Abstract
The spin chain is a system that has been widely studied for its quantum phase transition. It also holds potential for practical application in quantum information, including quantum communication and quantum computation. In this paper, we propose a scheme for conditional state transfer in a Heisenberg XXZ spin chain. In our scheme, the absence or presence of a periodic driving potential results in either a perfect state transfer between the input and output ports, or a complete blockade at the input port. This scheme is formalized by deriving an analytical expression of the effective Hamiltonian for the spin chain subject to a periodic driving field in the high-frequency limit. The influence of the derivation of the optimal parameter on the performance of the state transfer is also examined, showing the robustness of the spin chain for state transfer. In addition, the collective decoherence effect on the fidelity of state transfer is discussed. The proposed scheme paves the way for the realization of integrated quantum logic elements, and may find application in quantum information processing.
Highlights
One important task of quantum information processing is to transfer quantum states from one location (A) to another (B)
Resonant transfer of a spin excitation between the input and output ports occurs without periodic driving. (b) The spin excitation transfer is blocked if a special periodic driving is applied
We present a scheme for a quantum spin transistor realized with a Heisenberg spin chain
Summary
One important task of quantum information processing is to transfer quantum states from one location (A) to another (B). The physics of driving quantum system has been studied extensively for decades[14,15,16,17,18,19,20,21,22,23,24,25,26,27,28], in particular the research of such systems is of great significance to quantum information processing[29,30,31,32,33,34] in recent years With these knowledge, we wonder if a controlled state transfer can be realized in a spin chain by a periodic drive. Inspire us to find a more precise method, using a dynamic Heisenberg spin chain, to achieve the perfect state transfer with high fidelity and short time as well as fewer approximations
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