A toolbox for lattice-spin models with polar molecules
TLDR
In this paper, the relevant hamiltonians for spin lattice models can be systematically engineered with polar molecules stored in optical lattices, where the spin is represented by a single-valence electron of a heteronuclear molecule.Abstract:
There is growing interest in states of matter with topological order. These are characterized by highly stable ground states robust to perturbations that preserve the topology, and which support excitations with so-called anyonic statistics. Topologically ordered states can arise in two-dimensional lattice-spin models, which were proposed as the basis for a new class of quantum computation. Here, we show that the relevant hamiltonians for such spin lattice models can be systematically engineered with polar molecules stored in optical lattices, where the spin is represented by a single-valence electron of a heteronuclear molecule. The combination of microwave excitation with dipole–dipole interactions and spin–rotation couplings enables building a complete toolbox for effective two-spin interactions with designable range, spatial anisotropy and coupling strengths significantly larger than relevant decoherence rates. Finally, we illustrate two models: one with an energy gap providing for error-resilient qubit encoding, and another leading to topologically protected quantum memory.read more
Citations
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References
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Anyons in an exactly solved model and beyond
TL;DR: In this article, a spin-1/2 system on a honeycomb lattice is studied, where the interactions between nearest neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of interactions may differ in strength.
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String-net condensation: A physical mechanism for topological phases
Michael Levin,Xiao-Gang Wen +1 more
TL;DR: In this article, it was shown that string-net condensation provides a mechanism for unifying gauge bosons and fermions in 3 and higher dimensions, and the theoretical framework underlying topological phases was revealed.
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Topological quantum memory
TL;DR: In this article, the authors studied the topological quantum error-correcting surface codes (surface codes) introduced by Kitaev, where qubits are arranged in a two-dimensional array on a surface of nontrivial topology.
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Quantum computation with trapped polar molecules
TL;DR: This design can plausibly lead to a quantum computer with greater, approximately > or = 10(4) qubits, which can perform approximately 10(5) CNOT gates in the anticipated decoherence time of approximately 5 s.
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Controlling spin exchange interactions of ultracold atoms in optical lattices.
TL;DR: It is illustrated how this technique can be used to efficiently "engineer" quantum spin systems with desired properties, for specific examples ranging from scalable quantum computation to probing a model with complex topological order that supports exotic anyonic excitations.