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Large-scale digital quantum simulations require thousands of fundamental entangling gates to construct the simulated dynamics. Despite success in a variety of small-scale simulations, quantum information processing platforms have hitherto…

The work is devoted to obtaining the 1D bipolaron functional by Holstein method for the continuum approximation. We analyzed the effect of electron correlations associated with the direct dependence of the wave function of the electron…

Other Condensed Matter · Physics 2015-02-02 N. I. Kashirina , V. D. Lakhno

We propose a large-scale quantum computer architecture by stabilizing a single large linear ion chain in a very simple trap geometry. By confining ions in an anharmonic linear trap with nearly uniform spacing between ions, we show that…

Quantum Physics · Physics 2009-09-03 G. -D. Lin , S. -L. Zhu , R. Islam , K. Kim , M. -S. Chang , S. Korenblit , C. Monroe , L. -M. Duan

Molecules are the most demanding quantum systems to be simulated by quantum computers because of their complexity and the emergent role of quantum nature. The recent theoretical proposal of Huh et al. (Nature Photon., 9, 615 (2015)) showed…

Quantum Physics · Physics 2018-02-06 Yangchao Shen , Joonsuk Huh , Yao Lu , Junhua Zhang , Kuan Zhang , Shuaining Zhang , Kihwan Kim

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 applied to an ion crystal create…

While quantum simulators promise to explore quantum many-body physics beyond classical computation, their capabilities are limited by the available native interactions in the hardware. On many platforms, accessible Hamiltonians are largely…

Quantum Physics · Physics 2025-12-29 Or Katz , Alexander Schuckert , Tianyi Wang , Eleanor Crane , Alexey V. Gorshkov , Marko Cetina

We show that a large number of ions stored in a Penning trap, and forming a 2D Coulomb crystal, provides an almost ideal system for scalable quantum computation and quantum simulation. In particular, the coupling of the internal states to…

Quantum Physics · Physics 2009-11-13 D. Porras , J. I. Cirac

We describe a quantum simulator for the Hubbard--Holstein model (HHM), comprising two dressed Rydberg atom species held in a monolayer by independent painted potentials, predicting that boson-mediated preformed pairing, and…

Quantum Physics · Physics 2020-09-30 J. P. Hague , P. Kornilovitch , C. MacCormick

We propose an analog quantum simulator that uses ion traps to realize the many-body electron-electron Coulomb interaction of an electron gas. This proposal maps a system that is difficult to solve and control to an experimentally-feasible…

Quantum Physics · Physics 2015-12-21 Da-Wei Luo , P. V. Pyshkin , Michele. Modugno , Mike Guidry , J. Q. You , Lian-Ao Wu

Simulating the dynamics of complex quantum systems is a central application of quantum devices. Here, we propose leveraging the power of measurements to simulate short-time quantum dynamics of physically prepared quantum states in classical…

Quantum Physics · Physics 2025-07-02 Paul K. Faehrmann , Jens Eisert , Maria Kieferova , Richard Kueng

We investigate the feasibility of observing matter-wave interference of a micron-sized charged particle by putting it into a quantum superposition of states with a distinguishable separation. In the proposed method, an atomic ion is…

Quantum Physics · Physics 2022-04-06 Sebastian Leontica , Christopher Foot

We present a digital quantum computation of two-hadron scattering in a $Z_2$ lattice gauge theory in 1+1 dimensions. We prepare well-separated single-particle wave packets with desired momentum-space wavefunctions, and simulate their…

Quantum Physics · Physics 2025-05-28 Zohreh Davoudi , Chung-Chun Hsieh , Saurabh V. Kadam

Building on the recent success of a quantum-classical method for computing transport properties in the Holstein model with a single phonon mode [P. Mitri\'c et al., Phys. Rev. B ${\bf 111}$, L161105 (2025)], we now assess its reliability in…

Strongly Correlated Electrons · Physics 2026-04-08 Darko Tanasković , Maksim Makrushin , Petar Mitrić

The Holstein Hamiltonian was proposed half a century ago; since then, decades of research have come up empty handed in the pursuit of a closed-form solution. An exact solution to the two-site Holstein model is presented in this paper. The…

Strongly Correlated Electrons · Physics 2016-06-22 Amin Tayebi , Vladimir Zelevinsky

The notion of universal quantum computation can be generalized to multi-level qudits, which offer advantages in resource usage and algorithmic efficiencies. Trapped ions, which are pristine and well-controlled quantum systems, offer an…

Atomic Physics · Physics 2020-07-24 Pei Jiang Low , Brendan M. White , Andrew A. Cox , Matthew L. Day , Crystal Senko

We demonstrate Floquet engineering in a basic yet scalable 2D architecture of individually trapped and controlled ions. Local parametric modulations of detuned trapping potentials steer the strength of long-range inter-ion couplings and the…

Polarons are quasiparticles formed as a result of lattice distortions induced by charge carriers. The single-electron Holstein model captures the fundamentals of single polaron physics. We examine the power of the exponential ansatz for the…

Materials Science · Physics 2024-06-03 Junjie Yang , Zhi-Hao Cui , Ankit Mahajan , Huanchen Zhai , David R. Reichman , Garnet Kin-Lic Chan

We develop holographic quantum simulation techniques to prepare correlated electronic ground states in quantum matrix product state (qMPS) form, using far fewer qubits than the number of orbitals represented. Our approach starts with a…

Strongly Correlated Electrons · Physics 2022-09-14 Daoheng Niu , Reza Haghshenas , Yuxuan Zhang , Michael Foss-Feig , Garnet Kin-Lic Chan , Andrew C. Potter

A series of weak-coupling perturbation theories which include the lowest-order vertex corrections are applied to the attractive Holstein model in infinite dimensions. The approximations are chosen to reproduce the iterated perturbation…

Superconductivity · Physics 2009-10-31 J. K. Freericks , V. Zlatic' , Woonki Chung , Mark Jarrell

Chiaverini et al. [Quant. Inf. Comput. 5, 419 (2005)] recently suggested a linear Paul trap geometry for ion trap quantum computation that places all of the electrodes in a plane. Such planar ion traps are compatible with modern…

Quantum Physics · Physics 2009-11-11 C. E. Pearson , D. R. Leibrandt , W. S. Bakr , W. J. Mallard , K. R. Brown , I. L. Chuang