ACCELERATING THE REVIVAL OF A TRAPPED-ION SYSTEM

2008 ◽  
Vol 22 (07) ◽  
pp. 467-474 ◽  
Author(s):  
L. SHE ◽  
J. M. LI ◽  
K. L. GAO
Keyword(s):  
Laser Field ◽  
Ion Trap ◽  
Rabi Oscillation ◽  
Laser Frequency ◽  
Resonant Interaction ◽  
Trapped Ions ◽  
Trapped Ion ◽  
Trap System

We propose a method to accelerate the revival of ion Rabi oscillation in a trapped ion system. Suitable manipulation of the frequency of the driven laser field permits us to switch from Jaynes–Cummings to off-resonant interaction. The combination of Jaynes–Cummings model and the off-resonant model induces some interesting characteristics of the ion-trap system, particularly the accelerated revival of the population of trapped ions. The amplitude of this revival is sensitive to the change of the laser frequency.

On the transport of atomic ions in linear and multidimensional ion trap arrays

2008 ◽  
Vol 8 (6&7) ◽  
pp. 501-578
Author(s):  
D. Hucul ◽  
M. Yeo ◽  
W.K. Hensinger ◽  
J. Rabchuk ◽  
S. Olmschenk ◽  
...  
Keyword(s):  
Electric Fields ◽  
Ion Trap ◽  
Quantum Computer ◽  
Scale Up ◽  
Trapped Ions ◽  
Current Effort ◽  
Ion Motion ◽  
Atomic Ions ◽  
Trapped Ion ◽  
Transport Of Ions

Trapped atomic ions have become one of the most promising architectures for a quantum computer, and current effort is now devoted to the transport of trapped ions through complex segmented ion trap structures in order to scale up to much larger numbers of trapped ion qubits. This paper covers several important issues relevant to ion transport in any type of complex multidimensional rf (Paul) ion trap array. We develop a general theoretical framework for the application of time-dependent electric fields to shuttle laser-cooled ions along any desired trajectory, and describe a method for determining the effect of arbitrary shuttling schedules on the quantum state of trapped ion motion. In addition to the general case of linear shuttling over short distances, we introduce issues particular to the shuttling through multidimensional junctions, which are required for the arbitrary control of the positions of large arrays of trapped ions. This includes the transport of ions around a corner, through a cross or T junction, and the swapping of positions of multiple ions in a laser-cooled crystal. Where possible, we make connections to recent experimental results in a multidimensional T junction trap, where arbitrary 2-dimensional transport was realized.

The flattening phase transition in systems of trapped ions

2009 ◽  
Vol 87 (10) ◽  
pp. 1425-1435 ◽  
Author(s):  
Taunia L. L. Closson ◽  
Marc R. Roussel
Keyword(s):  
Phase Transition ◽  
Critical Exponent ◽  
Order Parameter ◽  
Ion Trap ◽  
Anisotropy Parameter ◽  
Critical Value ◽  
Trapped Ions ◽  
Dimensional Structure ◽  
Flattening Process ◽  
Second Order Phase Transition

When the anisotropy of a harmonic ion trap is increased, the ions eventually collapse into a two-dimensional structure consisting of concentric shells of ions. This collapse generally behaves like a second-order phase transition. A graph of the critical value of the anisotropy parameter vs. the number of ions displays substructure closely related to the inner-shell configurations of the clusters. The critical exponent for the order parameter of this phase transition (maximum extent in the z direction) was found computationally to have the value β = 1/2. A second critical exponent related to displacements perpendicular to the z axis was found to have the value δ = 1. Using these estimates of the critical exponents, we derive an equation that relates the amplitudes of the displacements of the ions parallel to the x–y plane to the amplitudes along the z axis during the flattening process.

scholarly journals Quantum gate teleportation between separated qubits in a trapped-ion processor

Science ◽  
2019 ◽  
Vol 364 (6443) ◽  
pp. 875-878 ◽  
Author(s):  
Yong Wan ◽  
Daniel Kienzler ◽  
Stephen D. Erickson ◽  
Karl H. Mayer ◽  
Ting Rei Tan ◽  
...  
Keyword(s):  
Confidence Level ◽  
Large Scale ◽  
Ion Trap ◽  
Quantum Gate ◽  
Quantum Computers ◽  
Mixed Species ◽  
Cnot Gate ◽  
Classical Communication ◽  
Trapped Ion ◽  
Single Qubit

Large-scale quantum computers will require quantum gate operations between widely separated qubits. A method for implementing such operations, known as quantum gate teleportation (QGT), requires only local operations, classical communication, and shared entanglement. We demonstrate QGT in a scalable architecture by deterministically teleporting a controlled-NOT (CNOT) gate between two qubits in spatially separated locations in an ion trap. The entanglement fidelity of our teleported CNOT is in the interval (0.845, 0.872) at the 95% confidence level. The implementation combines ion shuttling with individually addressed single-qubit rotations and detections, same- and mixed-species two-qubit gates, and real-time conditional operations, thereby demonstrating essential tools for scaling trapped-ion quantum computers combined in a single device.

Entropy squeezing, nonlocal correlation and purification properties of two-trap ion interaction with laser field in the presence of Stark shift effect

2019 ◽  
Vol 33 (12) ◽  
pp. 1950118
Author(s):  
Yas Al-Hadeethi ◽  
Bahaaudin M. Raffah ◽  
Nawal Almalky ◽  
E. M. Khalil
Keyword(s):  
Laser Field ◽  
Entanglement Entropy ◽  
Dynamical Behavior ◽  
Stark Shift ◽  
Entanglement Sudden Death ◽  
Entropy Squeezing ◽  
Trapped Ion ◽  
Nonlocal Correlation ◽  
Initial States ◽  
Shift Effect

In this paper, the interaction between two trap ions with laser beam and electromagnetic field containing the Stark shift terms has been investigated. The analytical solution for the differential equations which describes the system Hamiltonian is obtained. The dynamical behavior for the entanglement, entropy squeezing and purity of system are discussed. Some important physical characteristics such as revivals and collapses for the occupation of the trapped ion, entanglement sudden death (birth) and single trapped ion entropy squeezing are discussed. In addition, the influence of Lamb–Dicke parameter and the initial states on the evolution of the entanglement, linear entropy are studied. Finally, some remarks about the obtained results are given briefly.

scholarly journals Parametric excitations of trapped ions in a linear rf ion trap

2002 ◽  
Vol 66 (6) ◽  
Author(s):  
X. Zhao ◽  
V. L. Ryjkov ◽  
H. A. Schuessler
Keyword(s):  
Ion Trap ◽  
Trapped Ions
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