Quantum simulation of frustrated Ising spins with trapped ions

  title={Quantum simulation of frustrated Ising spins with trapped ions},
  author={Kihwan Kim and Ming-Shien Chang and Simcha Korenblit and Rajibul Islam and Emily E. Edwards and James K. Freericks and Guin-Dar Lin and Luming Duan and Christopher R. Monroe},
A network is frustrated when competing interactions between nodes prevent each bond from being satisfied. This compromise is central to the behaviour of many complex systems, from social and neural networks to protein folding and magnetism. Frustrated networks have highly degenerate ground states, with excess entropy and disorder even at zero temperature. In the case of quantum networks, frustration can lead to massively entangled ground states, underpinning exotic materials such as quantum… 
Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator
This prototypical quantum simulation points the way toward a new probe of frustrated quantum magnetism and perhaps the design of new quantum materials.
Quantum simulation of a frustrated Heisenberg spin system
Quantum simulators are capable of calculating properties of quantum systems unfeasible for classical computers. Here we report the analog quantum simulation of arbitrary Heisenberg-type interactions
Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins
A spin-dependent optical dipole force can produce an antiferromagnetic interaction, and this demonstration, coupled with the high spin count, excellent quantum control and low technical complexity of the Penning trap, brings within reach the simulation of otherwise computationally intractable problems in quantum magnetism.
Multipartite quantum correlations reveal frustration in a quantum Ising spin system
We report a nuclear magnetic resonance experiment, which simulates the quantum transverse Ising spin system in a triangular configuration, and further demonstrate that multipartite quantum
Quantum simulation of antiferromagnetic spin chains in an optical lattice
By demonstrating a route to quantum magnetism in an optical lattice, this work should facilitate further investigations of magnetic models using ultracold atoms, thereby improving the understanding of real magnetic materials.
Quantum physics: Frustrated trio mimicked
The authors study the process by performing a quantum simulation of a frustrated spin system using three trapped atomic ions, whose interactions are precisely controlled using optical forces.
Dynamical quantum correlations of Ising models on an arbitrary lattice and their resilience to decoherence
Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic
Onset of a quantum phase transition with a trapped ion quantum simulator.
This work simulates the emergence of magnetism by implementing a fully connected non-uniform ferromagnetic quantum Ising model using up to 9 trapped (171)Yb(+) ions, providing a critical benchmark for the simulation of intractable arbitrary fully connected Ising models in larger systems.
Simulating spin systems with Majorana networks
With the discovery of Majorana quasiparticles in semiconductor-superconductor hybrid structures, topologically protected qubits have emerged as a promising contender for quantum information
A cold-atom Fermi–Hubbard antiferromagnet
The results demonstrate that microscopy of cold atoms in optical lattices can help to understand the low-temperature Fermi–Hubbard model and provide a valuable benchmark for numerical simulations.


Simulating a quantum magnet with trapped ions
To gain deeper insight into the dynamics of complex quantum systems we need a quantum leap in computer simulations. We cannot translate quantum behaviour arising from superposition states or
Frustration, interaction strength, and ground-state entanglement in complex quantum systems
Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian. We quantify this
Frustration and entanglement in the t2g spin-orbital model on a triangular lattice : Valence-bond and generalized liquid states
We consider the spin--orbital model for a magnetic system with singly occupied but triply degenerate $t_{2g}$ orbitals coupled into a planar, triangular lattice, as would be exemplified by NaTiO$_2$.
The “arch” of simulating quantum spin systems with trapped ions
We cannot translate quantum behavior arising with superposition states or entanglement efficiently into the classical language of conventional computers  (Feynman et al. in Int. J. Theor. Phys.
Spin Ice State in Frustrated Magnetic Pyrochlore Materials
The essential physics of spin ice, as it is currently understood, is described and new avenues for future research on related materials and models are identified.
Non-Abelian Anyons and Topological Quantum Computation
Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of
Effective spin quantum phases in systems of trapped ions (11 pages)
A system of trapped ions under the action of off-resonant standing waves can be used to simulate a variety of quantum spin models. In this work, we describe theoretically quantum phases that can be
Frustrated Spin Systems
This book covers recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The book is organized as follows. The first two chapters deal with properties and
Experimental entanglement of four particles
This work implements a recently proposed entanglement technique to generate entangled states of two and four trapped ions using a single laser pulse, and the method can in principle be applied to any number of ions.
Geometrical Frustration
© 2006 American Institute of Physics, S-0031-9228-0602-010-2 T ancient Greeks were aware of the phenomenon of magnetic order in lodestone, a type of rock containing the ferromagnet magnetite Fe3O4.