Introduction to Quantum Information
... It was Claude Shannon (1916–2001) who solved this problem and, by using it to devise his two coding theorems, founded information theory (Shannon 1948). Perhaps I can give an indication of the magnitude of Shannon’s achievement by relating that the title of his paper was A Mathematical Theory of Com ...
... It was Claude Shannon (1916–2001) who solved this problem and, by using it to devise his two coding theorems, founded information theory (Shannon 1948). Perhaps I can give an indication of the magnitude of Shannon’s achievement by relating that the title of his paper was A Mathematical Theory of Com ...
Coherence of atomic matter-wave fields - IAP TU
... fields, and in particular for atomic de Broglie waves. This is because atomic detectors can work in a number of different ways: For instance, one can choose to measure electronic properties of the atoms, or center-of-mass properties, or both. Measurements may or may not remove atoms from the field, ...
... fields, and in particular for atomic de Broglie waves. This is because atomic detectors can work in a number of different ways: For instance, one can choose to measure electronic properties of the atoms, or center-of-mass properties, or both. Measurements may or may not remove atoms from the field, ...
Polynomial-Time Algorithms for Prime Factorization and Discrete
... Two number theory problems which have been studied extensively but for which no polynomial-time algorithms have yet been discovered are finding discrete logarithms and factoring integers [Pomerance 1987, Gordon 1993, Lenstra and Lenstra 1993, Adleman and McCurley 1994]. These problems are so widely ...
... Two number theory problems which have been studied extensively but for which no polynomial-time algorithms have yet been discovered are finding discrete logarithms and factoring integers [Pomerance 1987, Gordon 1993, Lenstra and Lenstra 1993, Adleman and McCurley 1994]. These problems are so widely ...
Phys. Rev. Lett. 104, 255303
... giving the Goldstone mode resulting from the broken phase rotation symmetry. This mode has linear dispersion near k ¼ 0, with phonon velocity independent of the direction of k, while the remaining q2 1 modes have a nonzero gap and quadratic dispersion. Figure 1 shows the dispersions k for ¼ 13 ...
... giving the Goldstone mode resulting from the broken phase rotation symmetry. This mode has linear dispersion near k ¼ 0, with phonon velocity independent of the direction of k, while the remaining q2 1 modes have a nonzero gap and quadratic dispersion. Figure 1 shows the dispersions k for ¼ 13 ...
7th Workshop on Quantum Chaos and Localisation Phenomena
... tools to make predictions of macroscopic many-particle systems independent of detailed microscopic processes governing their properties. In the recent trend towards smaller systems, which deviate strongly from the thermodynamic limit, fluctuations departing from the equilibrium state often become pr ...
... tools to make predictions of macroscopic many-particle systems independent of detailed microscopic processes governing their properties. In the recent trend towards smaller systems, which deviate strongly from the thermodynamic limit, fluctuations departing from the equilibrium state often become pr ...
Relative Absolute What does relative vs. absolute size mean? Why
... Copyright – Michael D. Fayer, 2012 ...
... Copyright – Michael D. Fayer, 2012 ...
Edge states and integer quantum Hall effect in topological insulator
... recently the integer quantum Hall effect has been measured in three-dimensional topological insulator thin films by two independent groups37,38. One group measured a series of plateaux of v = − 1, 0, 1, 2, 3 and v = 1, 3 in BiSbTeSe237, and the other measured the plateaux of v = 0, ± 1 in (Bi1−xS ...
... recently the integer quantum Hall effect has been measured in three-dimensional topological insulator thin films by two independent groups37,38. One group measured a series of plateaux of v = − 1, 0, 1, 2, 3 and v = 1, 3 in BiSbTeSe237, and the other measured the plateaux of v = 0, ± 1 in (Bi1−xS ...
量子力學發展史
... electrons are incident on a double slit The slit widths are small compared to the electron wavelength An electron detector is positioned far from the slits at a distance much greater than the slit separation ...
... electrons are incident on a double slit The slit widths are small compared to the electron wavelength An electron detector is positioned far from the slits at a distance much greater than the slit separation ...
ACTION AT A DISTANCE AND COSMOLOGY: A Historical
... relies on the concept of action at a distance. The success of this law led to the concept being applied to electricity and magnetism, which were next to be explored in depth. Here the action at a distance had a limited success and ultimately had to be abandoned in favor of the increasingly more popu ...
