Universal Digital Quantum Simulation with Trapped Ions

By B. Lanyon, Cornelius Hempel, Daniel Nigg, Markus Müller, R. Gerritsma, F. Zähringer, Philipp Schindler, J. Barreiro, M. Rambach, G. Kirchmair and 4 more. Science, 2011

540 citations recorded by the source corpus.

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 present in our simulator are accurately reproduced, and quantitative bounds are provided for the overall simulation quality. Our results demonstrate the key principles of digital quantum simulation and provide evidence that the level of control required for a full-scale device is within reach.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/8d0151f05469ced89bbdcf94c676e28da1941e54

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Citations in the corpus

Realizing the classical XY Hamiltonian in polariton simulators. (2016, unknown): “Defects and vacancies in semiconductors or dielectric materials [1, 2], magnetic impurities embedded in solid helium [3], atoms in optical lattices [4, 5], photons [6], trapped ions [7, 8] and superconducting q-bits [9] are among the candidates for predicting the behaviour of spin glasses, spin-liqu”
Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator (2018, methodology): “Both introduce a loss of fidelity in digital quantum simulations as shown in our earlier work [25] and can be mitigated through technical improvements.”
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer (2016, methodology): “This provides the tools for universal digital quantum simulation [16], where the time evolution of a quantum system is approximated as a stroboscopic sequence of quantum gates [17].”
Random Quantum Circuits (2022, background): “Analog quantum simulators, such as ultracold atom platforms (28, 29, 30), arrays of atoms with long-range interactions which are tuned by exciting into Rydberg states (31), and trapped atomic ions (32, 33) exert control over constituent degrees of freedom by tuning the Hamiltonian governing their in”
Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions (2013, background): “For optical qubits, highfidelity gates of xx type [3, 5] and zz type have been demonstrated [4].”
Quantum Simulation (2013, background): “trapped ions have resulted in the most advanced implementations of DQS to date (Barreiro et al., 2011; Lanyon et al., 2011).”