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In this tutorial we review physical implementation of quantum computing using a system of cold trapped ions. We discuss systematically all the aspects for making the implementation possible. Firstly, we go through the loading and confining…

Quantum Physics · Physics 2015-06-26 Marek Sasura , Vladimir Buzek

We aim to explore a more efficient way to simulate few-body dynamics on quantum computers. Instead of mapping the second quantization of the system Hamiltonian to qubit Pauli gates representation via the Jordan-Wigner transform, we propose…

Quantum Physics · Physics 2025-09-09 Peng Guo , Jaime Park , Frank X. Lee

We consider simulating quantum systems on digital quantum computers. We show that the performance of quantum simulation can be improved by simultaneously exploiting commutativity of the target Hamiltonian, sparsity of interactions, and…

Quantum Physics · Physics 2021-07-06 Yuan Su , Hsin-Yuan Huang , Earl T. Campbell

We show that coupling ultracold atoms in optical lattices to quantized modes of an optical cavity leads to quantum phases of matter, which at the same time posses properties of systems with both short- and long-range interactions. This…

Quantum Gases · Physics 2016-07-06 Santiago F. Caballero-Benitez , Gabriel Mazzucchi , Igor B. Mekhov

We develop circuit implementations for digital-level quantum Hamiltonian dynamics simulation algorithms suitable for implementation on a reconfigurable quantum computer, such as trapped ions. Our focus is on the co-design of a problem, its…

Quantum Physics · Physics 2020-04-09 Yunseong Nam , Dmitri Maslov

Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems. However, this difficulty may be overcome by using some controllable quantum system to study another less controllable…

Quantum Physics · Physics 2014-03-14 I. M. Georgescu , S. Ashhab , Franco Nori

We present a design for the experimental integration of ion trapping and superconducting qubit systems as a step towards the realization of a quantum hybrid system. The scheme addresses two key difficulties in realizing such a system; a…

We propose a scheme for performing quantum simulations with atoms in cavities based on a photon detection feedback loop that requires only linear optical elements. Atoms can be stored individually without the need of directly interacting…

Quantum Physics · Physics 2009-11-13 K. G. H. Vollbrecht , J. I. Cirac

The local modes of trapped ions can be used to construct an analog quantum simulator and a digital quantum computer. However, the control of the phonon hopping remains difficult because it proceeds among all the local modes through the…

Quantum Physics · Physics 2025-02-05 Takanori Nishi , Kaoru Yamanouchi , Ryoichi Saito , Takashi Mukaiyama

Quantum computers are expected to help us to achieve accurate simulation of the dynamics of many-body quantum systems. However, the limitations of current NISQ devices prevents us from realising this goal today. Recently an algorithm for…

Quantum Physics · Physics 2021-08-17 Jonathan Wei Zhong Lau , Kishor Bharti , Tobias Haug , Leong Chuan Kwek

The continuous scaling of metal-oxide-semiconductor field-effect transistors (MOSFETs) has led to device geometries where charged carriers are increasingly confined to ever smaller channel cross sections. This development is associated with…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 Leonard Deuschle , Jiang Cao , Alexandros Nikolaos Ziogas , Anders Winka , Alexander Maeder , Nicolas Vetsch , Mathieu Luisier

Strongly-correlated quantum many-body systems exhibits a variety of exotic phases with long-range quantum correlations, such as spin liquids and supersolids. Despite the rapid increase in computational power of modern computers, the…

Quantum Physics · Physics 2013-09-13 Jianming Cai , Alex Retzker , Fedor Jelezko , Martin B. Plenio

We develop a quantum simulator architecture that is suitable for the simulation of $U(1)$ Abelian gauge theories such as quantum electrodynamics. Our approach relies on the ability to control the hopping of a particle through a barrier by…

Quantum Physics · Physics 2017-10-16 A. S. Dehkharghani , E. Rico , N. T. Zinner , A. Negretti

We present the design, fabrication, and experimental implementation of surface ion traps with Y-shaped junctions. The traps are designed to minimize the pseudopotential variations in the junction region at the symmetric intersection of…

Quantum Physics · Physics 2011-08-04 D. L. Moehring , C. Highstrete , D. Stick , K. M. Fortier , R. Haltli , C. Tigges , M. G. Blain

Hybrid quantum systems that unite laser-cooled trapped ions and ultracold quantum gases in a single experimental setup have opened a rapidly advancing field of study, including Quantum chemistry, polaron physics, quantum information…

Atomic Physics · Physics 2023-01-27 Abasalt Bahrami , Matthias Müller , Ferdinand Schmidt-Kaler

We study the electron-electron interaction effects on topological phase transitions by the ab-initio quantum Monte Carlo simulation. We analyze two-dimensional class A topological insulators and three-dimensional Weyl semimetals with the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Arata Yamamoto , Taro Kimura

Linear ion trap chains are a promising platform for quantum computation and simulation. The XY model with long-range interactions can be implemented with a single side-band Molmer-Sorensen scheme, giving interactions that decay as…

Quantum Physics · Physics 2023-06-16 Dylan Lewis , Leonardo Banchi , Yi Hong Teoh , Rajibul Islam , Sougato Bose

While universal quantum computers remain under development, analog quantum simulators offer a powerful alternative for understanding complex systems in condensed matter, chemistry, and high-energy physics. One compelling application is the…

We consider dynamically constrained Monte-Carlo dynamics and show that this leads to the generation of long ranged effective interactions. This allows us to construct a local algorithm for the simulation of charged systems without ever…

Statistical Mechanics · Physics 2009-11-10 L. Levrel , F. Alet , J. Rottler , A. C. Maggs

Ion trap systems are a leading platform for large scale quantum computers. Trapped ion qubit crystals are fully-connected and reconfigurable, owing to their long range Coulomb interaction that can be modulated with external optical forces.…