Quantum computers
... The superposition principle • The superposition principle states that if a quantum system can be in one of k states, it can also be placed in a linear superposition of these states with complex coefficients • Ways to think about superposition – Electron cannot decide in which state it is – Electron ...
... The superposition principle • The superposition principle states that if a quantum system can be in one of k states, it can also be placed in a linear superposition of these states with complex coefficients • Ways to think about superposition – Electron cannot decide in which state it is – Electron ...
Perturbation Theory for Quasidegenerate System in Quantum
... states are degenerate or not. For a degenerate case, general solutions were obtained for both the standard non-Hermitian and Hermitian forms. 2 ) A central concern of this work is to extend the theory in Refs. 1) and 2) to the case that unperturbed energies of model-space states are not degenerate b ...
... states are degenerate or not. For a degenerate case, general solutions were obtained for both the standard non-Hermitian and Hermitian forms. 2 ) A central concern of this work is to extend the theory in Refs. 1) and 2) to the case that unperturbed energies of model-space states are not degenerate b ...
Decoherence - Center for Ultracold Atoms
... quantum computing. Our three recent experiments on decoherence test various scaling laws and provide new insight on wave-particle duality. We studied decoherence in a system which is simple enough that the measured decoherence rate constant can be compared with ab initio calculations [KRC01] for the ...
... quantum computing. Our three recent experiments on decoherence test various scaling laws and provide new insight on wave-particle duality. We studied decoherence in a system which is simple enough that the measured decoherence rate constant can be compared with ab initio calculations [KRC01] for the ...
Relative phase of two Bose
... that have never ‘‘seen’’ one another possess a definite relative phase? As pointed out in @4#, the question is meaningless as long as no measurement is performed on the system. J. Javanainen and S. M. Yoo recently addressed a similar question by considering the spatial interferences of two condensat ...
... that have never ‘‘seen’’ one another possess a definite relative phase? As pointed out in @4#, the question is meaningless as long as no measurement is performed on the system. J. Javanainen and S. M. Yoo recently addressed a similar question by considering the spatial interferences of two condensat ...
Mathematics of Quantum Mechanics
... any given time. Werner Heisenberg’s uncertainty principle, or the Copenhagen interpretation of quantum mechanics, encapsulates this idea: One can never know with perfect accuracy both of those two important factors which determine the movement of one of the smallest particles—its position and its ve ...
... any given time. Werner Heisenberg’s uncertainty principle, or the Copenhagen interpretation of quantum mechanics, encapsulates this idea: One can never know with perfect accuracy both of those two important factors which determine the movement of one of the smallest particles—its position and its ve ...
41-60 - New Theoretical Physics by James A. Putnam
... We know space is there because we measure distances in it. We cannot define a measurement of distance as occurring across nothing, so there must be something. This new theory makes no claim to predict physical properties for space other than to say it exists and gives us room to move about. In the a ...
... We know space is there because we measure distances in it. We cannot define a measurement of distance as occurring across nothing, so there must be something. This new theory makes no claim to predict physical properties for space other than to say it exists and gives us room to move about. In the a ...
Implementation of a quantum algorithm on a nuclear magnetic
... In 1982 Feynman pointed out that it appears to be impossible to efficiently simulate the behavior of a quantum mechanical system with a computer.1 This problem arises because the quantum system is not confined to its eigenstates, but can exist in any superposition of them, and so the space needed to ...
... In 1982 Feynman pointed out that it appears to be impossible to efficiently simulate the behavior of a quantum mechanical system with a computer.1 This problem arises because the quantum system is not confined to its eigenstates, but can exist in any superposition of them, and so the space needed to ...
Quantum computation, non-demolition measurements, and reflective
... of the observed world so different IQS should exist as immersed into the total whole reality. The monads have no windows, according to Leibniz, but they are synchronized via a harmonic objectivation based on the uniformity of fundamental constants. This synchronization is achieved at certain values ...
