We investigate the qubit in the hierarchical environment where the first layer is just one lossy cavity while the second layer is the $N$ -coupled lossy cavities. In the weak-coupling regime between the qubit and the first-layer environment, the dynamics crossovers from Markovian to non-Markovian and from no-speedup to speedup can be realized by controlling the hierarchical environment. We find that the coupling strength between two nearest-neighbor cavities and the number of cavities in the second-layer environment have the opposite effect on the non-Markovian dynamics and speedup evolution of the qubit. However, in the case of strong coupling between the qubit and the first-layer environment, we can be surprised to find that, compared with the original non-Markovian dynamics, the added second-layer environment cannot play a beneficial role on the speedup of the dynamics of the system. In addition, a phenomenon can be noticed that the complete opposite role of the coupling strength between two nearest-neighbor cavities (the number of cavities) in the second-layer environment in the above weak- and strong-coupling regimes.We investigate the qubit in the hierarchical environment where the first layer is just one lossy cavity while the second layer is the $N$-coupled lossy cavities. In the weak-coupling regime between the qubit and the first-layer environment, the dynamics crossovers from Markovian to non-Markovian and from no-speedup to speedup can be realized by controlling the hierarchical environment. We find that the coupling strength between two nearest-neighbor cavities and the number of cavities in the second-layer environment have the opposite effect on the non-Markovian dynamics and speedup evolution of the qubit. However, in the case of strong coupling between the qubit and the first-layer environment, we can be surprised to find that, compared with the original non-Markovian dynamics, the added second-layer environment cannot play a beneficial role on the speedup of the dynamics of the system. In addition, a phenomenon can be noticed that the complete opposite role of the coupling strength between two nearest-neighbor cavities (the number of cavities) in the second-layer environment in the above weak- and strong-coupling regimes.

arXiv:1802.01278Physical Review AAug 8, 201834 citations

Entanglement dynamics of qubits in a common environment

Jun‐Hong An, Shun-Jin Wang, Hong‐Gang Luo

arXiv:quant-ph/0604020Physica A Statistical Mechanics and its ApplicationsApr 20, 200731 citations

Hierarchical controlled quantum communication via the χ state under noisy environment

Nian-Nian Wang, Song-Ya Ma, Xiang Li

Wang et al. first studied hierarchical quantum information splitting of an arbitrary single-qubit state via the [Formula: see text] state as the entangled channel. There exists a hierarchy among the three receivers as far as the power to recover the teleported state is concerned. But the scheme is considered in ideal environment. In this paper, we reinvestigate the scheme in amplitude-damping and phase-damping noises. The fidelity and average fidelity are adopted to quantify the effect of noise. It is found that they are both dependent on the coefficients of the teleported state and the noise parameter. Moreover, we put forward a novel deterministic scheme to realize hierarchical controlled remote preparation of an arbitrary single-qubit state. Comparing with the previous scheme via the [Formula: see text] state, the sender does not need to perform information dividing due to the subtly constructed measurement basis. We also consider the proposed scheme under noisy environment.Wang et al. first studied hierarchical quantum information splitting of an arbitrary single-qubit state via the [Formula: see text] state as the entangled channel. There exists a hierarchy among the three receivers as far as the power to recover the teleported state is concerned. But the scheme is considered in ideal environment. In this paper, we reinvestigate the scheme in amplitude-damping and phase-damping noises. The fidelity and average fidelity are adopted to quantify the effect of noise. It is found that they are both dependent on the coefficients of the teleported state and the noise parameter. Moreover, we put forward a novel deterministic scheme to realize hierarchical controlled remote preparation of an arbitrary single-qubit state. Comparing with the previous scheme via the [Formula: see text] state, the sender does not need to perform information dividing due to the subtly constructed measurement basis. We also consider the proposed scheme under noisy environment.

Modern Physics Letters AOct 29, 202014 citations

Entanglement dynamics of a three-qubit system interacting with a quantum spin environment

Jin‐Liang Guo, Jiasen Jin, He‐Shan Song

Physica A Statistical Mechanics and its ApplicationsMay 14, 20092 citations

Hierarchical controlled bidirectional hybrid quantum information transmission for arbitrary two-qubit states in noisy environments

Benchao Yang

Abstract This paper proposes a hierarchical controlled bidirectional hybrid quantum information transmission (HCBHQIT) protocol for arbitrary two-qubit states based on a special ten-qubit entangled state. The protocol implements a hierarchical control mechanism where high-level agent Alice can complete quantum teleportation of any unknown two-qubit state to Bob with only one controller Charlie’s assistance, while low-level agent Bob requires collaborative control from both Charlie and an additional controller David to remotely prepare arbitrary known two-qubit states at Alice’s location (with Alice remaining completely unaware of the state). We comprehensively analyze protocol implementation in noisy environments, particularly examining fidelity degradation under various noise conditions, and calculate the intrinsic efficiency through comparative evaluations. The scheme innovatively integrates multi-level control architecture with bidirectional hybrid communication technology over a shared quantum channel, with detailed discussions for both ideal and noisy scenarios. Demonstrated to maintain practical value across multiple application scenarios, this protocol advances controllable quantum communication systems through its hierarchical access management and dual-directional information transfer capabilities.Abstract This paper proposes a hierarchical controlled bidirectional hybrid quantum information transmission (HCBHQIT) protocol for arbitrary two-qubit states based on a special ten-qubit entangled state. The protocol implements a hierarchical control mechanism where high-level agent Alice can complete quantum teleportation of any unknown two-qubit state to Bob with only one controller Charlie’s assistance, while low-level agent Bob requires collaborative control from both Charlie and an additional controller David to remotely prepare arbitrary known two-qubit states at Alice’s location (with Alice remaining completely unaware of the state). We comprehensively analyze protocol implementation in noisy environments, particularly examining fidelity degradation under various noise conditions, and calculate the intrinsic efficiency through comparative evaluations. The scheme innovatively integrates multi-level control architecture with bidirectional hybrid communication technology over a shared quantum channel, with detailed discussions for both ideal and noisy scenarios. Demonstrated to maintain practical value across multiple application scenarios, this protocol advances controllable quantum communication systems through its hierarchical access management and dual-directional information transfer capabilities.

Physica ScriptaJul 28, 20252 citations

We investigate the qubit in the hierarchical environment where the first layer is just one lossy cavity while the second layer is the

N

-coupled lossy cavities. In the weak-coupling regime between the qubit and the first-layer environment, the dynamics crossovers from Markovian to non-Markovian and from no-speedup to speedup can be realized by controlling the hierarchical environment. We find that the coupling strength between two nearest-neighbor cavities and the number of cavities in the second-layer environment have the opposite effect on the non-Markovian dynamics and speedup evolution of the qubit. However, in the case of strong coupling between the qubit and the first-layer environment, we can be surprised to find that, compared with the original non-Markovian dynamics, the added second-layer environment cannot play a beneficial role on the speedup of the dynamics of the system. In addition, a phenomenon can be noticed that the complete opposite role of the coupling strength between two nearest-neighbor cavities (the number of cavities) in the second-layer environment in the above weak- and strong-coupling regimes.