scholarly journals Efficient quantum gates and algorithms in an engineered optical lattice

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
A. H. Homid ◽  
M. Abdel-Aty ◽  
M. Qasymeh ◽  
H. Eleuch
Keyword(s):  
Analytical Model ◽  
Open System ◽  
Optical Lattice ◽  
Ultracold Atoms ◽  
Processing Time ◽  
Quantum Algorithms ◽  
Black Box ◽  
Quantum Gate ◽  
Quantum Gates

AbstractIn this work, trapped ultracold atoms are proposed as a platform for efficient quantum gate circuits and algorithms. We also develop and evaluate quantum algorithms, including those for the Simon problem and the black-box string-finding problem. Our analytical model describes an open system with non-Hermitian Hamiltonian. It is shown that our proposed scheme offers better performance (in terms of the number of required gates and the processing time) for realizing the quantum gates and algorithms compared to previously reported approaches.

scholarly journals Preparation of an arbitrary two-qubit quantum gate on two spins with an anisotropic Heisenberg interaction

2018 ◽  
Vol 16 (05) ◽  
pp. 1850044 ◽  
Author(s):  
A. R. Kuzmak
Keyword(s):  
Magnetic Field ◽  
Physical System ◽  
Optical Lattice ◽  
Ultracold Atoms ◽  
Quantum Gate ◽  
Pulsed Magnetic Field ◽  
Second Step ◽  
Step Method ◽  
Arbitrary Quantum

We consider the two-step method [A. R. Kuzmak and V. M. Tkachuk, Phys. Lett. A 378 (2014) 1469] for preparation of an arbitrary quantum gate on two spins with anisotropic Heisenberg interaction. At the first step, the system evolves during some period of time. At the second step, we apply pulsed magnetic field individually to each spin. We obtain the conditions for realization of SWAP, iSWAP, [Formula: see text] and entangled gates. Finally, we consider the implementation of this method on the physical system of ultracold atoms in optical lattice.

scholarly journals DECOMPOSITION OF UNITARY MATRICES AND QUANTUM GATES

2013 ◽  
Vol 11 (01) ◽  
pp. 1350015 ◽  
Author(s):  
CHI-KWONG LI ◽  
REBECCA ROBERTS ◽  
XIAOYAN YIN
Keyword(s):  
General Scheme ◽  
Quantum Gate ◽  
Quantum Gates ◽  
Unitary Matrix ◽  
Additional Structure ◽  
Unitary Matrices ◽  
Decomposition Scheme ◽  
Single Qubit ◽  
Matlab Program

A general scheme is presented to decompose a d-by-d unitary matrix as the product of two-level unitary matrices with additional structure and prescribed determinants. In particular, the decomposition can be done by using two-level matrices in d - 1 classes, where each class is isomorphic to the group of 2 × 2 unitary matrices. The proposed scheme is easy to apply, and useful in treating problems with the additional structural restrictions. A Matlab program is written to implement the scheme, and the result is used to deduce the fact that every quantum gate acting on n-qubit registers can be expressed as no more than 2n-1(2n-1) fully controlled single-qubit gates chosen from 2n-1 classes, where the quantum gates in each class share the same n - 1 control qubits. Moreover, it is shown that one can easily adjust the proposed decomposition scheme to take advantage of additional structure evolving in the process.

scholarly journals Selective Phase Rotation Quantum Gate Entangler

2009 ◽  
Vol 16 (04) ◽  
pp. 407-412
Author(s):  
Hoshang Heydari
Keyword(s):  
Integral Transform ◽  
Quantum Algorithms ◽  
Quantum Systems ◽  
Quantum Gate ◽  
Multipartite Quantum Systems ◽  
Phase Rotation ◽  
Quantum Integral ◽  
Qubit States

We construct a quantum gate entangler for multi-qubit states based on a selective phase rotation transform. In particular, we establish a relation between the quantum integral transform and the quantum gate entangler in terms of universal controlled gates for multi-qubit states. Our result gives an effective way of constructing topological and geometrical quantum gate entanglers for multipartite quantum systems, which could also lead to a construction of geometrical quantum algorithms.

Quantum Gates Using Motional States in an Optical Lattice

2006 ◽  
pp. 227-230
Author(s):  
Eric Charron ◽  
Eite Tiesinga ◽  
Frederick Mies ◽  
Carl Williams
Keyword(s):  
Optical Lattice ◽  
Quantum Gates

Tonks–Girardeau gas of ultracold atoms in an optical lattice

Nature ◽  
2004 ◽  
Vol 429 (6989) ◽  
pp. 277-281 ◽  
Author(s):  
Belén Paredes ◽  
Artur Widera ◽  
Valentin Murg ◽  
Olaf Mandel ◽  
Simon Fölling ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Ultracold Atoms

Significance of Qualitative Factors for a Deeper Understanding of Service Productivity

2013 ◽  
Vol 4 (2) ◽  
pp. 46-59 ◽  
Author(s):  
Sabrina Cocca
Keyword(s):  
Crucial Role ◽  
Processing Time ◽  
Service Management ◽  
Black Box ◽  
Process Efficiency ◽  
Input Output ◽  
Service Productivity ◽  
Qualitative Factors ◽  
High Degree ◽  
Measurable Factors

Analysing and optimising service productivity is a widely discussed task in service management. While directly measurable factors such as processing time or service turnover are frequently used in order to measure the productivity of services, underlying factors that are, in many cases, not (directly) measurable are not considered in-depth. However, these “qualitative” factors influence service productivity to a high degree. The idea behind the approach provided in this article is to open the former “black box” view on productivity (input–output) to a process efficiency-oriented perspective instead and to show which qualitative factors play a crucial role regarding service productivity.

Influence of Laser Phase on Interference Contrast Ratio of Ultracold Atoms in Optical Lattice with Spatial Configuration

2019 ◽  
Vol 39 (3) ◽  
pp. 0314001
Author(s):  
成中豪 Cheng Zhonghao ◽  
李云红 Li Yunhong ◽  
金圣杰 Jin Shengjie ◽  
周小计 Zhou Xiaoji
Keyword(s):  
Optical Lattice ◽  
Ultracold Atoms ◽  
Spatial Configuration ◽  
Contrast Ratio
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