scholarly journals A graphene edge-mediated quantum gate

2021 ◽  
Vol 119 (6) ◽  
pp. 064001
Author(s):  
Phillip Weinberg ◽  
Adrian E. Feiguin
Keyword(s):  
Quantum Gate ◽  
Graphene Edge

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.

Mo decoration on graphene edge for nitrogen fixation: a computational investigation

2021 ◽  
pp. 150867
Author(s):  
L. Yang ◽  
F.X. Chen ◽  
M. Wu ◽  
E.H. Song ◽  
B.B. Xiao ◽  
...  
Keyword(s):  
Nitrogen Fixation ◽  
Computational Investigation ◽  
Graphene Edge

Field Emission from an Individual Freestanding Graphene Edge

Small ◽  
2012 ◽  
Vol 8 (24) ◽  
pp. 3739-3745 ◽  
Author(s):  
Jeff T. H. Tsai ◽  
Timothy Y. E. Chu ◽  
Jia-Yuan Shiu ◽  
Chu-Shou Yang
Keyword(s):  
Field Emission ◽  
Graphene Edge

Quantum gate operations using atomic qubits through cavity input-output process

2009 ◽  
Vol 87 (5) ◽  
pp. 50005 ◽  
Author(s):  
J. Song ◽  
Y. Xia ◽  
H.-S. Song
Keyword(s):  
Quantum Gate ◽  
Output Process ◽  
Input Output

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 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.

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