scholarly journals Quantum Computing and Complexity in Art

Leonardo ◽  
2019 ◽  
Vol 52 (3) ◽  
pp. 230-235
Author(s):  
Libby Heaney

The author draws on her research experience in quantum computing to discuss the conception and form of an interactive installation, CLOUD. CLOUD explores complexity in the postdigital by referencing the principles of quantum superposition, quantum entanglement and quantum measurement.

Author(s):  
Duncan G. Steel

The postulates presented at this point are generally agreed upon as being the primary set. But in the course of these postulates, there is no mention of the consequences of measurement. This chapter discusses this problem and the solution as provided by the Von-Neumann postulate. The concept of the projection operator is introduced, and this leads naturally to the study of the quantum entangled state. The results show in part the origin of the struggle that Einstein and others had with quantum, and the Einstein, Podolsky, and Rosen (EPR) paradox. Quantum entanglement is the key to advanced ideas in quantum encryption, teleportation, and quantum computing.


2021 ◽  
Vol 11 (6) ◽  
pp. 2696
Author(s):  
Aritra Sarkar ◽  
Zaid Al-Ars ◽  
Koen Bertels

Inferring algorithmic structure in data is essential for discovering causal generative models. In this research, we present a quantum computing framework using the circuit model, for estimating algorithmic information metrics. The canonical computation model of the Turing machine is restricted in time and space resources, to make the target metrics computable under realistic assumptions. The universal prior distribution for the automata is obtained as a quantum superposition, which is further conditioned to estimate the metrics. Specific cases are explored where the quantum implementation offers polynomial advantage, in contrast to the exhaustive enumeration needed in the corresponding classical case. The unstructured output data and the computational irreducibility of Turing machines make this algorithm impossible to approximate using heuristics. Thus, exploring the space of program-output relations is one of the most promising problems for demonstrating quantum supremacy using Grover search that cannot be dequantized. Experimental use cases for quantum acceleration are developed for self-replicating programs and algorithmic complexity of short strings. With quantum computing hardware rapidly attaining technological maturity, we discuss how this framework will have significant advantage for various genomics applications in meta-biology, phylogenetic tree analysis, protein-protein interaction mapping and synthetic biology. This is the first time experimental algorithmic information theory is implemented using quantum computation. Our implementation on the Qiskit quantum programming platform is copy-left and is publicly available on GitHub.


Author(s):  
Joseph Brenner

The conjunction of the disciplines of computing and philosophy implies that discussion of computational models and approaches should include explicit statements of their underlying worldview, given the fact that reality includes both computational and non-computational domains. As outlined at ECAP08, both domains of reality can be characterized by the different logics applicable to them. A new “Logic in Reality” (LIR) was proposed as best describing the dynamics of real, non-computable processes. The LIR process view of the real macroscopic world is compared here with recent computational and information-theoretic models. Proposals that the universe can be described as a mathematical structure equivalent to a computer or by simple cellular automata are deflated. A new interpretation of quantum superposition as supporting a concept of paraconsistent parallelism in quantum computing and an appropriate ontological commitment for computational modeling are discussed.


2007 ◽  
Vol 40 (2) ◽  
pp. 363-366 ◽  
Author(s):  
Kazunobu Sato ◽  
Robabeh Rahimi ◽  
Nobuyuki Mori ◽  
Shinsuke Nishida ◽  
Kazuo Toyota ◽  
...  

2021 ◽  
Vol 7 (1) ◽  
pp. 1-9
Author(s):  
Zion Elani

Quantum computing, a fancy word resting on equally fancy fundamentals in quantum mechanics, has become a media hype, a mainstream topic in popular culture and an eye candy for high-tech company researchers and investors alike. Quantum computing has the power to provide faster, more efficient, secure and accurate computing solutions for emerging future innovations. Governments the world over, in collaboration with high-tech companies, pour in billions of dollars for the advancement of computing solutions quantum-based and for the development of fully functioning quantum computers that may one day aid in or even replace classical computers. Despite much hype and publicity, most people do not understand what quantum computing is, nor do they comprehend the significance of the developments required in this field, and the impact it may have on the future. Through these lecture notes, we embark on a pedagogic journey of understanding quantum computing, gradually revealing the concepts that form its basis, later diving in a vast pool of future possibilities that lie ahead, concluding with understanding and acknowledging some major hindrance and speed breaking bumpers in their path.


