scholarly journals Quantum Algorithms

2021 ◽  
pp. 81-92
Author(s):  
Ciaran Hughes ◽  
Joshua Isaacson ◽  
Anastasia Perry ◽  
Ranbel F. Sun ◽  
Jessica Turner
Keyword(s):  
Quantum Logic ◽  
Quantum Algorithms ◽  
Logic Gates ◽  
Quantum Mechanical ◽  
Quantum Computers ◽  
Quantum Logic Gates ◽  
Link Type ◽  
Quantum Computations ◽  
Secure Channels ◽  
Mechanical Phenomena

AbstractWe have come a long way from Chap. 10.1007/978-3-030-61601-4_1 To recap on what we have learnt, we have understood important quantum mechanical phenomena such as superposition and measurement (through the Stern-Gerlach and Mach-Zehnder experiments). We have also learnt that while quantum computers can in principle break classical encryption protocols, they can also be used to make new secure channels of communication. Furthermore, we have applied quantum logic gates to qubits to perform quantum computations. With entanglement, we teleported the information in an unknown qubit to another qubit. This is quite a substantial achievement.

Quantum Computing I

2020 ◽  
pp. 229-244
Author(s):  
M. Suhail Zubairy
Keyword(s):  
Quantum Logic ◽  
Quantum Teleportation ◽  
Quantum Computer ◽  
Logic Gates ◽  
Building Blocks ◽  
Quantum Mechanical ◽  
Quantum Dense Coding ◽  
Quantum Logic Gates ◽  
Probabilistic Nature ◽  
Conventional Computer

A remarkable application of quantum mechanical concepts of coherent superposition and quantum entanglement is a quantum computer which can solve certain problems at speeds unbelievably faster than the conventional computer. In this chapter, the basic principles and the conditions for the implementation of the quantum computer are introduced and the limitations imposed by the probabilistic nature of quantum mechanics and the inevitable decoherence phenomenon are discussed. Next the basic building blocks, the quantum logic gates, are introduced. These include the Hadamard, the CNOT, and the quantum phase gates. After these preliminaries, the implementation of the Deutsch algorithm, quantum teleportation, and quantum dense coding in terms of the quantum logic gates are discussed. It is also shown how the Bell states can be produced and measured using a sequence of quantum logic gates.

scholarly journals Implementing quantum logic gates with gradient ascent pulse engineering: principles and practicalities

2012 ◽  
Vol 370 (1976) ◽  
pp. 4636-4650 ◽  
Author(s):  
Benjamin Rowland ◽  
Jonathan A. Jones
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Magnetic Resonance ◽  
Quantum Logic ◽  
Logic Gates ◽  
Quantum Computers ◽  
Quantum Logic Gates ◽  
The Core ◽  
Experimental Systems ◽  
Gradient Ascent ◽  
Nuclear Magnetic Resonance Quantum

We briefly describe the use of gradient ascent pulse engineering (GRAPE) pulses to implement quantum logic gates in nuclear magnetic resonance quantum computers, and discuss a range of simple extensions to the core technique. We then consider a range of difficulties that can arise in practical implementations of GRAPE sequences, reflecting non-idealities in the experimental systems used.

Quantum logic gates by adiabatic passage

2006 ◽  
Vol 135 (1) ◽  
pp. 209-210 ◽  
Author(s):  
X. Lacour ◽  
N. Sangouard ◽  
S. Guérin ◽  
H. R. Jauslin
Keyword(s):  
Quantum Logic ◽  
Logic Gates ◽  
Adiabatic Passage ◽  
Quantum Logic Gates

scholarly journals Supporting Information "Quantum logic gates based on DNAtronics, RNAtronics and Proteintronics"

2021 ◽  
Author(s):  
Sheh-Yi Sheu ◽  
Hua-Yi Hsu ◽  
Dah-Yen Yang
Keyword(s):  
Quantum Logic ◽  
Potential Energy Surfaces ◽  
Logic Gates ◽  
Vacuum System ◽  
Transmission Spectra ◽  
Superposition State ◽  
Quantum Logic Gates ◽  
Energy Surfaces ◽  
Double Well Potential ◽  
Truth Tables

This Supporting Information includes the extended description of the superposition state of the asymmetric double-well system in vacuum system and in solution, truth tables for the residue pairs and their corresponding quantum logic gates, and figures for the double well potential energy surfaces and transmission spectra of the residue pairs. Corresponding Authors Email: [email protected] and [email protected]

scholarly journals QUANTUM LOGIC GATES USING q-DEFORMED OSCILLATORS

2006 ◽  
Vol 04 (02) ◽  
pp. 297-305 ◽  
Author(s):  
DEBASHIS GANGOPADHYAY ◽  
MAHENDRA NATH SINHA ROY
Keyword(s):  
Angular Momentum ◽  
Phase Shift ◽  
Quantum Logic ◽  
Logic Gates ◽  
Quantum Logic Gates ◽  
Single Qubit ◽  
Schwinger Mechanism

We show that quantum logic gates, viz. the single qubit Hadamard and Phase Shift gates, can also be realized using q-deformed angular momentum states constructed via the Jordan–Schwinger mechanism with two q-deformed oscillators.

Quantum logic gates generated by SC-charge qubits coupled to a resonator

2012 ◽  
Vol 45 (48) ◽  
pp. 485305 ◽  
Author(s):  
A-S F Obada ◽  
H A Hessian ◽  
A-B A Mohamed ◽  
Ali H Homid
Keyword(s):  
Quantum Logic ◽  
Logic Gates ◽  
Quantum Logic Gates ◽  
Charge Qubits
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