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Using the Born-Oppenheimer approximation, we derive an effective Hamiltonian for an optomechanical system that leads to a nonlinear Kerr effect in the system's vacuum. The oscillating mirror at one edge of the optomechanical system induces…

Quantum Physics · Physics 2010-01-04 Z. R. Gong , H. Ian , Yu-xi Liu , C. P. Sun , Franco Nori

We propose a deterministic, measurement-free implementation of a cubic phase gate for continuous-variable quantum information processing. In our scheme, the applications of displacement and squeezing operations allow us to engineer the…

The weak nonlinear Kerr interaction between single photons and intense laser fields has been recently proposed as a basis for distributed optics-based solutions to few-qubit applications in quantum communication and computation. Here, we…

Quantum Physics · Physics 2009-11-13 Jeffrey H. Shapiro , Mohsen Razavi

We analyze the efficiency of quantum simulations of fermionic and bosonic models in trapped ions. In particular, we study the optimal time of entangling gates and the required number of total elementary gates. Furthermore, we exemplify…

Quantum Physics · Physics 2014-06-19 L. Lamata , A. Mezzacapo , J. Casanova , E. Solano

A quantum simulator is a well controlled quantum system that can simulate the behavior of another quantum system which may require exponentially large classical computing resources to understand otherwise. In the 1980s, Feynman proposed the…

Entangling gates are an essential component of quantum computers. However, generating high-fidelity gates, in a scalable manner, remains a major challenge in all quantum information processing platforms. Accordingly, improving the fidelity…

Quantum Physics · Physics 2023-02-01 Yotam Shapira , Sapir Cohen , Nitzan Akerman , Ady Stern , Roee Ozeri

Control over physical systems at the quantum level is a goal shared by scientists in fields as diverse as metrology, information processing, simulation and chemistry. For trapped atomic ions, the quantized motional and internal degrees of…

Quantum Physics · Physics 2015-03-19 C. Ospelkaus , U. Warring , Y. Colombe , K. R. Brown , J. M. Amini , D. Leibfried , D. J. Wineland

Essentially all known quantum gates rely on a weak-coupling approximation resulting in linear dynamics. With the explicit example of trapped ions, we show how high-fidelity quantum gates can be achieved outside such an approximation, and we…

Quantum Physics · Physics 2021-05-19 Mahdi Sameti , Jake Lishman , Florian Mintert

We propose a scheme to implement high-fidelity conditional phase gates on pair of trapped ions immersed in a two-dimensional Coulomb crystal, using interaction mediated by all axial modes without side-band addressing. We show through…

Quantum Physics · Physics 2015-05-13 Ping Zou , Jian Xu , Wei song , Shi-Liang Zhu

We show how an experimentally realized set of operations on a single trapped ion is sufficient to simulate a wide class of Hamiltonians of a spin-1/2 particle in an external potential. This system is also able to simulate other physical…

We present two efficient methods for implementing the Fredkin gate with atoms separately trapped in an array of three high-$Q$ coupled cavities. The first proposal is based on the resonant dynamics, which leads to a fast resonant…

Quantum Physics · Physics 2015-06-17 Xiao-Qiang Shao , Tai-Yu Zheng , Xun-Li Feng , C. H. Oh , Shou Zhang

We experimentally investigate nonlinear couplings between vibrational modes of strings of cold ions stored in linear ion traps. The nonlinearity is caused by the ions' Coulomb interaction and gives rise to a Kerr-type interaction…

Quantum Physics · Physics 2008-04-30 C. F. Roos , T. Monz , K. Kim , M. Riebe , H. Haeffner , D. F. V. James , R. Blatt

Josephson junctions have been shown to be a promising solid-state system for implementation of quantum computation. The significant two-qubit gates are generally realized by the capacitive coupling between the nearest neighbour qubits. We…

Quantum Physics · Physics 2009-11-10 Shi-Liang Zhu , Z. D. Wang , Kaiyu Yang

Trapped, laser-cooled atoms and ions are quantum systems which can be experimentally controlled with an as yet unmatched degree of precision. Due to the control of the motion and the internal degrees of freedom, these quantum systems can be…

Ultracold trapped atomic ions excited into highly energetic Rydberg states constitute a promising platform for scalable quantum information processing. Elementary building blocks for such tasks are high-fidelity and sufficiently fast…

We demonstrate that a triangular optical lattice of two atomic species, bosonic or fermionic, can be employed to generate a variety of novel spin-1/2 Hamiltonians. These include effective three-spin interactions resulting from the…

Quantum Physics · Physics 2009-11-10 Jiannis K. Pachos , Enrique Rico

Qudits, or multi-level quantum information carriers, present a promising path for scaling quantum computers. However, their use introduces increased complexity in quantum logic, necessitating careful control of relative phases between…

We investigate whether a two-qubit quantum gate can be implemented in a scattering process involving a flying and a static qubit. To this end, we focus on a paradigmatic setup made out of a mobile particle and a quantum impurity, whose…

Quantum Physics · Physics 2013-05-29 G. Cordourier-Maruri , F. Ciccarello , Y. Omar , M. Zarcone , R. de Coss , S. Bose

We consider a model of two harmonically driven damped harmonic oscillators that are coupled linearly and with a cross-Kerr coupling. We show how to distinguish this combination of coupling types from the case where a coupling of…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Andrii M Sokolov , Tero T. Heikkilä

We present a theoretical analysis of the implementation of an entangling quantum gate between two trapped Ca$^+$ ions which is based on the dipolar interaction among ionic Rydberg states. In trapped ions the Rydberg excitation dynamics is…

Quantum Physics · Physics 2014-08-06 Weibin Li , Igor Lesanovsky