Preparation of Decoherence Free Cluster States with Optical Superlattices

Abstract

We present a protocol to prepare decoherence free cluster states using ultracold atoms loaded in a two dimensional superlattice. The superlattice geometry leads to an array of 2*2 plaquettes, each of them holding four spin-1/2 particles that can be used for encoding a single logical qubit in the two-fold singlet subspace, insensitive to uniform magnetic field fluctuations in any direction. Dynamical manipulation of the supperlattice yields distinct inter and intra plaquette interactions and permits to realize one qubit and two qubit gates with high fidelity, leading to the generation of universal cluster states for measurement based quantum computation. Our proposal based on inter and intra plaquette interactions also opens the path to study polymerized Hamiltonians which support ground states describing arbitrary quantum circuits.

17 pages, 12 figures

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Cited by in corpus (5)

• Optimal protocols for quantum metrology with noisy measurements
• Error-correcting one-way quantum computation with global entangling gates
• SnCQA: A hardware-efficient equivariant quantum convolutional circuit architecture
• Singlet-only Always-on Gapless Exchange Qubits with Baseband Control
• Isolated Structures in Two-Dimensional Optical Superlattice