Universal Quantum Computation in a Neutral Atom Decoherence Free Subspace

Abstract

In this paper, we propose a way to achieve protected universal computation in a neutral atom quantum computer subject to collective dephasing. Our proposal relies on the existence of a Decoherence Free Subspace (DFS), resulting from symmetry properties of the errors. After briefly describing the physical system and the error model considered, we show how to encode information into the DFS and build a complete set of safe universal gates. Finally, we provide numerical simulations for the fidelity of the different gates in the presence of time-dependent phase errors and discuss their performance and practical feasibility.

7 pages, 8 figures

References in corpus (4)

• A Magnetic Resonance Realization of Decoherence-Free Quantum Computation
• Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems
• Universal quantum computation in deocoherence-free subspace with neutral atoms
• Implementation of a CNOT gate in two Rydberg atoms by the nonholonomic control technique

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• A blueprint for fault-tolerant quantum computation with Rydberg atoms
• Suppression of Decoherence and Disentanglement by the Exchange Interaction
• Quantum repeater with Rydberg blocked atomic ensembles in fiber-coupled cavities
• KLM quantum computation with bosonic atoms
• Sudden death of entanglement in fermionic systems under collective decoherence