State transfer in dissipative and dephasing environments

Abstract

By diagonalization of a generalized superoperator for solving the master equation, we investigated effects of dissipative and dephasing environments on quantum state transfer, as well as entanglement distribution and creation in spin networks. Our results revealed that under the condition of the same decoherence rate $\gamma$, the detrimental effects of the dissipative environment are more severe than that of the dephasing environment. Beside this, the critical time $t_c$ at which the transfer fidelity and the concurrence attain their maxima arrives at the asymptotic value $t_0=\pi /2\lambda$ quickly as the spin chain length $N$ increases. The transfer fidelity of an excitation at time $t_0$ is independent of $N$ when the system subjects to dissipative environment, while it decreases as $N$ increases when the system subjects to dephasing environment. The average fidelity displays three different patterns corresponding to $N=4r+1$, $N=4r-1$ and $N=2r$. For each pattern, the average fidelity at time $t_0$ is independent of $r$ when the system subjects to dissipative environment, and decreases as $r$ increases when the system subjects to dephasing environment. The maximum concurrence also decreases as $N$ increases, and when $N\to \infty$, it arrives at an asymptotic value determined by the decoherence rate $\gamma$ and the structure of the spin network.

12 pages, 6 figures

References in corpus (26)

• Dephasing assisted transport: Quantum networks and biomolecules
• Environment-Assisted Quantum Transport
• Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Sudden Death of Entanglement: Classical Noise Effects
• The Propagation of Quantum Information Through a Spin System
• Perfect quantum state transfer with randomly coupled quantum chains
• Perfect state transfer on a spin-chain without state initialization
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Quantum state transmission via a spin ladder as a robust data bus
• Perfect state transfer in long-range interacting spin chains
• Perfect state transfer in networks of arbitrary topology and coupling configuration
• Evolution equation of entanglement for general bipartite systems
• Entanglement Evolution in the Presence of Decoherence
• Hastening, delaying, or averting sudden death of quantum entanglement
• Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
• Decoherence effects on the quantum spin channels
• Quantum State Transfer in Spin-1 Chains
• State transfer in intrinsic decoherence spin channels
• Perfect state transfer over distance-regular spin networks
• The Decay of Multiqudit Entanglement
• Freezing distributed entanglement in spin chains
• Control-limited perfect state transfer, quantum stochastic resonance and many-body entangling gate in imperfect qubit registers
• Dynamics of Global Entanglement under Decoherence
• Decoherence in time evolution of bound entanglement
• Entanglement propagation through spin chains in the presence of a staggered magnetic field

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