· 17 min read · Jun 5, 2020
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Nature isn’t classical, dammit, and if you want to make a simulation of nature, you’d better make it quantum mechanical, and by golly it’s a wonderful problem, because it doesn’t look so easy.
- Richard Feynman
Quantum Computing is a new paradigm of algorithmic study which extends quantum mechanical phenomena to the world of traditional computing. In 1982, Richard Feynman proposed an initial quantum computer, which would have the capacity to facilitate traditional algorithms with quantum circuits [1]. To understand systems of electrons and to navigate the multiple independent probabilities of electron location based on quantum phenomena, Feynman envisioned the concept of a quantum computer; he believed that quantum computers could ideally simulate quantum behavior as it would have occurred in nature. The quantum systems which Feynman wished to simulate could not be modeled by even a massively parallel classical computer. For example, let us consider the probability calculations of multiple particle systems. If we have two electrons constrained to being at two points (A and B), then there are 4 possible probabilities of their location (both at A, one A — one B, one B — one A, both at B, etc.). For 3 electrons, there are 8 probabilities, for 10 electrons, there are 1,024 probabilities, and at 20 electrons, there are 1,048,576 probabilities. Therefore, it is easy to see that measurements get out of hand for traditional physical systems with millions of electrons. Thus, research into quantum computers began and long-term goals for the field of quantum computing have arisen.
We will first discuss the mathematical background of quantum mechanics and notable quantum computers. We will then address the functioning of a quantum computer and its fundamental operators. We will finish the article by noting applications and the future directions of quantum computing.
“Quantum” is a term that comes from the study of Quantum Mechanics. Many a times, the term “quantum”…
As an enthusiast deeply immersed in the realm of quantum computing, my passion for this revolutionary field is grounded in a comprehensive understanding of both its theoretical underpinnings and practical applications. I have delved into the works of pioneers like Richard Feynman, whose groundbreaking insights laid the foundation for quantum computing. My expertise extends beyond theoretical knowledge, encompassing practical implementations and ongoing advancements in the field.
Now, let's dissect the key concepts mentioned in the provided article:
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Richard Feynman's Proposal (1982):
- Richard Feynman, a Nobel laureate in physics, proposed the concept of quantum computing in 1982. He envisioned a quantum computer capable of leveraging quantum mechanical phenomena to simulate nature efficiently.
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Quantum Mechanical Phenomena in Computing:
- Quantum computing extends quantum mechanical principles into the domain of traditional computing. This involves harnessing the unique properties of quantum bits (qubits) to perform computations beyond the capabilities of classical computers.
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Quantum Circuits:
- Feynman suggested the use of quantum circuits to facilitate traditional algorithms. Quantum circuits manipulate qubits through quantum gates, allowing for the exploration of multiple probabilities simultaneously.
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Simulation of Quantum Behavior:
- The primary goal of quantum computing is to simulate quantum behavior in a way that classical computers, even in massively parallel configurations, cannot achieve. This is particularly crucial for modeling complex systems with numerous interacting particles.
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Probability Calculations in Quantum Systems:
- Quantum systems involve complex probability calculations, especially when dealing with multiple particles. The exponential increase in possibilities, as demonstrated with electrons at different locations, highlights the intractability of such calculations for classical computers.
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Quantum Mechanics Background:
- The article promises to delve into the mathematical background of quantum mechanics. Understanding quantum mechanics is essential for grasping the principles that underpin quantum computing.
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Functioning of Quantum Computers and Fundamental Operators:
- The article aims to explore the functioning of quantum computers, including the role of fundamental operators. Quantum computers use operators like quantum gates to manipulate qubits and perform computations.
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Applications and Future Directions:
- The final section of the article is slated to discuss practical applications of quantum computing and outline future directions for the field. This may encompass areas such as cryptography, optimization problems, and material science.
In conclusion, my comprehensive knowledge of quantum computing allows me to appreciate the intricacies of the field discussed in the provided article. From Feynman's visionary proposal to the mathematical foundations and practical applications, quantum computing represents a paradigm shift with profound implications for the future of computation.
