...ELEC 9705 Quantum Devices Session 1, 2014 Assignment 1 Student ID:3402048 Name:Weitao Tang Part 1 – Controlling the spins of a hydrogen atom 1.1 4-dimentional Hilbert space: plus_plus = plus_minus = 0 1 0 0 minus_plus = 1 0 0 0 0 0 1 0 minus_minus = 0 0 0 1 Spin operator of electron: Ix = 0 0.5000 0 0 0.5000 0 0 0 0 0 0 0.5000 0 0 0.5000 0 Iy = 0.0000 + 0.0000i 0.0000 + 0.5000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 - 0.5000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.5000i Iz = 0.5000 0 0 -0.5000 0 0 0 0 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 - 0.5000i 0.0000 + 0.0000i 0 0 0 0 Spin operators of proton: Sx = 0 0 0.5000 0 0 -0.5000 0.5000 0 0 0 0 0 0 0.5000 0.5000 0 0 0.5000 0 0 Sy = 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.5000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.5000i 0.0000 - 0.5000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 - 0.5000i 0.0000 + 0.0000i 0.0000 + 0.0000i Sz = 0.5000 0 0 0 0 0.5000 0 0 0 0 -0.5000 0 0 0 0 -0.5000 1.2 The values of eigenvectors: phi_1 = phi_2 = 0 1 0.7071 0 -0.7071 0 0 0 phi_3 = phi_4 = 0 0.7071 0.7071 0 0 0 0 1 The values of eigenvalues: E_1 = E_2 = -6.6916e+09 2...
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...Seminar Synopsis Topic Introduction to Quantum Computer Abstract Overview: A classical computer has a memory made up of bits, where each bit is represented by either a one or a zero. A quantum computer maintains a sequence of qubits. What is qubits A single qubit can represent a one, a zero, or any quantum superposition of those two qubit states; a pair of qubits can be in any quantum superposition of 4 states, and three qubits in any superposition of 8 states. In general, a quantum computer with n qubits can be in an arbitrary superposition of up to 2^n different states simultaneously (this compares to a normal computer that can only be in one of these 2^n states at any one time). A quantum computer operates by setting the qubits in a controlled initial state that represents the problem at hand and by manipulating those qubits with a fixed sequence of quantum logic gates. The sequence of gates to be applied is called a quantum algorithm. The calculation ends with a measurement, collapsing the system of qubits into one of the 2^n pure states, where each qubit is zero or one, decomposing into a classical state. The outcome can therefore be at most n classical bits of information. Quantum algorithms are often non-deterministic, in that they provide the correct solution only with a certain known probability. Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement...
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...QUANTUM COMPUTER BY QUANTUM MATHEMATICS Research Assistant: Quantum Mathematics Research and Development Private Limited. HaritaBhargava haritabhargava@ymail.com Abstract-. India gives its greatest contribution toward Intellectual property in form of SANHKYA YOGA. We know very new name of INDIA by BHARAT IT gives us necessary clue. BHA = LIGHT + KNOWLEDGERATA = DEVOTED So BHARAT means DEVOTED to LIGHT & KNOWLEDGE. The model for which modern science search is already available in SANKHYA YOGA. Sankhya yoga like INTELLECTUALPROPERTY is unparallel in the world. Sankhya is a philosophical doctrine which counts the categories which constitute this world. Computer science gives it the name “DIGITAL DECADE”. Cosmology presents it in name of “UNCERTANITY PRINCIPLE” IT is being researched in the form of Quantum (wave & particle) in physics department. In future, it will be known as Medical compiler. [R4] Terms and condition : INNOVATION – RESPECT IT Under the WTO provision of TRIPS I. INTRODUCTION Article 8.1 - That agreement is to be put into effect by member countries through implementing laws. The provision of the agreement is addressed to member countries. It does not directly modify the legal sanction of private parties, who cannot claim rights based on the agreement until they are translated into national law. Article 9.2 - The concept of fair use seeks to balance granting authors sufficient incentives to create new works against the interest of the public and future...
