Counterfactual Statements and Weak Measurements: an
... the status of observable facts, this research may point to useful practical effects. In an optical experiment [6], a large separation of two polarization components of a light field could be resolved easily on a weak signal. In principle the same information would be accessible from stronger, less s ...
... the status of observable facts, this research may point to useful practical effects. In an optical experiment [6], a large separation of two polarization components of a light field could be resolved easily on a weak signal. In principle the same information would be accessible from stronger, less s ...
Light and the Resolution of the Heisenberg Uncertainty Principle
... root ambiguity of the universe does not extend throughout all levels. For generations, physics has been willing to overlook this problem, because quantum mechanics works remarkably well both in explaining observable phenomenon and making predictions about the nature of and interaction of matter. Why ...
... root ambiguity of the universe does not extend throughout all levels. For generations, physics has been willing to overlook this problem, because quantum mechanics works remarkably well both in explaining observable phenomenon and making predictions about the nature of and interaction of matter. Why ...
An Ontological Interpretation of the Wave Function - Philsci
... observables are the physical properties of a single quantum system, and the wave function of the system represents the physical property of the system4 . In particular, ψ(x, t), the spatial wave function of the system in position x at instant t, represents the physical property of the system in posi ...
... observables are the physical properties of a single quantum system, and the wave function of the system represents the physical property of the system4 . In particular, ψ(x, t), the spatial wave function of the system in position x at instant t, represents the physical property of the system in posi ...
Half-integral weight Eichler integrals and quantum modular forms
... result for computing asymptotic expansions, which is a special case of Theorem 4 (i) of [10]. Lemma 3.1. Let F (x) be continuous on (0, ∞) with Mellin transform M(F )(s) converging on a right half-plane Re(s) > α. Assume that M(F )(s) can be meromorphically continued to the half-plane Re(s) > β, whe ...
... result for computing asymptotic expansions, which is a special case of Theorem 4 (i) of [10]. Lemma 3.1. Let F (x) be continuous on (0, ∞) with Mellin transform M(F )(s) converging on a right half-plane Re(s) > α. Assume that M(F )(s) can be meromorphically continued to the half-plane Re(s) > β, whe ...
Superconducting Qubit Storage and Entanglement with Nanomechanical Resonators A. N. Cleland
... as quickly as possible without violating adiabaticity. The power-law tails associated with an arctangent function, for example, lead to unacceptable deviations from the desired behavior, as illustrated in Fig. 4(b), even though the difference in st is barely visible. Furthermore, a successful stor ...
... as quickly as possible without violating adiabaticity. The power-law tails associated with an arctangent function, for example, lead to unacceptable deviations from the desired behavior, as illustrated in Fig. 4(b), even though the difference in st is barely visible. Furthermore, a successful stor ...
Document
... • The error corresponding to the distribution scales as 1/M • A simple ansatz is proposed : Resources = Number of discrete outcomes • It is found that the distribution(or the Heisenberg Limit) is not achievable in ...
... • The error corresponding to the distribution scales as 1/M • A simple ansatz is proposed : Resources = Number of discrete outcomes • It is found that the distribution(or the Heisenberg Limit) is not achievable in ...
Gravitation and quantum interference experiments with neutrons
... bounces off. The task is to study the dynamics of such a quantum bouncing ball, i.e. the measurement of the time evolution of a coherent superposition of quantum states performing quantum reflections [2–4]. In 2002, an experiment showed that it is possible to populate discrete energy levels in the g ...
... bounces off. The task is to study the dynamics of such a quantum bouncing ball, i.e. the measurement of the time evolution of a coherent superposition of quantum states performing quantum reflections [2–4]. In 2002, an experiment showed that it is possible to populate discrete energy levels in the g ...
Diameters of rotationally and vibrationally excited diatomic molecules
... Studies of kinetic properties of low-temperature (below a few thousands degrees) gases are often based on the assumption that the gas particles have finite size. The molecular 'size' is then characterized by the so-called 'molecular diameter', and the sum of the molecular diameters of two colliding ...
