# Dynamical Hamiltonian engineering of 2D rectangular lattices in a one-dimensional ion chain

@article{Rajabi2018DynamicalHE, title={Dynamical Hamiltonian engineering of 2D rectangular lattices in a one-dimensional ion chain}, author={Fereshteh Rajabi and Sainath Motlakunta and C. Y. Shih and Nikhil Kotibhaskar and Qudsia Quraishi and Ashok Ajoy and Rajibul Islam}, journal={npj Quantum Information}, year={2018}, volume={5}, pages={1-7} }

Controlling the interaction graph between spins or qubits in a quantum simulator allows user-controlled tailoring of native interactions to achieve a target Hamiltonian. Engineering long-ranged phonon-mediated spin–spin interactions in a trapped ion quantum simulator offers such a possibility. Trapped ions, a leading candidate for quantum simulation, are most readily trapped in a linear 1D chain, limiting their utility for readily simulating higher dimensional spin models. In this work, we…

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## References

SHOWING 1-10 OF 68 REFERENCES

### Creation of two-dimensional Coulomb crystals of ions in oblate Paul traps for quantum simulations

- Physics
- 2014

We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a…

### Quantum simulation via filtered Hamiltonian engineering: application to perfect quantum transport in spin networks.

- PhysicsPhysical review letters
- 2013

The Hamiltonian engineering method can be made more robust under decoherence and coupling disorder by a novel apodization scheme and can be used to engineer the Hamiltonian of many complex spin lattices with different topologies and interactions.

### Quantum simulation of spin models on an arbitrary lattice with trapped ions

- Physics
- 2012

A collection of trapped atomic ions represents one of the most attractive platforms for the quantum simulation of interacting spin networks and quantum magnetism. Spin-dependent optical dipole forces…

### Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins

- PhysicsNature
- 2012

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.

### Programmable quantum simulation by dynamic Hamiltonian engineering

- Physics
- 2014

Quantum simulation is a promising near term application for quantum information processors with the potential to solve computationally intractable problems using just a few dozen interacting qubits.…

### Onset of a quantum phase transition with a trapped ion quantum simulator.

- PhysicsNature communications
- 2011

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.

### Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator

- PhysicsNature
- 2017

Here, a quantum simulator composed of up to 53 qubits is used to study non-equilibrium dynamics in the transverse-field Ising model with long-range interactions, enabling the dynamical phase transition to be probed directly and revealing computationally intractable features that rely on the long- range interactions and high connectivity between qubits.

### Two-dimensional ion crystals in radio-frequency traps for quantum simulation

- Physics
- 2016

The computational difficulty of solving fully quantum many-body spin problems is a significant obstacle to understanding the behavior of strongly correlated quantum matter. Experimental ion-trap…

### Simulating a quantum magnet with trapped ions

- Physics
- 2008

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…

### Quantum spin dynamics and entanglement generation with hundreds of trapped ions

- PhysicsScience
- 2016

It is shown that a two-dimensional “crystal” of around 200 9Be+ ions held together by magnetic and electric fields in a so-called Penning trap can simulate quantum magnetism, which sets the stage for simulations with more complicated forms of interaction that classical computers would find intractable.