Quantum communication through anisotropic Heisenberg XY spin chains

Abstract

We study quantum communication through an anisotropic Heisenberg XY chain in a transverse magnetic field. We find that for some time $t$ and anisotropy parameter $\gamma$, one can transfer a state with a relatively high fidelity. In the strong-field regime, the anisotropy does not significantly affect the fidelity while in the weak-field regime the affect is quite pronounced. The most interesting case is the the intermediate regime where the oscillation of the fidelity with time is low and the high-fidelity peaks are relatively broad. This would, in principle, allow for quantum communication in realistic circumstances. Moreover, we calculate the purity, or tangle, as a measure of the entanglement between one spin and all the other spins in the chain and find that the stronger the anisotropy and exchange interaction, the more entanglement will be generated for a given time.

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• Static and dynamical quantum correlations in phases of an alternating field XY model
• Interplay between speed and fidelity in off-resonant quantum-state transfer protocols
• Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
• Flat-band quantum communication induced by disorder
• Emergence of entanglement with temperature and time in factorization-surface states
• General Quantum State Swap: an XY model analysis
• Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
• Remotely detecting the signal of a local decohering process in spin chains