hal.archives-ouvertes.fr - HAL Obspm
... 2. General setting: quantum processing of a measure space In this section, we present the method of quantization we will apply in the sequel to a simple model, for instance the motion of a particle on the line, or more generally a system with one degree of freedom. The method, which is based on cohe ...
... 2. General setting: quantum processing of a measure space In this section, we present the method of quantization we will apply in the sequel to a simple model, for instance the motion of a particle on the line, or more generally a system with one degree of freedom. The method, which is based on cohe ...
Introducing categories to the practicing physicist
... for some special isomorphisms’ with respect to the operation ‘combining systems’ are physically so evidently true that they almost seem redundant. (but as we will see further they do have major implications) Bifunctoriality. ...
... for some special isomorphisms’ with respect to the operation ‘combining systems’ are physically so evidently true that they almost seem redundant. (but as we will see further they do have major implications) Bifunctoriality. ...
Multilinear Formulas and Skepticism of Quantum
... (A): QC’s can’t be built for fundamental reason—Levin’s arguments (1) Analogy to unit-cost arithmetic model (2) Error-correction and fault-tolerance address only relative error in amplitudes, not absolute (3) “We have never seen a physical law valid to over a dozen decimals” (4) If a quantum comput ...
... (A): QC’s can’t be built for fundamental reason—Levin’s arguments (1) Analogy to unit-cost arithmetic model (2) Error-correction and fault-tolerance address only relative error in amplitudes, not absolute (3) “We have never seen a physical law valid to over a dozen decimals” (4) If a quantum comput ...
... observed number of stationary states for an electron in an atom being twice the number given by the theory. To meet the difficulty, Goudsmit and Uhlenbeck have introduced the idea of an electron with a spin angular momentum of half a quantum and a magnetic moment of one Bohr magneton. This model for ...
Spacetime is built by Quantum Entanglement
... This is analogous to diagnosing conditions inside of your body by looking at X-ray images on twodimensional sheets. This allowed them to interpret universal properties of quantum entanglement as conditions on the energy density that should be satisfied by any consistent quantum theory of gravity, w ...
... This is analogous to diagnosing conditions inside of your body by looking at X-ray images on twodimensional sheets. This allowed them to interpret universal properties of quantum entanglement as conditions on the energy density that should be satisfied by any consistent quantum theory of gravity, w ...
Quantum tunneling of electrons across germanium atoms
... their effectiveness over the transistors currently used in microprocessors. What Pati and his team looked at is the quantum physics driving their superior performance. Quantum Tunneling The electrical current between source and drain in a nanowire FET cannot be understood using classical physics. Th ...
... their effectiveness over the transistors currently used in microprocessors. What Pati and his team looked at is the quantum physics driving their superior performance. Quantum Tunneling The electrical current between source and drain in a nanowire FET cannot be understood using classical physics. Th ...
lowdin`s remarks on the aufbau principle and a philosopher`s view of
... has also provided a fundamental explanation of the periodic system of the elements which summarizes a vast amount of empirical chemical knowledge. Quantum Mechanics has become increasingly important in the education of chemistry students. The general principles provided by the theory mean that stude ...
... has also provided a fundamental explanation of the periodic system of the elements which summarizes a vast amount of empirical chemical knowledge. Quantum Mechanics has become increasingly important in the education of chemistry students. The general principles provided by the theory mean that stude ...
wave function
... Some experiments are best explained by the photon model Some are best explained by the wave model The nature of light is not describable in terms of any single classical model Light has a dual nature in that it exhibits both wave and particle characteristics The particle model and the wave model of ...
... Some experiments are best explained by the photon model Some are best explained by the wave model The nature of light is not describable in terms of any single classical model Light has a dual nature in that it exhibits both wave and particle characteristics The particle model and the wave model of ...
Coupled Quantum– Atomistic and Quantum–Continuum Mechanics
... functional theory (OFDFT),30 which scales linearly with size, as opposed to traditional Kohn–Sham density functional theory (KSDFT), which scales cubically. For metals, OFDFT is 3–5 orders of magnitude faster than KSDFT. Their findings on the onset of dislocation emission—reported in terms of the nu ...
... functional theory (OFDFT),30 which scales linearly with size, as opposed to traditional Kohn–Sham density functional theory (KSDFT), which scales cubically. For metals, OFDFT is 3–5 orders of magnitude faster than KSDFT. Their findings on the onset of dislocation emission—reported in terms of the nu ...