... of the observed world so different IQS should exist as immersed into the total whole reality. The monads have no windows, according to Leibniz, but they are synchronized via a harmonic objectivation based on the uniformity of fundamental constants. This synchronization is achieved at certain values ...
Basics of Information Processing Don H. Johnson
... collection of parameters (a parameter vector). The parameter value could be the information itself or it could indicate what the information is (serve as an index). When the parameter value is one of several values of a finite set, the signal processing approach is classification: optimally classify ...
... collection of parameters (a parameter vector). The parameter value could be the information itself or it could indicate what the information is (serve as an index). When the parameter value is one of several values of a finite set, the signal processing approach is classification: optimally classify ...
Electron Charge and Mass I
... distance from the central axis of the Helmholtz pair to the point of interest. Note that in each case the field is normalized to the value at s = 0. Note that because our electrons travel in a circle starting from the accelerating electrode (which has a fixed position), these orbits are not at a con ...
... distance from the central axis of the Helmholtz pair to the point of interest. Note that in each case the field is normalized to the value at s = 0. Note that because our electrons travel in a circle starting from the accelerating electrode (which has a fixed position), these orbits are not at a con ...
1. The Dirac Equation
... equation. Though it is theoretically sound from the perspective that it is consistent with both classical quantum mechanics and the special theory of relativity, it has several unsavory features which keep it from being a very powerful tool in relativistic quantum mechanics. Dirac later developed hi ...
... equation. Though it is theoretically sound from the perspective that it is consistent with both classical quantum mechanics and the special theory of relativity, it has several unsavory features which keep it from being a very powerful tool in relativistic quantum mechanics. Dirac later developed hi ...
Fault-tolerant quantum computation
... where we don’t use some of the k qubits encoded in the code block. These unused qubits are called “gauge qubits” --- we don’t care about their quantum state and we don’t have to correct their errors. Choosing not to correct the gauge qubits can be surprisingly useful. For one thing, we are free to m ...
... where we don’t use some of the k qubits encoded in the code block. These unused qubits are called “gauge qubits” --- we don’t care about their quantum state and we don’t have to correct their errors. Choosing not to correct the gauge qubits can be surprisingly useful. For one thing, we are free to m ...
Quantum Wires and Quantum Point Contacts
... contacts, then the potential difference between the edges is just the same as between the longitudinal contacts. Then each channel contributes to the “Hall” current as an ideal ballistic quantum wire. ...
... contacts, then the potential difference between the edges is just the same as between the longitudinal contacts. Then each channel contributes to the “Hall” current as an ideal ballistic quantum wire. ...
On the importance of parallelism for quantum computation and the
... some of the information originally encapsulated in the entangled state is irremediably lost. Consequently, measuring the second qubit cannot give a complete separation of the four EPR states. But the Bell states do form an orthonormal basis, which means that (at least theoretically) they can be dist ...
... some of the information originally encapsulated in the entangled state is irremediably lost. Consequently, measuring the second qubit cannot give a complete separation of the four EPR states. But the Bell states do form an orthonormal basis, which means that (at least theoretically) they can be dist ...
Exploring a Classical Model of the Helium Atom
... seen the autoionization of one of the electrons via a chaotic transient. Here, the "autoionization" is defined as the escape of an electron to infinity. Ionization is obtained through observation of each electron's energy. We define ionization as the condition in which one of the electrons maintains ...
... seen the autoionization of one of the electrons via a chaotic transient. Here, the "autoionization" is defined as the escape of an electron to infinity. Ionization is obtained through observation of each electron's energy. We define ionization as the condition in which one of the electrons maintains ...
Quantum electrodynamics
In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and special relativity is achieved. QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction.In technical terms, QED can be described as a perturbation theory of the electromagnetic quantum vacuum. Richard Feynman called it ""the jewel of physics"" for its extremely accurate predictions of quantities like the anomalous magnetic moment of the electron and the Lamb shift of the energy levels of hydrogen.