scholarly journals Approximate Quantum Adders with Genetic Algorithms: An IBM Quantum Experience

2017 ◽  
Vol 4 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Rui Li ◽  
Unai Alvarez-Rodriguez ◽  
Lucas Lamata ◽  
Enrique Solano
Keyword(s):  
Genetic Algorithms ◽  
Quantum Mechanics ◽  
Quantum Computing ◽  
Quantum Information ◽  
Novel Applications ◽  
Ibm Quantum Experience ◽  
The Way

AbstractIt has been proven that quantum adders are forbidden by the laws of quantum mechanics. We analyze theoretical proposals for the implementation of approximate quantum adders and optimize them by means of genetic algorithms, improving previous protocols in terms of efficiency and fidelity. Furthermore, we experimentally realize a suitable approximate quantum adder with the cloud quantum computing facilities provided by IBM Quantum Experience. The development of approximate quantum adders enhances the toolbox of quantum information protocols, paving the way for novel applications in quantum technologies.

scholarly journals A Quantum Future: Preparing Canada for the Potential Impacts of Quantum Computing

2021 ◽  
Author(s):  
Sahar Shoja
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computing ◽  
Quantum Computation ◽  
Barriers To Entry ◽  
Complex Tasks ◽  
Global Leader ◽  
Future Challenges ◽  
Potential Impact ◽  
The Way

Quantum computation has the potential to transform the way various Canadian industries do business. Unlike classical computers which use bits, computers built using principles of quantum mechanics use qubits, which allows them to perform several complex tasks simultaneously and at a exponentially faster speed. This research will analyze the potential impact of quantum computing on Canada's cybersecurity and workforce. It will also highlight barriers to entry for this burgeoning technology and provide recommendations that address current and future challenges. It is proposed that if Canada embraces this technology's opportunities and addresses its challenges, it can continue to be a global leader in the eld of quantum computing.

Qubits and the Framework of Quantum Mechanics

2006 ◽  
Author(s):  
Phillip Kaye ◽  
Raymond Laflamme ◽  
Michele Mosca
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Quantum Computing ◽  
Quantum Information ◽  
State Space ◽  
Quantum Physics ◽  
Complex Hilbert Space ◽  
The State ◽  
Mathematical Framework ◽  
Infinite Dimensional

In this section we introduce the framework of quantum mechanics as it pertains to the types of systems we will consider for quantum computing. Here we also introduce the notion of a quantum bit or ‘qubit’, which is a fundamental concept for quantum computing. At the beginning of the twentieth century, it was believed by most that the laws of Newton and Maxwell were the correct laws of physics. By the 1930s, however, it had become apparent that these classical theories faced serious problems in trying to account for the observed results of certain experiments. As a result, a new mathematical framework for physics called quantum mechanics was formulated, and new theories of physics called quantum physics were developed in this framework. Quantum physics includes the physical theories of quantum electrodynamics and quantum field theory, but we do not need to know these physical theories in order to learn about quantum information. Quantum information is the result of reformulating information theory in this quantum framework. We saw in Section 1.6 an example of a two-state quantum system: a photon that is constrained to follow one of two distinguishable paths. We identified the two distinguishable paths with the 2-dimensional basis vectors and then noted that a general ‘path state’ of the photon can be described by a complex vector with |α0|2 +|α1|2 = 1. This simple example captures the essence of the first postulate, which tells us how physical states are represented in quantum mechanics. Depending on the degree of freedom (i.e. the type of state) of the system being considered, H may be infinite-dimensional. For example, if the state refers to the position of a particle that is free to occupy any point in some region of space, the associated Hilbert space is usually taken to be a continuous (and thus infinite-dimensional) space. It is worth noting that in practice, with finite resources, we cannot distinguish a continuous state space from one with a discrete state space having a sufficiently small minimum spacing between adjacent locations. For describing realistic models of quantum computation, we will typically only be interested in degrees of freedom for which the state is described by a vector in a finite-dimensional (complex) Hilbert space.

scholarly journals Quantum Information: A Brief Overview and Some Mathematical Aspects

Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 273
Author(s):  
Maurice Kibler
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computing ◽  
Quantum Information ◽  
Quantum Information Processing ◽  
Short Review ◽  
Mutually Unbiased Bases ◽  
Quantum Bits ◽  
Mathematical Problems ◽  
Classical Information Theory ◽  
Main Ideas

The aim of the present paper is twofold. First, to give the main ideas behind quantum computing and quantum information, a field based on quantum-mechanical phenomena. Therefore, a short review is devoted to (i) quantum bits or qubits (and more generally qudits), the analogues of the usual bits 0 and 1 of the classical information theory, and to (ii) two characteristics of quantum mechanics, namely, linearity, which manifests itself through the superposition of qubits and the action of unitary operators on qubits, and entanglement of certain multi-qubit states, a resource that is specific to quantum mechanics. A, second, focus is on some mathematical problems related to the so-called mutually unbiased bases used in quantum computing and quantum information processing. In this direction, the construction of mutually unbiased bases is presented via two distinct approaches: one based on the group SU(2) and the other on Galois fields and Galois rings.

