Simulation of mirror inversion of quantum states in an XY spin chain using NMR

Abstract

We report an experimental quantum simulation of unitary dynamics of an XY spin chain with pre-engineered couplings. Using this simulation, we demonstrate the mirror inversion of quantum states, proposed by Albanese et al. [Phys. Rev. Lett. 93, 230502 (2004)]. The experiment is performed with a 5-qubit dipolar coupled spin system using nuclear magnetic resonance techniques. To perform quantum simulation we make use of the recently proposed unitary operator decomposition algorithm of Ajoy et al. [Phys. Rev. A 85, 030303 (2012)] along with numerical pulse optimization techniques. Further, using mirror inversion, we demonstrate that entangled states can be transferred from one end of the chain to the other end. The simulations are implemented with high experimental fidelity, which implies that these kind of simulations may be possible in larger systems.

9 pages, 6 figures

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• Simultaneous multiple-users quantum communication across a spin chain channel
• Measurement-Assisted Quantum Communication in Spin Channels with Dephasing
• A novel analytic spin chain model with fractional revival
• Exact Fractional Revival in Spin Chains
• Designing refrigerators in higher dimensions using quantum spin models
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Self-Consistent Determination of Single-Impurity Anderson Model Using Hybrid Quantum-Classical Approach on a Spin Quantum Simulator
• Emulating quantum state transfer through a spin-1 chain on a 1D lattice of superconducting qutrits
• Time independent quantum circuits with local interactions
• Fully-programmable universal quantum simulator with a one-dimensional quantum processor