... relies on the concept of action at a distance. The success of this law led to the concept being applied to electricity and magnetism, which were next to be explored in depth. Here the action at a distance had a limited success and ultimately had to be abandoned in favor of the increasingly more popu ...
Hydrogen and the Central Force Problem
... V (x1 , x2 ) = V1 (x1 ) + V2 (x2 ) since we just have a diffiQ in x1 added to a diffiQ in x2 . This would be the situation if particle 1 and 2 moved in external potentials but felt no mutual interaction. In the case of positronium, we usually have the opposite problem of zero external potential but the ...
... V (x1 , x2 ) = V1 (x1 ) + V2 (x2 ) since we just have a diffiQ in x1 added to a diffiQ in x2 . This would be the situation if particle 1 and 2 moved in external potentials but felt no mutual interaction. In the case of positronium, we usually have the opposite problem of zero external potential but the ...
Matthew Neeley, , 722 (2009); DOI: 10.1126/science.1173440
... This parity difference leads to the symmetric statistics of bosons (or antisymmetric statistics of fermions) under exchange, as described by the spin-statistics theorem (14, 15). The effect of 2p-rotations was first observed on spins s = 1/2 via neutron interferometry (16, 17) and later for s = 1 an ...
... This parity difference leads to the symmetric statistics of bosons (or antisymmetric statistics of fermions) under exchange, as described by the spin-statistics theorem (14, 15). The effect of 2p-rotations was first observed on spins s = 1/2 via neutron interferometry (16, 17) and later for s = 1 an ...
Quantum Mechanical Modelling and Optical Spectroscopy of
... When dealing with particles on the atomic scale it is impossible to describe, with precision, events including position, momentum and energy. Therefore we speak instead of expectation values. The uncertainty ingrained in quantum theory describes the probabilistic nature of events involving these par ...
... When dealing with particles on the atomic scale it is impossible to describe, with precision, events including position, momentum and energy. Therefore we speak instead of expectation values. The uncertainty ingrained in quantum theory describes the probabilistic nature of events involving these par ...
Quantum Emission from Two
... description requires computation of states and correlation functions, etc., by means such as the Bogoliubov transformation. There are other motivations for investigating this model under the precepts of quantum field theory in curved space time. One is to elucidate the connection between the convent ...
... description requires computation of states and correlation functions, etc., by means such as the Bogoliubov transformation. There are other motivations for investigating this model under the precepts of quantum field theory in curved space time. One is to elucidate the connection between the convent ...
stringcos2012-final Jae Weon Lee
... Proof by contradition 1) Assume there is no entanglement in the bulk 2) All possible states are product states B1 B2 ...
... Proof by contradition 1) Assume there is no entanglement in the bulk 2) All possible states are product states B1 B2 ...
STRONG-FIELD PHENOMENA IN ATOMS QUASICLASSICAL
... where Cn are some unknown constants. It should be noted that Eq. (14) is derived under the assumption that there is no interaction between the quasi-energy level γ and any lower lying levels with quasi-energies γ- nω. This simplifying assumption can be valid if ω is not too large (though is much sma ...
... where Cn are some unknown constants. It should be noted that Eq. (14) is derived under the assumption that there is no interaction between the quasi-energy level γ and any lower lying levels with quasi-energies γ- nω. This simplifying assumption can be valid if ω is not too large (though is much sma ...
Document
... lowered the current takes off and attains a constant, field-independent value down to vanishing field strength (non-Ohmic law) (Fig. 1). On the other hand, for a given field strength value, at high enough temperatures the non-Ohmic electric current does not vary appreciably, as it occurs with an Oh ...
... lowered the current takes off and attains a constant, field-independent value down to vanishing field strength (non-Ohmic law) (Fig. 1). On the other hand, for a given field strength value, at high enough temperatures the non-Ohmic electric current does not vary appreciably, as it occurs with an Oh ...
Statistical Physics (PHY831), Part 2-Exact results and solvable models
... The most basic problem in statistical mechanics of quantum systems is where we have a system with a known set of single particle energy levels. Given this set of energy levels, we would like to know the behavior of the system. There are many possible cases, including non-relativistic and relativisti ...
... The most basic problem in statistical mechanics of quantum systems is where we have a system with a known set of single particle energy levels. Given this set of energy levels, we would like to know the behavior of the system. There are many possible cases, including non-relativistic and relativisti ...
