truncation of the Hilbert space.
arXiv Detail & Related papers (2023-10-24T15:20:07Z) - System-environment dynamics of GHZ-like states in noninertial frames [14.401323451758975]
Quantum coherence, quantum entanglement and quantum nonlocality are important resources in quantum information precessing.
We study the dynamical evolution of the three-qubit GHZ-like states in non-inertial frame when one and/or two qubits undergo decoherence.
arXiv Detail & Related papers (2022-12-30T03:36:48Z) - From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation.
We describe quantum decays in a 2-level system as coherent and continuous processes.
arXiv Detail & Related papers (2021-07-29T18:27:38Z) - Probing quantum information propagation with out-of-time-ordered
correlators [41.12790913835594]
Small-scale quantum information processors hold the promise to efficiently emulate many-body quantum systems.
Here, we demonstrate the measurement of out-of-time-ordered correlators (OTOCs)
A central requirement for our experiments is the ability to coherently reverse time evolution.
arXiv Detail & Related papers (2021-02-23T15:29:08Z) - 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) - Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator [41.74498230885008]
We demonstrate a programmable quantum simulator based on deterministically prepared two-dimensional arrays of neutral atoms.
We benchmark the system by creating and characterizing high-fidelity antiferromagnetically ordered states.
We then create and study several new quantum phases that arise from the interplay between interactions and coherent laser excitation.
arXiv Detail & Related papers (2020-12-22T19:00:04Z) - Quantum Circuits for Collective Amplitude Damping in Two-Qubit Systems [0.0]
We investigate formulations of the collective quantum noises represented as quantum circuits.
We demonstrate digital quantum simulations of the collective amplitude damping by examining six different initial conditions.
These results pave the way for establishing systematic approaches to control the quantum noises and designing large-scale quantum computers.
arXiv Detail & Related papers (2020-12-04T05:17:56Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - One-Dimensional Lazy Quantum walk in Ternary System [2.6913398550088474]
We present one dimensional three-state quantum walk(lazy quantum walk)
We show its equivalence for circuit realization in ternary quantum logic for the first of its kind.
arXiv Detail & Related papers (2020-06-17T08:12:56Z) - Quantum walks and Dirac cellular automata on a programmable trapped-ion
quantum computer [1.2324860823895265]
We present the circuit-based implementation of a discrete-time quantum walk in position space on a five-qubit trapped-ion quantum processor.
We encode the space of walker positions in particular multi-qubit states and program the system to operate with different quantum walk parameters, experimentally realizing a Dirac cellular automaton with tunable mass parameter.
The quantum walk circuits and position state mapping scale favorably to a larger model and physical systems, allowing the implementation of any algorithm based on discrete-time quantum walks algorithm and the dynamics associated with the discretized version of the Dirac equation.
arXiv Detail & Related papers (2020-02-06T22:24:56Z)
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.