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… 

Quantum Simulations with Complex Geometries and Synthetic Gauge Fields in a Trapped Ion Chain

In recent years, arrays of atomic ions in a linear RF trap have proven to be a particularly successful platform for quantum simulation. However, a wide range of quantum models and phenomena have, so

Simulating 2D Effects in Lattice Gauge Theories on a Quantum Computer

Two Variational Quantum Eigensolver (VQE) based protocols are presented for the study of magnetic field effects, and for taking an important first step towards computing the running coupling of QED.

Programmable quantum simulations of spin systems with trapped ions

Author(s): Monroe, C; Campbell, WC; Duan, LM; Gong, ZX; Gorshkov, AV; Hess, PW; Islam, R; Kim, K; Linke, NM; Pagano, G; Richerme, P; Senko, C; Yao, NY | Abstract: Laser-cooled and trapped atomic ions

Localized dynamics following a quantum quench in a non-integrable system: an example on the sawtooth ladder

Motivated by the recent discovery of ergodicity breaking in geometrically frustrated systems, we study the quench dynamics of interacting hardcore bosons on a sawtooth ladder. We identify a set of

Design and construction of an ion trapping apparatus for quantum simulation experiments

The trapped ions platform represents an excellent framework for Quantum information science experiments. Long coherence times, extremely high state initialization and detection fidelity, inherent

Mobility edge in long-range interacting many-body localized systems

As disorder strength increases in disordered many-body systems a new structure of matter, the so-called many-body localized phase, emerges across the whole spectrum. This transition is energy

Holographic Optical Manipulation of Trapped Ions for Quantum Simulation

Trapped ion is one of the leading platforms for quantum simulation experiment due to its long coherence time and high fidelity state initialization, detection, and manipulation. To individually

Programming the full stack of an open-access quantum computer

This work presents a new quantum programming language called ‘Quala’ that enables true full-stack programming of quantum hardware and intends for this language to bridge the gap between circuit-level programming and physical operations on real hardware while maintaining full transparency in each level of the stack.

Reprogrammable and high-precision holographic optical addressing of trapped ions for scalable quantum control

High-precision, individually programmable manipulation of quantum particles is crucial for scaling up quantum information processing (QIP) systems such as laser-cooled trapped-ions. However,

References

SHOWING 1-10 OF 68 REFERENCES

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

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.

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

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

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

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.

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

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

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

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

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.
...