Theoretische und Mathematische Grundlagen der Physik
... — •Ivo Knittel and Uwe Hartmann — Institute of experimental physics, University of Saarbrücken, 66041 Saarbrücken The decoherence rate of a quantum particle can be much higher than the rate of momentum change. An example is a free particle moving with a constant velocity in a dephasing environment ...
... — •Ivo Knittel and Uwe Hartmann — Institute of experimental physics, University of Saarbrücken, 66041 Saarbrücken The decoherence rate of a quantum particle can be much higher than the rate of momentum change. An example is a free particle moving with a constant velocity in a dephasing environment ...
DesignCon 2002 - UF CISE
... reversible mechanism, and emit essentially no entropy into the environment during the process. This scenario is not at all fantasy, but is today done routinely in the lab, in quantum computing experiments using digital data encoded in the quantum states of individual atoms [3]. The reversible versio ...
... reversible mechanism, and emit essentially no entropy into the environment during the process. This scenario is not at all fantasy, but is today done routinely in the lab, in quantum computing experiments using digital data encoded in the quantum states of individual atoms [3]. The reversible versio ...
Exact solutions of effective
... operator is still an open problem. In the light of all these, the present work addresses a more general and compact framework introducing two different models to solve exactly for a physical system involving a position dependent mass with the consideration of all physically acceptable Hamiltonians p ...
... operator is still an open problem. In the light of all these, the present work addresses a more general and compact framework introducing two different models to solve exactly for a physical system involving a position dependent mass with the consideration of all physically acceptable Hamiltonians p ...
Building and bounding quantum Bernoulli factories
... the output type of the factory. For instance, the “quantum Bernoulli factory” of DJR becomes a “quantum coin factory” in our terminology since it uses quoins to make coins. We will use the term “Bernoulli factory” to refer generally to algorithms that use a black-box input hiding a probability distr ...
... the output type of the factory. For instance, the “quantum Bernoulli factory” of DJR becomes a “quantum coin factory” in our terminology since it uses quoins to make coins. We will use the term “Bernoulli factory” to refer generally to algorithms that use a black-box input hiding a probability distr ...
Quantum Computing
... Shannon’s theorem, error correcting codes, Turing machines and computational complexity. The principles of quantum mechanics are then outlined, and the EPR experiment described. The EPR-Bell correlations, and quantum entanglement in general, form the essential new ingredient which distinguishes quan ...
... Shannon’s theorem, error correcting codes, Turing machines and computational complexity. The principles of quantum mechanics are then outlined, and the EPR experiment described. The EPR-Bell correlations, and quantum entanglement in general, form the essential new ingredient which distinguishes quan ...
An Introduction to the Mathematical Aspects of Quantum Mechanics:
... where xk is an arbitrary point of Ik . We desire that this sum converge to a limit as the maximum length goes to zero, and furthermore the convergence is independent of our choices of intervals Ik and point xk . If all this holds, we call the limit x̄ the mathematical expectation of x. If x is not r ...
... where xk is an arbitrary point of Ik . We desire that this sum converge to a limit as the maximum length goes to zero, and furthermore the convergence is independent of our choices of intervals Ik and point xk . If all this holds, we call the limit x̄ the mathematical expectation of x. If x is not r ...
Tunable spin-spin interactions and entanglement of ions in
... and versatile couplings6,7,12. In addition, these effective spin–spin interactions may enable logic operations to be performed in a multi-zone quantum information processor13–15 without the need to bring the quantum bits (qubits) into the same trapping potential well16,17. Such coupling might also p ...
... and versatile couplings6,7,12. In addition, these effective spin–spin interactions may enable logic operations to be performed in a multi-zone quantum information processor13–15 without the need to bring the quantum bits (qubits) into the same trapping potential well16,17. Such coupling might also p ...
glossery - Paradigm Shift Now
... maximizes its entropy. Prigogine and his advocates feel they have developed a mathematical Theory of Dissipative Structures which is very important to the physical and social sciences; accounting for such phenomena as the Great Red Spot on Jupiter, and perhaps even life itself. Other scientists, inc ...
