High-fidelity non-adiabatic cutting and stitching of a spin chain via local control

Abstract

We propose and analyze, focusing on non-adiabatic effects, a technique of manipulating quantum spin systems based on local 'cutting' and 'stitching' of the Heisenberg exchange coupling between the spins. This first operation is cutting of a bond separating a single spin from a linear chain, or of two neighboring bonds for a ring-shaped array of spins. We show that the disconnected spin can be in the ground state with a high-fidelity even after a non-adiabatic process. Next, we consider inverse operation of stitching these bonds to increase the system size. We show that the optimal control algorithm can be found by using common numerical procedures with a simple two-parametric control function able to produce a high-fidelity cutting and stitching. These results can be applied for manipulating ensembles of quantum dots, considered as prospective elements for quantum information technologies, and for design of machines based on quantum thermodynamics.

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Cited by in corpus (8)

• Focus on Shortcuts to Adiabaticity
• Nonequilibrium Quantum Thermodynamics in Non-Markovian Adiabatic Speedup
• Optimal remote restoring of quantum states in communication lines via local magnetic field
• Quantum mechanics and speed limit of ultrafast local control in spin chains
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
• Polaron formation in a spin chain by measurement-induced imaginary Zeeman field
• Coherence restoring in communication line via controlled interaction with environment