Heisenberg chains cannot mirror a state

Abstract

Faithful exchange of quantum information can in future become a key part of many computational algorithms. Some Authors suggest to use chains of mutually coupled spins as channels for quantum communication. One can divide these proposals into the groups of assisted protocols, which require some additional action from the users, and natural ones, based on the concept of state mirroring. We show that mirror is fundamentally not the feature chains of spins-1/2 coupled by the Heisenberg interaction, but without local magnetic fields. This fact has certain consequences in terms of the natural state transfer.

References in corpus (7)

• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Mirror Inversion of Quantum States in Linear Registers
• Perfect quantum state transfer with randomly coupled quantum chains
• Quantum state transmission via a spin ladder as a robust data bus
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Entanglement dynamics in chains of qubits with noise and disorder
• Optimal quantum chain communication by end gates