scholarly journals A Quantum Future: Preparing Canada for the Potential Impacts of Quantum Computing

2021 ◽  
Author(s):  
Sahar Shoja
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computing ◽  
Quantum Computation ◽  
Barriers To Entry ◽  
Complex Tasks ◽  
Global Leader ◽  
Future Challenges ◽  
Potential Impact ◽  
The Way

Quantum computation has the potential to transform the way various Canadian industries do business. Unlike classical computers which use bits, computers built using principles of quantum mechanics use qubits, which allows them to perform several complex tasks simultaneously and at a exponentially faster speed. This research will analyze the potential impact of quantum computing on Canada's cybersecurity and workforce. It will also highlight barriers to entry for this burgeoning technology and provide recommendations that address current and future challenges. It is proposed that if Canada embraces this technology's opportunities and addresses its challenges, it can continue to be a global leader in the eld of quantum computing.

scholarly journals A quantum future: preparing Canada for the potential impacts of quantum computing

2021 ◽  
Author(s):  
Sahar Shoja
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computing ◽  
Quantum Computation ◽  
Barriers To Entry ◽  
Complex Tasks ◽  
Global Leader ◽  
Future Challenges ◽  
Potential Impact ◽  
The Way

Quantum computation has the potential to transform the way various Canadian industries do business. Unlike classical computers which use bits, computers built using the principles of quantum mechanics use qubits, which allows them to perform several complex tasks simultaneously and at an exponentially faster speed. This research will analyze the potential impact of quantum computing on Canada's cybersecurity and workforce. It will also highlight barriers to entry for this burgeoning technology and provide recommendations that address current and future challenges. It is proposed that if Canada embraces this technology's opportunities and addresses its challenges, it can continue to be a global leader in the field of quantum computing.

scholarly journals A quantum future: preparing Canada for the potential impacts of quantum computing

2021 ◽  
Author(s):  
Sahar Shoja
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computing ◽  
Quantum Computation ◽  
Barriers To Entry ◽  
Complex Tasks ◽  
Global Leader ◽  
Future Challenges ◽  
Potential Impact ◽  
The Way

Quantum computation has the potential to transform the way various Canadian industries do business. Unlike classical computers which use bits, computers built using the principles of quantum mechanics use qubits, which allows them to perform several complex tasks simultaneously and at an exponentially faster speed. This research will analyze the potential impact of quantum computing on Canada's cybersecurity and workforce. It will also highlight barriers to entry for this burgeoning technology and provide recommendations that address current and future challenges. It is proposed that if Canada embraces this technology's opportunities and addresses its challenges, it can continue to be a global leader in the field of quantum computing.

Secure Cloud Quantum Computing with Verification Based on Quantum Interactive Proof

Impact ◽  
2019 ◽  
Vol 2019 (10) ◽  
pp. 30-32
Author(s):  
Tomoyuki Morimae
Keyword(s):  
Quantum Computing ◽  
Quantum Information ◽  
Theoretical Physics ◽  
View Point ◽  
Research Subjects ◽  
Interactive Proof ◽  
Open Problems ◽  
Main Research ◽  
Proof Systems ◽  
Information Group

In cloud quantum computing, a classical client delegate quantum computing to a remote quantum server. An important property of cloud quantum computing is the verifiability: the client can check the integrity of the server. Whether such a classical verification of quantum computing is possible or not is one of the most important open problems in quantum computing. We tackle this problem from the view point of quantum interactive proof systems. Dr Tomoyuki Morimae is part of the Quantum Information Group at the Yukawa Institute for Theoretical Physics at Kyoto University, Japan. He leads a team which is concerned with two main research subjects: quantum supremacy and the verification of quantum computing.

Introduction

2017 ◽  
Author(s):  
Henk W. de Regt
Keyword(s):  
Quantum Mechanics ◽  
History Of Science ◽  
Crucial Role ◽  
Scientific Understanding ◽  
Related Question ◽  
History Of ◽  
Human Desire ◽  
Exciting Project ◽  
Understanding Science ◽  
The Way

This chapter introduces the theme of the book: scientific understanding. Science is arguably the most successful product of the human desire for understanding. Reflection on the nature of scientific understanding is an important and exciting project for philosophers of science, as well as for scientists and interested laypeople. As a first illustration of this, the chapter sketches an episode from the history of science in which discussions about understanding played a crucial role: the genesis of quantum mechanics in the 1920s, and the heated debates about the intelligibility of this theory and the related question of whether it can provide understanding. This case shows that standards of intelligibility of scientists can vary strongly. Furthermore, the chapter outlines and defends the way in which this study approaches its subject, differing essentially from mainstream philosophical discussions of explanatory understanding. It concludes with an overview of the contents of the book.

QLB for Quantum Many-Body and Quantum Field Theory

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Quantum Computing ◽  
Single Particle ◽  
Body Problem ◽  
Three Dimensions ◽  
Quantum Field ◽  
Many Body ◽  
Quantum Particles

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.

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