Quantum control of quantum information perfect transfer in arbitrary-length spin chain
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ORIGINAL PAPER
Quantum control of quantum information perfect transfer in arbitrarylength spin chain Q-L Wang and H-F Ren* Department of Physics, XinZhou Teachers University, XinZhou 034000, People’s Republic of China Received: 13 September 2019 / Accepted: 06 March 2020
Abstract: The single-bit quantum information perfect transfer determined only by the dynamic evolution of the system in a spin chain is investigated. Our results show that the quantum control of the above quantum information perfect transfer can be achieved by applying a low-intensity symmetric magnetic field to the spin chain. We have studied the influence of the magnetic field on the perfect transfer of quantum information in the arbitrary-length spin chain. It gives that the time of the quantum information perfect transfer is determined by applying the low-intensity magnetic field which is symmetric about the spin chain and whose difference value is constant between the closed lattices in the spin chain. Furthermore, we put forward a scheme to achieve the quantum control of quantum information perfect transfer in the arbitrarily-length spin chain by applying the magnetic field. Keywords: Quantum information transfer; Quantum bit; Spin chain; Quantum control
1. Introduction The ability to transfer quantum information reliably and efficiently between the quantum processors is important in quantum processing and quantum computation [1–10]. Quantum information is based on quantum theory which can be used to describe the motion of microscopic particles. The task of quantum information transfer is mainly about how to achieve the transmission of quantum information from one place, named A, to another, named B [6–14]. Quantum information is represented as a quantum state of microscopic system, and the quantum state is transported in quantum information transfer. The perfect transfer of quantum information means that the fidelity is equal to 1 in the transmission process. Thus far, several channel schemes about quantum information transfer have been reported, such as spin chain, diatomic field W state and coherence subspace of a channel [12–16]. Among the schemes, the spin chain scheme is considered as the most important because the quantum information transfer is realized only by means of a solid-state system, while the spin chain is the channel system that just meets this condition in condensed matter physics. Many research groups
*Corresponding author, E-mail: [email protected]
have focused on the spin chain channel and given some useful conclusions. In 2004, Matthias Christandl et al. put forward to a spin chain with the modified Heisenberg-XX Hamiltonian, in which there is only the interaction between the nearest neighbor lattice points. The main idea is that the quantum information transfer in the spin chain can be referred as the quantum walk, and the perfect transfer can be realized only by the free evolution of the spin chain [1, 2]. Shi et al. [17] studied the spin chain with a parabola magnetic field and greatly improved the fidelity
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