# Universal Digital Quantum Simulation with Trapped Ions

@article{Lanyon2011UniversalDQ, title={Universal Digital Quantum Simulation with Trapped Ions}, author={Ben P. Lanyon and C. Hempel and Daniel Nigg and M. M{\"u}ller and Rene Gerritsma and F. Z{\"a}hringer and Philipp Schindler and Julio T. Barreiro and Markus Rambach and Gerhard Kirchmair and Markus Hennrich and Peter Zoller and Rainer Blatt and Christian F. Roos}, journal={Science}, year={2011}, volume={334}, pages={57 - 61} }

A series of trapped calcium ions was used to simulate the complex dynamics of an interacting spin system. A digital quantum simulator is an envisioned quantum device that can be programmed to efficiently simulate any other local system. We demonstrate and investigate the digital approach to quantum simulation in a system of trapped ions. With sequences of up to 100 gates and 6 qubits, the full time dynamics of a range of spin systems are digitally simulated. Interactions beyond those naturally…

## 427 Citations

Digital-Analog Quantum Simulation of Spin Models in Trapped Ions

- Computer Science, PhysicsScientific reports
- 2016

It is shown that the quantum dynamics of an enhanced variety of spin models could be implemented with substantially less number of gates than a fully digital approach.

Digital quantum simulation of spin models with circuit quantum electrodynamics

- Physics
- 2015

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses…

Experimental digital quantum simulation of temporal–spatial dynamics of interacting fermion system

- Physics
- 2015

Efficient simulations of many-body quantum systems are generally difficult on classical computers due to the exponential resource growth with the system size, while quantum computer has been proved…

Digital quantum simulation of the statistical mechanics of a frustrated magnet.

- PhysicsNature communications
- 2012

A 'digital' quantum simulation of thermal states is reported; a three-spin frustrated magnet was simulated using a nuclear magnetic resonance quantum information processor, and the phase diagram of the system is explored at any simulated temperature and external field.

A Study on Fast Gates for Large-Scale Quantum Simulation with Trapped Ions

- Physics, Computer ScienceScientific reports
- 2017

The performance of a large-scale digital simulator is analyzed, and it is found that fidelity of around 70% is realizable for π-pulse infidelities below 10−5 in traps subject to realistic rates of heating and dephasing.

Experimental Demonstration of Quantum Tunneling in IBM Quantum Computer

- Physics
- 2017

Quantum computers are the promising candidates for simulation of large quantum systems, which is a daunting task to perform in a classical computer. Here we report the experimental realization of…

Fast Gates Allow Large-Scale Quantum Simulation with Trapped Ions

- Physics, Computer Science
- 2016

A method of implementing a crucial multiqubit gate, through a scheme of fast two-qubit gates, able to perform in shorter time and with more precision than existing alternatives, would enable digital quantum simulations to outperform classical computers without error correction.

Simulation of Lennard-Jones Potential on a Quantum Computer

- Physics
- 2021

Simulation of time dynamical physical problems has been a challenge for classical computers due to their time-complexity. To demonstrate the dominance of quantum computers over classical computers in…

Digital quantum simulation of fermionic models with a superconducting circuit

- PhysicsNature communications
- 2015

Digital methods are used to construct the required arbitrary interactions, and perform quantum simulation of up to four fermionic modes with a superconducting quantum circuit, and reach fidelities that are consistent with a simple model of uncorrelated errors.

In situ upgrade of quantum simulators to universal computers

- PhysicsQuantum
- 2018

Strong evidence that the scheme scales polynomially in the number of qubits, for systems of up to 9 qubits with Ising interactions, is presented from numerical simulations carried out in different topologies, suggesting that this in situ approach is a practical way of upgrading quantum simulators to computers.

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