PDF
... capable of revealing novel, fundamental aspects related to extended symmetries and quantum dynamics through a detailed analysis of the variable geometry of (quantum) operator algebra state spaces. At the center stage of non-Abelian algebraic topology are groupoid and algebroid structures with their ...
... capable of revealing novel, fundamental aspects related to extended symmetries and quantum dynamics through a detailed analysis of the variable geometry of (quantum) operator algebra state spaces. At the center stage of non-Abelian algebraic topology are groupoid and algebroid structures with their ...
Second Order Refinements for the Classical Capacity of Quantum
... One of the landmark achievements in quantum information theory is the derivation of the coding theorem for sending classical information over a noisy quantum channel by Holevo [10], and independently by SchumacherWestmoreland [16]: the so-called HSW theorem. These results establish that the classica ...
... One of the landmark achievements in quantum information theory is the derivation of the coding theorem for sending classical information over a noisy quantum channel by Holevo [10], and independently by SchumacherWestmoreland [16]: the so-called HSW theorem. These results establish that the classica ...
A short course on Quantum Mechanics and its Geometry
... no longer valid: quantum objects are neither particles nor waves, even if they might look as if behaving like a particle or like a wave in some circumstances, and they have to be described in terms of a new set of principles [12]. It is possible to recognise the consequences of this duality principl ...
... no longer valid: quantum objects are neither particles nor waves, even if they might look as if behaving like a particle or like a wave in some circumstances, and they have to be described in terms of a new set of principles [12]. It is possible to recognise the consequences of this duality principl ...
talk
... This would be a local theory with hidden variables, and quantum mechanics might be considered as an averaged version of the deeper theory. Analogy: Statistical thermodynamics is the underlying theory of phenomenological thermodynamics. The positions and momenta of a huge number of particles are the ...
... This would be a local theory with hidden variables, and quantum mechanics might be considered as an averaged version of the deeper theory. Analogy: Statistical thermodynamics is the underlying theory of phenomenological thermodynamics. The positions and momenta of a huge number of particles are the ...
Document
... The current flow depends on the following: 1. Available particles in the left or right well. 2. Corresponding eigenstates in the channel. 3. The escape rate 1 / corresponding to the energy of the particle crossing the channel. ...
... The current flow depends on the following: 1. Available particles in the left or right well. 2. Corresponding eigenstates in the channel. 3. The escape rate 1 / corresponding to the energy of the particle crossing the channel. ...
C.3 Quantum circuits - UTK-EECS
... What happens if Uf is applied to input which is in a superposition? The answer is easy but powerful: since Uf is a linear transformation, it is applied to all basis vectors in the superposition simultaneously and will generate a superposition of the results. In this way, it is possible to compute f ...
... What happens if Uf is applied to input which is in a superposition? The answer is easy but powerful: since Uf is a linear transformation, it is applied to all basis vectors in the superposition simultaneously and will generate a superposition of the results. In this way, it is possible to compute f ...
6 Entanglement
... With this source another loophole was closed in Zeilinger’s experiment: One remaining problem in Aspect’s experiment was that the position of the polarizers was changed periodically and thus in a predictable way. The experiment performed by the group of Zeilinger used two detectors for analysis of t ...
... With this source another loophole was closed in Zeilinger’s experiment: One remaining problem in Aspect’s experiment was that the position of the polarizers was changed periodically and thus in a predictable way. The experiment performed by the group of Zeilinger used two detectors for analysis of t ...
Atomic Emission Spectra – Copy
... • Werner Heisenberg came along and concluded that it is impossible to make any measurement on an object without disturbing the object. It is fundamentally impossible to know precisely both the velocity and position of a particle at the same time. • In other words, the light used to measure the parti ...
... • Werner Heisenberg came along and concluded that it is impossible to make any measurement on an object without disturbing the object. It is fundamentally impossible to know precisely both the velocity and position of a particle at the same time. • In other words, the light used to measure the parti ...
Quantum Entanglement and the Geometry of Spacetime
... How general is the area-entropy relation? What is its origin? A clue: Holographic entanglement entropy (Ryu-Takayanagi ’06) Vast—but also limited—generalization of Bekenstein-Hawking To understand it, we first need to extend our notion of entropy… ...
... How general is the area-entropy relation? What is its origin? A clue: Holographic entanglement entropy (Ryu-Takayanagi ’06) Vast—but also limited—generalization of Bekenstein-Hawking To understand it, we first need to extend our notion of entropy… ...