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...QUANTUM COMPUTER BY QUANTUM MATHEMATICS Research Assistant: Quantum Mathematics Research and Development Private Limited. HaritaBhargava haritabhargava@ymail.com Abstract-. India gives its greatest contribution toward Intellectual property in form of SANHKYA YOGA. We know very new name of INDIA by BHARAT IT gives us necessary clue. BHA = LIGHT + KNOWLEDGERATA = DEVOTED So BHARAT means DEVOTED to LIGHT & KNOWLEDGE. The model for which modern science search is already available in SANKHYA YOGA. Sankhya yoga like INTELLECTUALPROPERTY is unparallel in the world. Sankhya is a philosophical doctrine which counts the categories which constitute this world. Computer science gives it the name “DIGITAL DECADE”. Cosmology presents it in name of “UNCERTANITY PRINCIPLE” IT is being researched in the form of Quantum (wave & particle) in physics department. In future, it will be known as Medical compiler. [R4] Terms and condition : INNOVATION – RESPECT IT Under the WTO provision of TRIPS I. INTRODUCTION Article 8.1 - That agreement is to be put into effect by member countries through implementing laws. The provision of the agreement is addressed to member countries. It does not directly modify the legal sanction of private parties, who cannot claim rights based on the agreement until they are translated into national law. Article 9.2 - The concept of fair use seeks to balance granting authors sufficient incentives to create new works against the interest of the public and future...
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...Quantum Quandaries by Heath Miller December 8th 2012 What if you could transfer a file faster than the speed of light on a connection with air-tight security? You could connect to a computer anywhere around the world in the blink of an eye and never have to worry about malicious activity. It seems impossible, right? Not necessarily. It could actually be done by using a quantum network. A true quantum network would be much faster than any connection we could implement with our current telecommunications hardware. In fact, a signal transferred over a true quantum connection wouldn’t take time to transfer whatsoever. It would literally arrive instantly, and would be sent using physical properties that dictate the mechanics of the entire universe. The implications of harnessing these phenomena are astounding. In a 2011 article written in by Lydia Leavitt it states that, “Researchers at the University of Copenhagen's Niels Bohr Institute have discovered what might be the key to completely secure data transfer, keeping particles ‘entangled’ for up to an hour. Until now, the link between two entangled systems could only be maintained for a fraction of a second. This development could enable a direct link between two systems of communication” (engadget.com, N.P.). This could mean incredible things for our communication systems. Don’t think that speed and convenience aren’t the only benefits we would reap either. There would be countless new tools and abilities that would...
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...growth known as Moore's law must soon come to an end. Research has already begun on what comes after our current computing revolution. This research has discovered the possibility for an entirely new type of computer, one that operates according to the laws of quantum physics, a quantum computer. A quantum computer would not just be a traditional computer built out of different parts, but a machine that would exploit the laws of quantum physics to perform certain information processing tasks in a better and more efficient manner. One demonstration of this potential is that quantum computers would break the codes that protect our modern computing infrastructure the security of every Internet transaction would be broken if a quantum computer were to be built. This potential has made quantum computing a national security concern. Yet at the same time, quantum computers will also revolutionize large parts of science in a more benevolent way. Simulating large quantum systems, something a quantum computer can easily do, is not practically possible on a traditional computer. A technology of quantum computers is also very different. For operation, quantum computer uses quantum bits (qubits). Qubit has a quaternary nature. Quantum mechanic’s laws are completely different from the laws of a classical physics. A qubit can exist not only in the states corresponding to the logical values 0 or 1 as in the case of a classical bit, but also in a superposition state. A qubit is a bit of information...
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...Quantum mechanics Rohan Agarwal It is common knowledge that matter is comprised of particles. Or is it? We all think that light consists of waves. How true are these claims? Although it may seem counterintuitive on the surface, various experiments and supporting theories have proved that the line between what is particulate and what is wavelike is finer than we imagine. At a fundamental, sub-atomic level, matter and light are both wavelike and particulate; it is only on the macroscopic scale that the divisions become better defined. The study of the physical laws that govern the realm of the very small, such as atoms, protons, and the like; developed from Planck’s quantum principle and Heisenberg’s uncertainty principle are termed as quantum mechanics. The principles of quantum mechanics revolve around two major theories- the wave-particle duality, and, in extension to this, the theory that it is possible for absolutely small particles to be in two different states at the same time. Theoretical physicists have arrived at these conclusions after powerful observations of experiments, and these will be discussed in due course. Before doing so, it is imperative to understand that this quantum strangeness does not transfer to the macroscopic world, and so some claims in this article will seem absurd. In order to demonstrate this, Erwin Schrodinger published a paper in 1935, containing a thought experiment, now popularly known as Schrodinger’s cat. A cat is put in a steel chamber...
