Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Korean Physical Society

Dynamical Localization and Environmental Noise: a Quantum Trajectory Approach

Jin Woo Jun

Published Nov 15, 2007• 1 citation
Publisher

Abstract

Using the quantum trajectory approach, we study the effects of environmental noise on dynamical localization in a quantum algorithm simulating the kicked rotator.We apply two models that generalize single qubit noisy channels, like phase flip and amplitude damping, to the many-qubit situation.Our numerical results show that the quantum trajectory approach is suitable for simulating the quantum kicked rotator in realistic environments.

DOI
10.3938/jkps.51.1817

Related papers

Dynamical Localization and Environmental Noise: a Quantum Trajectory

Jin Woo Jun

Using the quantum trajectory approach, we study the effects of environmental noise on dynamical localization in a quantum algorithm simulating the kicked rotator. We apply two models that generalize single qubit noisy channels, like phase flip and amplitude damping, to the many-qubit situation. Our numerical results show that the quantum trajectory approach is suitable for simulating the quantum kicked rotator in realistic environments.

OSA Workshop on Entanglement and Quantum Decoherence•Jan 1, 2008•0 citations

Simulating noisy quantum protocols with quantum trajectories

Gabriel G. Carlo, Giuliano Benenti, Giulio Casati +1 more

The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that generalize single qubit noise channels like amplitude damping and phase flip to the many-qubit situation. We calculate the fidelity of quantum information transmission through a chaotic channel using the teleportation scheme with different environments. In this example, we analyze the role played by the kind of collective noise suffered by the quantum processor during its operation. We also investigate the stability of a quantum algorithm simulating the quantum dynamics of a paradigmatic model of chaos, the baker's map. Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits.

arXiv:quant-ph/0402102•Physical Review A•Jun 18, 2004•28 citations

Superdense coding in noisy environments: A quantum trajectory approach

Jin Woo Jun

Using the theory of quantum trajectories, we study the classical capacity $\mathbf{C}$ of noisy quantum channels in the superdense coding protocol. We apply the two models that generalize single-qubit noisy channels, such as amplitude damping and phase flip, to the many-qubit situation. Our numerical results show that the quantum trajectory approach is suitable for modeling the superdense coding protocol in realistic environments.

Physical Review A•Jun 2, 2006•6 citations

Teleportation in a Noisy Environment: A Quantum Trajectories Approach

Gabriel G. Carlo, Giuliano Benenti, Giulio Casati

We study the fidelity of quantum teleportation for the situation in which quantum logic gates are used to provide the long distance entanglement required in the protocol, and where the effect of a noisy environment is modeled by means of a generalized amplitude damping channel. Our results demonstrate the effectiveness of the quantum trajectories approach, which allows the simulation of open systems with a large number of qubits (up to 24). This shows that the method is suitable for modeling quantum information protocols in realistic environments.

arXiv:quant-ph/0307065•Physical Review Letters•Dec 19, 2003•44 citations

Efficiency of classical simulations of a noisy Grover algorithm

Raphaël Menu, Johannes Schachenmayer

We analyze the modification of entanglement dynamics in the Grover algorithm when the qubits are subjected to single-qubit amplitude-damping or phase-flip noise. We compare quantum trajectories with full density-matrix simulations, analyzing the dynamics of averaged trajectory entanglement (TE) and operator entanglement (OE), in the respective state representation. Although not a genuine entanglement measure, both TE and OE are connected to the efficiency of matrix product state simulations and thus of fundamental interest. As in many quantum algorithms, at the end of the Grover circuit entanglement decreases as the system converges towards the target product state. While we find that this is well captured in the OE dynamics, quantum trajectories rarely follow paths of reducing entanglement. Optimized unraveling schemes can lower TE slightly, however we show that deep in the circuit OE is generally smaller than TE. This implies that matrix product density operator (MPDO) simulations of quantum circuits can in general be more efficient than quantum trajectories. In addition, we investigate the noise-rate scaling of success probabilities for both amplitude-damping and phase-flip noise in Grover's algorithm.

quant-pharXiv:2602.17569•Feb 20, 2026•0 citations

Dynamical Localization and Repeated Measurements in a Quantum Computation Process

M. Terraneo, Dima L. Shepelyansky

We study numerically the effects of measurements on dynamical localization in the kicked rotator model simulated on a quantum computer. Contrary to the previous studies, which showed that measurements induce a diffusive probability spreading, our results demonstrate that localization can be preserved for repeated single-qubit measurements. We detect a transition from a localized to a delocalized phase, depending on the system parameters and on the choice of the measured qubit.

arXiv:quant-ph/0309192•Physical Review Letters•Jan 22, 2004•8 citations
Using the quantum trajectory approach, we study the effects of environmental noise on dynamical localization in a quantum algorithm simulating the kicked rotator.We apply two models that generalize single qubit noisy channels, like phase flip and amplitude damping, to the many-qubit situation.Our numerical results show that the quantum trajectory approach is suitable for simulating the quantum kicked rotator in realistic environments.
The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that generalize single qubit noise channels like amplitude damping and phase flip to the many-qubit situation. We calculate the fidelity of quantum information transmission through a chaotic channel using the teleportation scheme with different environments. In this example, we analyze the role played by the kind of collective noise suffered by the quantum processor during its operation. We also investigate the stability of a quantum algorithm simulating the quantum dynamics of a paradigmatic model of chaos, the baker's map. Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits.
Using the theory of quantum trajectories, we study the classical capacity C\mathbf{C}C of noisy quantum channels in the superdense coding protocol. We apply the two models that generalize single-qubit noisy channels, such as amplitude damping and phase flip, to the many-qubit situation. Our numerical results show that the quantum trajectory approach is suitable for modeling the superdense coding protocol in realistic environments.
We study the fidelity of quantum teleportation for the situation in which quantum logic gates are used to provide the long distance entanglement required in the protocol, and where the effect of a noisy environment is modeled by means of a generalized amplitude damping channel. Our results demonstrate the effectiveness of the quantum trajectories approach, which allows the simulation of open systems with a large number of qubits (up to 24). This shows that the method is suitable for modeling quantum information protocols in realistic environments.
We analyze the modification of entanglement dynamics in the Grover algorithm when the qubits are subjected to single-qubit amplitude-damping or phase-flip noise. We compare quantum trajectories with full density-matrix simulations, analyzing the dynamics of averaged trajectory entanglement (TE) and operator entanglement (OE), in the respective state representation. Although not a genuine entanglement measure, both TE and OE are connected to the efficiency of matrix product state simulations and thus of fundamental interest. As in many quantum algorithms, at the end of the Grover circuit entanglement decreases as the system converges towards the target product state. While we find that this is well captured in the OE dynamics, quantum trajectories rarely follow paths of reducing entanglement. Optimized unraveling schemes can lower TE slightly, however we show that deep in the circuit OE is generally smaller than TE. This implies that matrix product density operator (MPDO) simulations of quantum circuits can in general be more efficient than quantum trajectories. In addition, we investigate the noise-rate scaling of success probabilities for both amplitude-damping and phase-flip noise in Grover's algorithm.