2012 ◽  
Vol 182-183 ◽  
pp. 2118-2122
Author(s):  
Yu Li ◽  
Liang Ma

A hybrid algorithm for solving the vehicle routing problem is proposed based upon the combination of Ant Colony Optimization and quantum computing. The algorithm takes the advantage of the principles in quantum computing, such as the qubit, quantum gate, and the quantum superposition of states. It can search the best solution by quantum walk and can further improve the search capability of the algorithm for the best solution. Numerical examples are tested and verified, that show the good performances.


2021 ◽  
Author(s):  
Alan Kadin

<div>It is widely believed that quantum computing is on the threshold of practicality, with performance that will soon greatly surpass that of classical computing. On the contrary, I argue that quantum computing does not currently exist, and probably never will. First, although quantum annealing systems have been demonstrated to solve practical optimization problems, they are actually performing classical analog annealing, with no quantum enhancement. In contrast, while systems of quantum gate arrays, which are expected to perform digital quantum computing, have been fabricated with up to ~ 100 qubits in several technologies, they have not performed any practical computations. This is not merely a question of excess noise; the theory of massive quantum entanglement, necessary for the desired performance, has never been actually been verified. The well-established quantum results such as electronic energy bands do not incorporate quantum entanglement. I suggest that the experimental observations in multi-qubit systems may be explained as the result of delocalized coupled oscillator modes, similar to that in electronic energy bands. Such coupled modes would not yield the exponential increase in degrees of freedom needed for quantum speedup, and hence would not be useful for computing. Tests on these multi-qubit systems should be able to distinguish these two models. The quantum computing research community really needs to address this issue.</div>


Author(s):  
M. Suhail Zubairy

This chapter deals with some of the most prominent successes of quantum computing. The most well-known quantum computing algorithm, Shor’s algorithm for factoring a number in its prime factors, is discussed in details. The key to Shor’s algorithm is the quantum Fourier transform that is explained with the help of simple examples. The role of quantum entanglement is also discussed. The next important quantum computing algorithm is Grover’s algorithm that helps in searching an item in an unsorted database. This algorithm is motivated by first discussing a quantum shell game in which a pea hidden under one of the four shells is found in one measurement with certainty each time. This amazing result is then generalized to an arbitrary number of objects and Grover’s algorithm.


2016 ◽  
Vol 4 (1) ◽  
Author(s):  
Kapil Chandra Agarwal

We present scientific basis of Kapil-Neha Total Internal Reflection Quantum Mechanical Projection Wave function Ψ Technique (KANEHA-TIR-Ψ Projective Technique). KANEHA-TIR-Ψ projective technique uses an integrated computing approach of quantum entanglement for brain’s functioning, programming, training and development. This technique simultaneously stimulates and applies forces/correlations on trillions of elements of fine neural networks of different sections of human brain. As a result, those elements process/entangle/correlate information among each other by ‘intensified and integrated quantum-mechanical evanescent wave tunnelling of their neuro-energy wave function potentials into neighbouring neurons and cerebrospinal fluid. This technique is so powerful that under healthy environmental conditions – it can even regenerate/repair brain’s undeveloped/damaged neuron fine tissues/ neural-network. Experiments suggest that under suitable conditions of quantum-growth, KANEHA-TIR-Ψ projective technique has shown neurogenesis ‘possible’ even in adulthood age. KANEHA-TIR-Ψ projective technique is a revolutionary invention in the field of quantum-biophysics, mental-assessment, clinical-diagnosis, quantum-entanglement, quantum super-computing, neurogenesis, and non-destructive medical surgeries. It also provides ‘firm-evidences’ about quantum computing nature of human brain using electromagnetic wave signals.


2021 ◽  
Author(s):  
Alan Kadin

<div>It is widely believed that quantum computing is on the threshold of practicality, with performance that will soon greatly surpass that of classical computing. On the contrary, I argue that quantum computing does not currently exist, and probably never will. First, although quantum annealing systems have been demonstrated to solve practical optimization problems, they are actually performing classical analog annealing, with no quantum enhancement. In contrast, while systems of quantum gate arrays, which are expected to perform digital quantum computing, have been fabricated with up to ~ 100 qubits in several technologies, they have not performed any practical computations. This is not merely a question of excess noise; the theory of massive quantum entanglement, necessary for the desired performance, has never been actually been verified. The well-established quantum results such as electronic energy bands do not incorporate quantum entanglement. I suggest that the experimental observations in multi-qubit systems may be explained as the result of delocalized coupled oscillator modes, similar to that in electronic energy bands. Such coupled modes would not yield the exponential increase in degrees of freedom needed for quantum speedup, and hence would not be useful for computing. Tests on these multi-qubit systems should be able to distinguish these two models. The quantum computing research community really needs to address this issue.</div>


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