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...Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second compensation package offered to Dunlap well structured? Was the second...
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...Quantum Computer August 13, 2014 Dr. Laura Wilson Quantum Computer As we progress in our technological world where everyone is interested in the next iPhone or Samsung Galaxy, quantum computers are still moving forward. It seems that only the smartest "nerds" seem to care and understand this wonder. What if all of the theories, concepts, and everything else that makes up what quantum computers are and will be, a way to have it so that everyone can understand. The way that quantum computers can be divided is into three main areas: quantum physics, quantum bits (qubits), and their future goals. To better understand how quantum computers work, you need to start with what clearly defines a quantum computer: "A quantum computer is a computer design which uses the principles of quantum physics to increase the computational power beyond what is attainable by a traditional computer" (Jones, 2014, p. 1). Quantum computers use two fundamental principles of quantum physics: superposition and entanglement. Quantum superposition is where the state of a physical system exists in all possible states at the same time. Then when the physical system is only one state is give to the collection device. A good example of this is the famous Schrödinger's Cat, a thought experiment purposed by Erwin Schrödinger in 1935, where Schrödinger talks about having a cat in a closed box with a vial of poisonous acid with a hammer that will break the vial if any radioactivity is detected (Schrödinger...
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...Quantum Theory Electrons behave like particles in some experiments, and like waves in others. The electron's 'wave/particle duality' has no real analogy in the everyday world. The quantum theory that describes the behavior of electrons is a cornerstone in modern chemistry. Quantum theory can be used to explain why atoms are stable, why things have the color they do, why the periodic table has the structure it does, why chemical bonds form, and why different elements combine in different ratios with each other. Light and electrons both behave quantum mechanically. To understand the experimental basis for the quantum theory, we have to begin our discussion with light. Waves * Waves are an oscillation that moves outward from a disturbance (ripples moving away from a pebble dropped into a pond) Properties of waves | property | definition | symbol | SI units | velocity | distance traveled per second | c | m/s | amplitude | peak height above midline | A | varies with type of wave | wavelength | peak-to-peak distance | | m | frequency | number of peaks passing by per second | | s-1 (called Hertz) | | * relationship between frequency and wavelength * distance per cycle × cycles per second = distance per second = c * examples * The speed of sound in air is 330 m/s. Humans can hear sounds with wavelengths between 17 m and 17 mm. What is the highest sound frequency that is audible? * interference * constructive interference:...
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...Quantum mechanics (QM – also known as quantum physics, or quantum theory) is a branch of physics dealing with physical phenomena where the action is on the order of the Planck constant. Quantum mechanics departs from classical mechanics primarily at the quantum realm of atomic and subatomic length scales. QM provides a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. In advanced topics of quantum mechanics, some of these behaviors are macroscopic and only emerge at extreme (i.e., very low or very high) energies or temperatures. The name quantum mechanics derives from the observation that some physical quantities can change only in discrete amounts (Latin quanta), and not in a continuous (cf. analog) way. For example, the angular momentum of an electron bound to an atom or molecule is quantized.[1] In the context of quantum mechanics, the wave–particle duality of energy and matter and the uncertainty principle provide a unified view of the behavior of photons, electrons, and other atomic-scale objects. The mathematical formulations of quantum mechanics are abstract. A mathematical function called the wavefunction provides information about the probability amplitude of position, momentum, and other physical properties of a particle. Mathematical manipulations of the wavefunction usually involve the bra-ket notation, which requires an understanding of complex numbers and linear functionals. The wavefunction...
