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Annalen der Physik

Controlling Entanglement for Enhanced Dense Coding in Anisotropic Floquet‐Driven Two‐Qutrit System

Mansour F. Yassen, Emad K. Jaradat, Altahir Saad, Abdel‐Baset A. Mohamed

Published Mar 1, 2026• 0 citations
Publisher

Abstract

ABSTRACT High‐dimensional quantum systems offer a promising pathway to exceed information capacity limits, yet realizing robust dense coding remains challenged by decoherence. While Floquet engineering allows dynamic control, its potential in high‐spin systems is not fully exploited. Here, presenting a novel integration of periodic driving with higher‐dimensional thermal spin models, we investigate the dense coding capacity of a two‐qutrit Heisenberg XXZ system with single‐ion anisotropy. By deriving an effective Hamiltonian, we analyze the effect of the external driving parameters on the system's quantum resources. We demonstrate capacity modulation via the Floquet driving ratio, where renormalization factor zeros induce dynamical decoupling, suppressing quantum advantage. Crucially, negative single‐ion anisotropy amplifies quantum efficiency gain to approximately 95% relative to the classical limit, offering resilience against thermal fluctuations. Furthermore, we numerically demonstrate a monotonic, nonlinear parametric dependence between capacity and negativity, revealing a critical entanglement threshold required to surpass the classical Holevo bound. These results provide a blueprint for designing tunable, high‐capacity quantum channels, highlighting anisotropy as a pivotal control parameter.

DOI
10.1002/andp.70187

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ABSTRACT High‐dimensional quantum systems offer a promising pathway to exceed information capacity limits, yet realizing robust dense coding remains challenged by decoherence. While Floquet engineering allows dynamic control, its potential in high‐spin systems is not fully exploited. Here, presenting a novel integration of periodic driving with higher‐dimensional thermal spin models, we investigate the dense coding capacity of a two‐qutrit Heisenberg XXZ system with single‐ion anisotropy. By deriving an effective Hamiltonian, we analyze the effect of the external driving parameters on the system's quantum resources. We demonstrate capacity modulation via the Floquet driving ratio, where renormalization factor zeros induce dynamical decoupling, suppressing quantum advantage. Crucially, negative single‐ion anisotropy amplifies quantum efficiency gain to approximately 95% relative to the classical limit, offering resilience against thermal fluctuations. Furthermore, we numerically demonstrate a monotonic, nonlinear parametric dependence between capacity and negativity, revealing a critical entanglement threshold required to surpass the classical Holevo bound. These results provide a blueprint for designing tunable, high‐capacity quantum channels, highlighting anisotropy as a pivotal control parameter.
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Abstract This paper explores enhancing quantum dense coding capacity in finite-temperature decoherence environments via parity-time ( PT ) symmetric operations. We derive the master equation for a two-qubit system in a thermal bath, analyzing dense coding dynamics with and without PT symmetry operations. Without PT operations, the quantum dense coding capacity is highly sensitive to temperature parameter and decoherence rate, losing its advantage at high temperatures. Introducing a local PT symmetric operation on one qubit restores and surpasses the noiseless capacity. Additionally, numerical analysis demonstrates that by adjusting the non-Hermiticity, the optimal protection rate can always exceed 1. Our findings demonstrate PT symmetric operations as a novel tool to protect quantum correlations and enhance information transmission in realistic thermal settings, offering insights for robust quantum communication protocols.
Periodically driven quantum systems host exotic phenomena that often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized by controlling the drive frequency. Recent experimental developments in synthetic quantum matter, such as superconducting qubits and cold atoms, have opened avenues for implementing local Floquet engineering which can achieve spatially modulated quantum control of states. Here, we uncover the novel memory effects of local periodic driving in a nonintegrable spin-half staggered Heisenberg chain. For a boundary-driven protocol at the dynamical freezing frequency, we show the formation of an approximate strong zero mode, a prethermal quasilocal operator, due to the emergence of a discrete global Z2 symmetry. This is captured by constructing an accurate effective Floquet Hamiltonian using a higher-order partially resummed Floquet-Magnus expansion. The lifetime of the boundary spin can be exponentially enhanced by enlarging the set of suitably chosen driven sites. We demonstrate that in the asymptotic limit, achieved by increasing the number of driven sites, a strong zero mode emerges, where the lifetime of the boundary spin grows exponentially with system size. The nonlocal processes in the Floquet Hamiltonian play a pivotal role in the total freezing of the boundary spin in the thermodynamic limit. The novel dynamics of the boundary spin is accompanied by a rich structure of entanglement in the Floquet eigenstates where specific bipartitions yield an area-law scaling while the entanglement for random bipartitions scales as a volume-law. Our work addresses the long-standing question of the existence of a strong zero mode in a nonintegrable model and elucidates the complex nature of thermalization in locally driven systems. Published by the American Physical Society 2024