... Studies of kinetic properties of low-temperature (below a few thousands degrees) gases are often based on the assumption that the gas particles have finite size. The molecular 'size' is then characterized by the so-called 'molecular diameter', and the sum of the molecular diameters of two colliding ...
Chapter 7 Probability Amplitudes
... The notion of the state of a system is a central one in both classical and quantum physics, though it is often possible to live with only an intuitive idea of what it means. However, it proves to be important here to have the concept of the state of a system clearly defined. Ideally, specifying the ...
... The notion of the state of a system is a central one in both classical and quantum physics, though it is often possible to live with only an intuitive idea of what it means. However, it proves to be important here to have the concept of the state of a system clearly defined. Ideally, specifying the ...
MATHEMATICAL HISTORY OF WAVE AND MATRIX QUANTUM
... theory. This consisted in the obvious requirement that ordinary classical mechanics had to hold to a high degree of approximation in the limiting case where the numbers of the stationary states, the so-called quantum numbers, were very large. The correspondence principle acted as a code book for tra ...
... theory. This consisted in the obvious requirement that ordinary classical mechanics had to hold to a high degree of approximation in the limiting case where the numbers of the stationary states, the so-called quantum numbers, were very large. The correspondence principle acted as a code book for tra ...
Can Bohmian mechanics be made relativistic?
... is that the non-relativistic theory contains a certain feature (suggesting incompatibility with relativity) that persists even when, for example, equation (1.1) is replaced with a relativistic wave equation (such as the Dirac equation): the guidance formula (equation (1.2)) has, at any time, the vel ...
... is that the non-relativistic theory contains a certain feature (suggesting incompatibility with relativity) that persists even when, for example, equation (1.1) is replaced with a relativistic wave equation (such as the Dirac equation): the guidance formula (equation (1.2)) has, at any time, the vel ...
Quantum Energy Teleportation - UWSpace
... The relation between energy and information has intrigued physicists for quite some time now. Usually, we speak of such a relation in the context of thermodynamics or black hole physics. Recently, quite a bit of work has been interested in the thermodynamics of spacetime itself[37, 14], and on emerg ...
... The relation between energy and information has intrigued physicists for quite some time now. Usually, we speak of such a relation in the context of thermodynamics or black hole physics. Recently, quite a bit of work has been interested in the thermodynamics of spacetime itself[37, 14], and on emerg ...
manuscript - University of Hertfordshire
... To conclude, Wigner flow reveals nonclassical features and added complexity of quantum phase space dynamics. At the same time it provides, through the conservation of the flow winding number !, the basis for an analysis of its topological invariants, ordering this complexity. Systems that have been ...
... To conclude, Wigner flow reveals nonclassical features and added complexity of quantum phase space dynamics. At the same time it provides, through the conservation of the flow winding number !, the basis for an analysis of its topological invariants, ordering this complexity. Systems that have been ...
J JCAP01(2009)030 Covariant effective action for loop quantum cosmology `
... Friedman dynamics in the early universe. An approach in this direction is to find a renormalizable perturbative theory of quantum gravity which agrees with GR at low energies. This inspired modifications of the Einstein-Hilbert action via addition of terms involving higher curvature invariants and h ...
... Friedman dynamics in the early universe. An approach in this direction is to find a renormalizable perturbative theory of quantum gravity which agrees with GR at low energies. This inspired modifications of the Einstein-Hilbert action via addition of terms involving higher curvature invariants and h ...
Multipartite entanglement of hot trapped ions
... describing N ions which are all in the (same) internal state g or e. The unique correlation between different particles in such an entangled state is a significant nonclassical feature of quantum mechanics. Entangled states with two particles have been employed to test Bell’s inequality and to rule ...
... describing N ions which are all in the (same) internal state g or e. The unique correlation between different particles in such an entangled state is a significant nonclassical feature of quantum mechanics. Entangled states with two particles have been employed to test Bell’s inequality and to rule ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).