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...which classical computers are unable to solve, for example, simulations of atomic quantum systems. For this very reason researchers all around the world started to put their efforts into creating a fully functional quantum computer. HOW DO QUANTUM COMPUTERS WORK? As you might know, classical computers operate in bits, which can have one of the two values at the time: either 1 or 0. However, quantum computers operate in quantum bits or qubits, which are usually represented by such particles like atoms, ions, electrons, and photons. All of these particles have a property called superposition, which means that they can be of two states at the same time, that is a qubit can represent both 1 and 0 at the same time. To put it simply we can illustrate superposition with a famous physicist’s Erwin Schrodinger’s thought experiment: if we put a living cat in a closed box rigged with a device that can randomly release poison (there is equal probability that it will release and won’t) we can say that until we open the box to check the state of the cat, it’s both dead and alive at the same time. And that’s the whole reason why quantum computers are superior to classical ones. For example, a 3 bit register can save only one of the 8 (23) possible bit combinations at the time, but a quantum register of the same size could save all of the combinations at the same time. To take another example, only 500 qubit quantum register could save a number of possible combinations equal to the amount of all...
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...QUANTUM ELECTRODYNAMICS What is quantum electrodynamics? Sociology Anna C Jean – Guillaume Martin LCSW March 7, 2015 Professor Dr. Beverly Jackson Quantum electrodynamics (QED): Is the e area of physics devoted to the study of the interaction of matter (quantum particles) and light. It generally concerns itself with the wave (or field) aspects of nature. At the level of the quantum realm, QED demonstrates that everything is connected. The world is a vast web of relationships, with everything affecting everything else. The brain, blood, and bone of the body give way to invisible forces, fields, and particles whose interactions underlie not only the human body but all of matter. Molecules give way to atoms that dissolve into subatomic particles, so that our bodies are governed not only by the laws of everyday chemistry but also by the paradoxical principles of the physical body. History shows that most truly fundamental leaps forward in scientific understanding are shunned at first. Truly new insights are sometimes too radical an overturning of accepted theory or too threatening to business or academic interests to be evaluated impartially. You have only to think of germ theory, tectonic plate theory, quantum electrodynamics, and string theory to know that even ideas that are accepted widely in our day were dismissed as crackpot ideas by a previous generation of scientists. Over the years, as physicists’ explored wave-particle duality, the study of quantum physics...
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...Quantum mechanics (QM – also known as quantum physics, or quantum theory) is a branch of physics which deals with physical phenomena at nanoscopic scales, where the action is on the order of the Planck constant. It departs from classical mechanics primarily at the quantum realm of atomic and subatomic length scales. Quantum mechanics provides a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It is the non-relativistic limit of quantum field theory (QFT), a theory that was developed later that combined quantum mechanics with relativity. In advanced topics of quantum mechanics, some of these behaviors are macroscopic (see macroscopic quantum phenomena) and emerge at only extreme (i.e., very low or very high) energies or temperatures (such as in the use of superconducting magnets). The name quantum mechanics derives from the observation that some physical quantities can change only in discrete amounts (Latin quanta), and not in a continuous (cf. analog) way. For example, the angular momentum of an electron bound to an atom or molecule is quantized.[1] In the context of quantum mechanics, the wave–particle duality of energy and matter and the uncertainty principle provide a unified view of the behavior of photons, electrons, and other atomic-scale objects. The mathematical formulations of quantum mechanics are abstract. A mathematical function known as the wavefunction provides information about the probability...
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...Berners-Lee with his introduction of the World Wide Web in the early 1990’s, and constant developments in computer science and computational power made possible through advances in microprocessing capabilities which seem to be paralleling closely with forecasts given by Moore’s Law (Greenemeir, 2009). Moore’s Law, which is not exactly a law, is an estimation regarding the progression deemed possible in an integrated circuit. It was postulated by one of the founders of Intel, Dr. Gordon Moore, who stated that the number of transistors placed on a circuit will double roughly every 18 months (Colwell, 2013), and the capacity to follow this trend will end at a critical point when transistors become so close together that the manifestations of quantum mechanics will begin to transpire (Tally, 2012). Classical computers have undoubtedly reshaped our world and have provided incalculable progress unforeseen through the eyes of some of history’s greatest academics. Early computers were mammoth-sized mechanical devices utilized by the military for processing information that would take humans hours by manual calculation alone (Watson, 2012). Computers, in the days prior to digital computers, were actual people who would literally compute information for whatever their task or job may have been. Though these positions were often filled with clever mathematicians, their capacity to compute problems with increasing...
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