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Algorithms for quantum information processing are usually decomposed into sequences of quantum gate operations, most often realized with single- and two- qubit gates[1]. While such operations constitute a universal set for quantum…

Quantum Physics · Physics 2009-11-13 T. Monz , K. Kim , W. Hänsel , M. Riebe , A. Villar , P. Schindler , M. Chwalla , M. Hennrich , R. Blatt

Fast entangling gate operations are a fundamental prerequisite for quantum simulation and computation. We propose an entangling scheme for arbitrary pairs of ions in a linear crystal, harnessing the high electric polarizability of highly…

Quantum Physics · Physics 2025-05-01 Han Bao , Jonas Vogel , Ulrich Poschinger , Ferdinand Schmidt-Kaler

An approach is proposed to implement the universal quantum gates between the ions confined individually in the separated traps. Instead of the typical adiabatic operations, performed for manipulating the ion-ion coupling, here the…

Quantum Physics · Physics 2012-11-28 Miao Zhang , L. F. Wei

The two-qubit interaction Hamiltonian of a given physical implementation determines whether or not a two-qubit gate such as the CNOT gate can be realized easily. It can be shown that, e.g., with the XY interaction more than one two-qubit…

Quantum Physics · Physics 2009-11-07 Norbert Schuch , Jens Siewert

We propose a simplified mathematical construction of the quantum Fourier transform which is suited for systems described by Ising-type Hamiltonians. By contrast to the standard Cooley-Tuckey scheme, which prescribes sequences of CPHASE…

Quantum Physics · Physics 2015-09-08 Svetoslav S. Ivanov , Michael Johanning , Christof Wunderlich

We present an entangling gate scheme for trapped-ion chains that achieves high-fidelity operations with excited motional states despite multiple error sources. Our approach incorporates all relevant motional modes and exhibits enhanced…

Quantum Physics · Physics 2025-11-05 Modesto Orozco-Ruiz , Wasim Rehman , Florian Mintert

In two-qubit gate simulations an entangling gate is used several times together with single qubit gates to simulate another two-qubit gate. We show how a two-qubit gate's simulation power is related to the simulation power of its mirror…

Quantum Physics · Physics 2016-09-08 Ming-Yong Ye , Yong-Sheng Zhang , Guang-Can Guo

We study ultracold collisions of ions with neutral atoms in traps. Recently, ultracold atom-ion systems are becoming available in experimental setups, where their quantum states can be coherently controlled. This allows for an…

Quantum Physics · Physics 2010-02-15 Hauke Doerk-Bendig , Zbigniew Idziaszek , Tommaso Calarco

We propose a scheme to perform basic gates of quantum computing and prepare entangled states in a system with cold trapped ions located in a single mode optical cavity. General quantum computing can be made with both motional state of the…

Quantum Physics · Physics 2009-11-07 Mang Feng , Xiaoguang Wang

We consider a system of particles in an array of microscopic traps, coupled to each other via electrostatic interaction, and pushed by an external state-dependent force. We show how to implement a two-qubit quantum gate between two such…

Quantum Physics · Physics 2009-11-06 T. Calarco , J. I. Cirac , P. Zoller

We propose a scheme for the implementation of quantum gates which is based on the qubit encoding in antiferromagnetic molecular rings. We show that a proper engineering of the intercluster link would result in an effective coupling that…

Other Condensed Matter · Physics 2009-11-10 F. Troiani , M. Affronte , S. Carretta , P. Santini , G. Amoretti

A crucial building block for quantum information processing with trapped ions is a controlled-NOT quantum gate. In this paper, two different sequences of laser pulses implementing such a gate operation are analyzed using quantum process…

Quantum Physics · Physics 2009-01-15 M. Riebe , K. Kim , P. Schindler , T. Monz , P. O. Schmidt , T. K. Koerber , W. Haensel , H. Haeffner , C. F. Roos , R. Blatt

It is shown that a two-qubit phase gate and SWAP operation between ground states of cold trapped ions can be realised in one step by simultaneously applying two laser fields. Cooling during gate operations is possible without perturbing the…

Quantum Physics · Physics 2009-11-07 Almut Beige

A system of trapped ions under the action of off--resonant standing--waves can be used to simulate a variety of quantum spin models. In this work, we describe theoretically quantum phases that can be observed in the simplest realization of…

Quantum Physics · Physics 2009-11-11 X. -L. Deng , D. Porras , J. I. Cirac

A quantum algorithm can be decomposed into a sequence consisting of single qubit and 2-qubit entangling gates. To optimize the decomposition and achieve more efficient construction of the quantum circuit, we can replace multiple 2-qubit…

The implementation of holonomic quantum computation is meaningful. We can effectively resist local and collective noise in the process of physical implementation by using the advantage of non-Abelian geometric phase. In this paper, we set…

Quantum Physics · Physics 2025-05-06 Yong-Sen Chen , Jing Gao , Li-Na Ji

There are several known schemes for entangling trapped ion quantum bits for large-scale quantum computation. Most are based on an interaction between the ions and external optical fields, coupling internal qubit states of trapped-ions to…

Quantum Physics · Physics 2016-09-08 P J Lee , K-A Brickman , L Deslauriers , P C Haljan , L-M Duan , C Monroe

We theoretically investigate the use of fast pulsed two-qubit gates for trapped ion quantum computing in a two-dimensional microtrap architecture. In one dimension, such fast gates are optimal when employed between nearest neighbours, and…

Quantum Physics · Physics 2020-07-29 Zain Mehdi , Alexander K. Ratcliffe , Joseph J. Hope

The native gate set is fundamental to the performance of quantum devices, as it governs the accuracy of basic quantum operations and dictates the complexity of implementing quantum algorithms. Traditional approaches to extending gate sets…

We propose a method for implementation of an universal set of one- and two-quantum-bit gates for quantum computation in the system of two coupled electrons with constant non-diagonal exchange interaction. Suppression of the exchange…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 A. V. Nenashev , A. F. Zinovieva , A. V. Dvurechenskii , A. Yu. Gornov , T. S. Zarodnyuk