scholarly journals Generation of elementary gates and Bell’s states using controlled adiabatic evolutions

2019 ◽  
Vol 17 (03) ◽  
pp. 1950020
Author(s):  
Abderrahim Benmachiche ◽  
Ali Sellami ◽  
Sherzod Turaev ◽  
Derradji Bahloul ◽  
Azeddine Messikh ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Open Systems ◽  
Circuit Model ◽  
Quantum Gates ◽  
Single Quantum ◽  
New Model ◽  
Adiabatic Quantum Computation ◽  
Usual Quantum

Fundamental quantum gates can be implemented effectively using adiabatic quantum computation or circuit model. Recently, Hen combined the two approaches to introduce a new model called controlled adiabatic evolutions [I. Hen, Phys. Rev. A, 91(2) (2015) 022309]. This model was specifically designed to implement one and two-qubit controlled gates. Later, Santos extended Hen’s work to implement [Formula: see text]-qubit controlled gates [A. C. Santos and M. S. Sarandy, Sci. Rep., 5 (2015) 15775]. In this paper, we discuss the implementation of each of the usual quantum gates, as well as demonstrate the possibility of preparing Bell’s states using the controlled adiabatic evolutions approach. We conclude by presenting the fidelity results of implementing single quantum gates and Bell’s states in open systems.

scholarly journals Realization of a classical counterpart of a scalable design for adiabatic quantum computation

2007 ◽  
Vol 90 (2) ◽  
pp. 022501 ◽  
Author(s):  
V. Zakosarenko ◽  
N. Bondarenko ◽  
S. H. W. van der Ploeg ◽  
A. Izmalkov ◽  
S. Linzen ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Classical Counterpart ◽  
Adiabatic Quantum Computation ◽  
Scalable Design

scholarly journals Universal holonomic single quantum gates over a geometric spin with phase-modulated polarized light

2018 ◽  
Vol 43 (10) ◽  
pp. 2380 ◽  
Author(s):  
Naoki Ishida ◽  
Takaaki Nakamura ◽  
Touta Tanaka ◽  
Shota Mishima ◽  
Hiroki Kano ◽  
...  
Keyword(s):  
Polarized Light ◽  
Quantum Gates ◽  
Single Quantum

scholarly journals STATE TRANSFER INSTEAD OF TELEPORTATION IN MEASUREMENT-BASED QUANTUM COMPUTATION

2005 ◽  
Vol 03 (01) ◽  
pp. 219-223 ◽  
Author(s):  
SIMON PERDRIX
Keyword(s):  
Quantum Computation ◽  
Quantum Measurement ◽  
Unitary Transformation ◽  
New Model ◽  
Universal Family ◽  
State Transfer ◽  
Transfer State

Quantum measurement is universal for quantum computation. The model of quantum computation introduced by Nielsen and further developed by Leung relies on a generalized form of teleportation. In order to simulate any n-qubit unitary transformation with this model, four auxiliary qubits are required. Moreover Leung exhibited a universal family of observables composed of one one-qubit measurement and four two-qubit measurements. We introduce a model of quantum computation via measurements only, relying on state transfer: state transfer only retains the part of teleportation which is necessary for computation. In order to simulate any n-qubit unitary transformation with this new model, only one auxiliary qubit is required. Moreover we exhibit a universal family of observables composed of three one-qubit measurements and only one two-qubit measurement. This model improves those of Nielsen and Leung in terms of both the number of auxiliary qubits and the number of two-qubit measurements required for quantum universality. In both cases, the minimal amounts of necessary resources are now reached: one auxiliary qubit (because measurement is destructive) and one two-qubit measurement (for creating entanglement).

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