Programmable quantum simulations of spin systems with trapped ions

By Christopher R. Monroe, W. Campbell, Luming Duan, Zhexuan Gong, Alexey V. Gorshkov, P. Hess, Rajibul Islam, Kihwan Kim, Norbert Matthias Linke, G. Pagano and 3 more. Reviews of Modern Physics, 2019

679 citations recorded by the source corpus.

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 form an ideal standard for the simulation of interacting quantum spin models. Effective spins are represented by appropriate internal energy levels within each ion, and the spins can be measured with near-perfect efficiency using state-dependent fluorescence techniques. By applying optical fields that exert optical dipole forces on the ions, their Coulomb interaction can be modulated to produce long-range and tunable spin-spin interactions that can be reconfigured by shaping the spectrum and pattern of the laser fields in a prototypical example of a quantum simulator. Here the theoretical mapping of atomic ions to interacting spin systems, the preparation of complex equilibrium states, and the study of dynamical processes in these many-body interacting quantum systems are reviewed, and the use of this platform for optimization and other tasks is discussed. The use of such quantum simulators for studying spin models may inform our understanding of exotic quantum materials and shed light on the behavior of interacting quantum systems that cannot be modeled with conventional computers.

Subfields: Artificial Intelligence

View Paper: https://www.semanticscholar.org/paper/0208c4a44746a2890e978cdf2d71a1535deceb17

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Citations in the corpus

Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms (2021, methodology): “Experimental platforms that have been used for quantum simulation so far include ions [2,3], molecules [4,5], atoms [6,7], and quantum circuits [8,9].”
Quantum Many-Body Scars: A Quasiparticle Perspective (2022, background): “, the advent of analog and digital quantum simulation platforms with low levels of environmental decoherence (30, 31, 32, 33)—one important question has been the connection between microscopic quantum theory and macroscopic thermodynamics (34, 35).”
Harnessing the Power of the Second Quantum Revolution (2020, background): “In addition, many workers have pursued quantum simulation of many-body physics as a near-term goal [76–83], both for studies of equilibrium phases of strongly correlated matter and for studies of nonequilibrium dynamics.”
Practical quantum advantage in quantum simulation (2022, background): “This can also be combined for spin systems with operations from digital quantum computing, leading to a range of possible programmable quantum simulators 2,21,26,39 , which combine analogue elements with programmability.”