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We show that the physical system consisting of trapped ions interacting with lasers may undergo a rich variety of quantum phase transitions. By changing the laser intensities and polarizations the dynamics of the internal states of the ions…

Quantum Physics · Physics 2009-11-10 D. Porras , J. I. Cirac

Trapped-ion quantum simulators, in analog and digital modes, are considered a primary candidate to achieve quantum advantage in quantum simulation and quantum computation. The underlying controlled ion-laser interactions induce all-to-all…

Quantum Physics · Physics 2022-05-16 Bárbara Andrade , Zohreh Davoudi , Tobias Graß , Mohammad Hafezi , Guido Pagano , Alireza Seif

We consider multi-qubit systems and relate quantitatively the problems of generating cluster states with high value of concurrence of assistance, and that of generating states with maximal bipartite entanglement. We prove an upper bound for…

Quantum Physics · Physics 2009-11-11 Matyas Koniorczyk , Peter Rapcan , Vladimir Buzek

We report on the experimental investigation of an individual pseudomolecule using trapped ions with adjustable magnetically induced J-type coupling between spin states. Resonances of individual spins are well separated and are addressed…

Quantum Physics · Physics 2012-08-13 A. Khromova , Ch. Piltz , B. Scharfenberger , T. F. Gloger , M. Johanning , A. F. Varón , Ch. Wunderlich

Quantum simulation has emerged as a powerful framework for investigating complex many - body phenomena. A key requirement for emulating these dynamics is the realization of fully controllable quantum systems enabling various spin…

Trapped ions have emerged as one of the highest quality platforms for the quantum simulation of interacting spin models of interest to various fields of physics. In such simulators, two effective spins can be made to interact with arbitrary…

Quantum Physics · Physics 2019-10-08 Yi Hong Teoh , Marina Drygala , Roger G. Melko , Rajibul Islam

We propose a method to simulate spin models in trapped ions using a digital-analog approach, consisting in a suitable gate decomposition in terms of analog blocks and digital steps. In this way, we show that the quantum dynamics of an…

Quantum Physics · Physics 2016-08-01 I. Arrazola , J. S. Pedernales , L. Lamata , E. Solano

Trapped atomic ion crystals are a leading platform for quantum simulations of spin systems, with programmable and long-range spin-spin interactions mediated by excitations of phonons in the crystal. We describe a complementary approach for…

Quantum Physics · Physics 2023-08-02 Or Katz , Christopher Monroe

We investigate theoretically systems of ions in segmented linear Paul traps for the quantum simulation of quantum spin models with tunable interactions. The scheme is entirely general and can be applied to the realization of arbitrary…

Quantum Physics · Physics 2014-04-16 S. Zippilli , M. Johanning , S. M. Giampaolo , Ch. Wunderlich , F. Illuminati

Quantum simulation - the use of one quantum system to simulate a less controllable one - may provide an understanding of the many quantum systems which cannot be modeled using classical computers. Impressive progress on control and…

The one-dimensional Ising model with its connections to several physical concepts plays a vital role in comprehension of several principles, phenomena and numerical methods. The Hamiltonian of a coupled one-dimensional dissipative spin…

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

Quantum Physics · Physics 2011-12-15 E. E. Edwards , S. Korenblit , K. Kim , R. Islam , M. -S. Chang , J. K. Freericks , G. -D. Lin , L. -M. Duan , C. Monroe

We present a system for the simulation of Heisenberg models with spins $s=\frac{1}{2}$ and $s=1$ with a linear crystal of trapped ions. We show that the laser-ion interaction induces a Jaynes-Cummings-Hubbard interaction between the atomic…

Quantum Physics · Physics 2015-02-11 Peter A. Ivanov , Naoum I. Karchev , Nikolay V. Vitanov , Dimitris G. Angelakis

Quantum simulation of interacting many-body spin systems is routinely performed with cold trapped ions, and systems with hundreds of spins have been studied in one and two dimensions. In the most common realizations of these platforms, spin…

Quantum Physics · Physics 2026-01-06 Wilson S. Martins , Markus Hennrich , Ferdinand Schmidt-Kaler , Igor Lesanovsky

Trapped ions are considered one of the best candidates to perform quantum information processing. By interacting them with laser beams they are, somehow, easy to manipulate, which makes them an excellent choice for the production of…

Quantum processors use the native interactions between effective spins to simulate Hamiltonians or execute quantum gates. In most processors, the native interactions are pairwise, limiting the efficiency of controlling entanglement between…

Quantum Physics · Physics 2023-11-06 Or Katz , Lei Feng , Andrew Risinger , Christopher Monroe , Marko Cetina

In this work, we proposed and experimentally demonstrated a photonic simulator for XY models, which is a typical kind of classical spin models. By encoding the XY spins on the phase term of the input light field, the corresponding XY…

Quantum simulation is a promising near term application for mesoscale quantum information processors, with the potential to solve computationally intractable problems at the scale of just a few dozen interacting quantum systems. Recent…

Quantum Physics · Physics 2014-08-14 David L. Hayes , Steven T. Flammia , Michael J. Biercuk

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

Solving intractable mathematical problems in simulators composed of atoms, ions, photons or electrons has recently emerged as a subject of intense interest. Here we extend this concept to phonons that are localised in spectrally pure…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 I. Mahboob , H. Yamaguchi