A quantum computing primer for operator theorists
... The measurement is projective if each of the Mk is a projection, and thus the Mk have mutually orthogonal ranges. (A ‘classical measurement’ arises when all the projections are rank one.) The index k refers to the possible measurement outcomes in an experiment. If the state of the system is |ψ befo ...
... The measurement is projective if each of the Mk is a projection, and thus the Mk have mutually orthogonal ranges. (A ‘classical measurement’ arises when all the projections are rank one.) The index k refers to the possible measurement outcomes in an experiment. If the state of the system is |ψ befo ...
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... Today, the main challenge of theoretical physics is to settle a theory of quantum gravity that will reconcile General Relativity with Quantum Mechanics. There are three main approaches to quantum gravity: the canonical approach, the histories approach, and string theory. In what follows, we will foc ...
... Today, the main challenge of theoretical physics is to settle a theory of quantum gravity that will reconcile General Relativity with Quantum Mechanics. There are three main approaches to quantum gravity: the canonical approach, the histories approach, and string theory. In what follows, we will foc ...
Closed timelike curves make quantum and classical computing equivalent
... is simply that the state space and the set of transformations are such that fixed points exist. It might be thought mysterious that nature ‘finds’ a fixed point r of F: how, one might ask, does nature do this? Does nature not have to find r before the CTC computation starts, so that, in some sense, runn ...
... is simply that the state space and the set of transformations are such that fixed points exist. It might be thought mysterious that nature ‘finds’ a fixed point r of F: how, one might ask, does nature do this? Does nature not have to find r before the CTC computation starts, so that, in some sense, runn ...
The Quantum Measurement Problem: State of Play - Philsci
... However, this “traditional account” is not an “interpretation-neutral” way of stating the basic assumptions of QM; it is a false friend. Primarily, this is because it fails to give a good account of how physicists in practice apply QM: it assumes that measurements can be treated as PVMs, whereas as ...
... However, this “traditional account” is not an “interpretation-neutral” way of stating the basic assumptions of QM; it is a false friend. Primarily, this is because it fails to give a good account of how physicists in practice apply QM: it assumes that measurements can be treated as PVMs, whereas as ...
An Introduction to Applied Quantum Mechanics in the Wigner Monte
... with the work of E. Schrödinger who proposed his famous equation (1926) [6], describing quantum systems in terms of (complex) wave-functions ψ = ψ(x). In his exposition, he was the first to propose a physical interpretation of the unknown function described by his equation, where he regarded the wa ...
... with the work of E. Schrödinger who proposed his famous equation (1926) [6], describing quantum systems in terms of (complex) wave-functions ψ = ψ(x). In his exposition, he was the first to propose a physical interpretation of the unknown function described by his equation, where he regarded the wa ...
quantum transport phenomena of two
... number of atoms they contain, can be varied over a broad range. The number of electrons ...
... number of atoms they contain, can be varied over a broad range. The number of electrons ...
A blueprint for building a quantum computer
... have been demonstrated in the laboratory, with examples of the material and the final device given for each state variable. Controlling any kind of physical system all the way down to the quantum level is difficult, interacting qubits with each other but not anything else is even harder, and control ...
... have been demonstrated in the laboratory, with examples of the material and the final device given for each state variable. Controlling any kind of physical system all the way down to the quantum level is difficult, interacting qubits with each other but not anything else is even harder, and control ...
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... ◆ The K0 and K0 are produced by the strong interaction and have definite strangeness. ☞ They cannot decay via the strong or electromagnetic interaction. ...
... ◆ The K0 and K0 are produced by the strong interaction and have definite strangeness. ☞ They cannot decay via the strong or electromagnetic interaction. ...
Supercurrent through a multilevel quantum dot - FU Berlin
... we illustrate that this scenario is generic and compute J as a function of the gate voltage for experimentally relevant values of U , , and . To gain a more thorough understanding of the singlet-triplet transition (which we expect to be a distinct feature of any more complex quantum-dot geometry c ...
... we illustrate that this scenario is generic and compute J as a function of the gate voltage for experimentally relevant values of U , , and . To gain a more thorough understanding of the singlet-triplet transition (which we expect to be a distinct feature of any more complex quantum-dot geometry c ...
Solid Helium-4: A Supersolid?
... Supersolid = Solid with Superfluid Properties Introduction: Solids - Quantum or Otherwise Living in the Past This is the Moment Days of Future Passed ...
... Supersolid = Solid with Superfluid Properties Introduction: Solids - Quantum or Otherwise Living in the Past This is the Moment Days of Future Passed ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.