The Physical World as a Virtual Reality
... from invisible fields in empty space to satisfy equations about imaginary quantities. Physics stopped trying to make sense of its findings some time ago, and the effects are evident: “How unusual it is for three decades to pass without major progress in fundamental physics? Even if we look back more ...
... from invisible fields in empty space to satisfy equations about imaginary quantities. Physics stopped trying to make sense of its findings some time ago, and the effects are evident: “How unusual it is for three decades to pass without major progress in fundamental physics? Even if we look back more ...
5. Quantum Field Theory (QFT) — QED Quantum Electrodynamics
... final state antiparticle, going into the future, but fermion-arrow enters the diagram ...
... final state antiparticle, going into the future, but fermion-arrow enters the diagram ...
THE MINIMUM-UNCERTAINTY SQUEEZED STATES FOR ATOMS
... The purpose of this paper is to construct the minimum-uncertainty squeezed states for quantum harmonic oscillators, which are important in these applications, in the most simple closed form. Our approach reveals the quantum numbers/integrals of motion of the squeezed states in terms of solution of c ...
... The purpose of this paper is to construct the minimum-uncertainty squeezed states for quantum harmonic oscillators, which are important in these applications, in the most simple closed form. Our approach reveals the quantum numbers/integrals of motion of the squeezed states in terms of solution of c ...
slides on Quantum Isometry Groups
... smooth and isometric action. Moreover, a smooth map γ on M is a Riemannian isometry if and only if the induced map f 7→ f ◦ γ on C ∞ (M) commutes with the Laplacian −d ∗ d. Under reasonable regularity conditions on a (compact type, Θ-summable) spectral triple (A∞ , H, D), one has analogues of Hilber ...
... smooth and isometric action. Moreover, a smooth map γ on M is a Riemannian isometry if and only if the induced map f 7→ f ◦ γ on C ∞ (M) commutes with the Laplacian −d ∗ d. Under reasonable regularity conditions on a (compact type, Θ-summable) spectral triple (A∞ , H, D), one has analogues of Hilber ...
Quantum Theory of Hydrogen
... the one above, we like to see if we can "separate" the variables; i.e., "split" the equation into different parts, with only one variable in each part. Our problem will be much simplified IF we can write ...
... the one above, we like to see if we can "separate" the variables; i.e., "split" the equation into different parts, with only one variable in each part. Our problem will be much simplified IF we can write ...
Finding a Better-than-Classical Quantum AND/OR Algorithm using
... quantum computation. Over the course of our work we have used several different sets of quantum gates. Our current system uses the following gates which can be presented in simple matrix form, along with ORACLE and MEASUREMENT gates that are described below. Parameters listed in square brackets (“[] ...
... quantum computation. Over the course of our work we have used several different sets of quantum gates. Our current system uses the following gates which can be presented in simple matrix form, along with ORACLE and MEASUREMENT gates that are described below. Parameters listed in square brackets (“[] ...
Full Counting Statistics in a Propagating Quantum Front and
... become accessible in a number of experiments on tunnel junctions [4,5], quantum dots [6,7], and quantum point contacts [8]. The FCS has also been proposed as a tool to extract the entanglement entropy [9] in terms of the measured cumulants [10–12]. Theoretically, the FCS is best understood for the t ...
... become accessible in a number of experiments on tunnel junctions [4,5], quantum dots [6,7], and quantum point contacts [8]. The FCS has also been proposed as a tool to extract the entanglement entropy [9] in terms of the measured cumulants [10–12]. Theoretically, the FCS is best understood for the t ...
Document
... precision Δp, then the product of the two uncertainties can never be smaller than h/4 ...
... precision Δp, then the product of the two uncertainties can never be smaller than h/4 ...
Relations between Massive and Massless one
... A massive particle with spin j has 2j+1 one-particle states, such as the spin 3/2 9Be’s nuclei, whose magnetic quantum numbers are 3/2, 1/2, -1/2, -3/2. However, it is different about a particle with mass zero (for example photon). Photons’ helicity has only two values: 1,-1. Helicity zero is forbid ...
... A massive particle with spin j has 2j+1 one-particle states, such as the spin 3/2 9Be’s nuclei, whose magnetic quantum numbers are 3/2, 1/2, -1/2, -3/2. However, it is different about a particle with mass zero (for example photon). Photons’ helicity has only two values: 1,-1. Helicity zero is forbid ...
Degradable Quantum Channels - Quantum Theory Group at CMU
... additive for (same or different) degradable channels (arXiv:0705.3838v1, Lemma 4). • The quantum capacity is not additive, and not convex. ...
... additive for (same or different) degradable channels (arXiv:0705.3838v1, Lemma 4). • The quantum capacity is not additive, and not convex. ...
Quantum State Reconstruction From Incomplete Data
... Stochastic evolution of the system qubit S interacting with a reservoir of 100 qubits. The figure shows one particular stochastic evolution of the system S (red line), the deterministic evolution of the system S (blue line) and the average over 1000 different stochastic evolutions of the system S (p ...
... Stochastic evolution of the system qubit S interacting with a reservoir of 100 qubits. The figure shows one particular stochastic evolution of the system S (red line), the deterministic evolution of the system S (blue line) and the average over 1000 different stochastic evolutions of the system S (p ...