Perfect state transfers by selective quantum interferences within complex spin networks

Abstract

We present a method that implement directional, perfect state transfers within a branched spin network by exploiting quantum interferences in the time-domain. That provides a tool to isolate subsystems from a large and complex one. Directionality is achieved by interrupting the spin-spin coupled evolution with periods of free Zeeman evolutions, whose timing is tuned to be commensurate with the relative phases accrued by specific spin pairs. This leads to a resonant transfer between the chosen qubits, and to a detuning of all remaining pathways in the network, using only global manipulations. As the transfer is perfect when the selected pathway is mediated by 2 or 3 spins, distant state transfers over complex networks can be achieved by successive recouplings among specific pairs/triads of spins. These effects are illustrated with a quantum simulator involving 13C NMR on Leucine's backbone; a six-spin network.

5 pages, 3 figures

References in corpus (9)

• Spin Chains as Perfect Quantum State Mirrors
• Globally controlled quantum wires for perfect qubit transport, mirroring and computing
• Simulations of Information Transport in Spin Chains
• Environmentally induced Quantum Dynamical Phase Transition in the spin swapping operation
• Dynamics and Control of a Quasi-1D Spin System
• Perfect state transfer over distance-regular spin networks
• Quantum Information Processing with Delocalized Qubits under Global Control
• Signatures of a quantum dynamical phase transition in a three-spin system in presence of a spin environment
• Quantum state transfer with untuneable couplings

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