... maximizes its entropy. Prigogine and his advocates feel they have developed a mathematical Theory of Dissipative Structures which is very important to the physical and social sciences; accounting for such phenomena as the Great Red Spot on Jupiter, and perhaps even life itself. Other scientists, inc ...
Chapter 3 Foundations II: Measurement and Evolution 3.1
... by turning on a coupling between that observable and a “pointer” variable that will serve as the apparatus. The coupling establishes entanglement between the eigenstates of the observable and the distinguishable states of the pointer, so that we can prepare an eigenstate of the observable by “observ ...
... by turning on a coupling between that observable and a “pointer” variable that will serve as the apparatus. The coupling establishes entanglement between the eigenstates of the observable and the distinguishable states of the pointer, so that we can prepare an eigenstate of the observable by “observ ...
The Helium Atom - Oxford Academic
... of the underlying classical dynamics. Unfortunately, this information is highly non-trivial to obtain. The equations of motion are multi-dimensional, non-integrable and singular, hence anything but an easy-to-do-job. In addition, the independent particle case 1/Z =0 (Z is the nuclear charge) is high ...
... of the underlying classical dynamics. Unfortunately, this information is highly non-trivial to obtain. The equations of motion are multi-dimensional, non-integrable and singular, hence anything but an easy-to-do-job. In addition, the independent particle case 1/Z =0 (Z is the nuclear charge) is high ...
Quantum Mechanical Modelling and Optical Spectroscopy of
... In the past 10 years, ZnO as a semiconductor has attracted considerable attention due to its unique properties; such as high electron mobility, wide and direct bandgap, high oscillator strength, and a large exciton binding energy. The increasing interest in ZnO-based electronics can largely be attri ...
... In the past 10 years, ZnO as a semiconductor has attracted considerable attention due to its unique properties; such as high electron mobility, wide and direct bandgap, high oscillator strength, and a large exciton binding energy. The increasing interest in ZnO-based electronics can largely be attri ...
Quantum-classical correspondence in the hydrogen atom in weak
... In this work we show that the accuracy of the classical results does indeed rest on a particularly direct connection between classical and quantum predictions, and we demonstrate explicitly that in the perturbative limit the quantum expectation values of the angular momentum and the RungeLenz vector ...
... In this work we show that the accuracy of the classical results does indeed rest on a particularly direct connection between classical and quantum predictions, and we demonstrate explicitly that in the perturbative limit the quantum expectation values of the angular momentum and the RungeLenz vector ...
Phase noise in collective binary phase shift keying with Hadamard
... Binary phase shift keying (BPSK) is a well established modulation format in optical comunication [1, 2]. It employs a pair of coherent states with the same mean photon number n̄ and opposite phases + ≡ ei0 and − ≡ eiπ . In the low-power regime, when n̄ ≪ 1, its readout becomes non-trivial because of ...
... Binary phase shift keying (BPSK) is a well established modulation format in optical comunication [1, 2]. It employs a pair of coherent states with the same mean photon number n̄ and opposite phases + ≡ ei0 and − ≡ eiπ . In the low-power regime, when n̄ ≪ 1, its readout becomes non-trivial because of ...
Complexity Limitations on Quantum Computation 1 Introduction
... For the rest of the paper, we will assume that the pairing function is implicitly used whenever we have a function of two or more arguments. We can also define many interesting counting classes using GapP functions. For this paper we consider the following classes. Definition 2.3 The class PP consis ...
... For the rest of the paper, we will assume that the pairing function is implicitly used whenever we have a function of two or more arguments. We can also define many interesting counting classes using GapP functions. For this paper we consider the following classes. Definition 2.3 The class PP consis ...
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).