The Other Half of Physics
... never contradict itself, such as by saying an object exists and doesn’t exist at the same time. The computational universe paradigm implicitly raises issues of mathematical completeness and computability. Correctly identifying what the digital character of existence means for science doesn’t make th ...
... never contradict itself, such as by saying an object exists and doesn’t exist at the same time. The computational universe paradigm implicitly raises issues of mathematical completeness and computability. Correctly identifying what the digital character of existence means for science doesn’t make th ...
elastic - NUCLEAR REACTIONS VIDEO Project
... solutions of Eq. (1) for the turning points. Imaginary part of r0 (b) arises due to a possibility of the above-barrier reflection of an incoming wave and due to imaginary part of the OM potential. As a result, we have to use not a very simple complex trajectory approach for adequate description of t ...
... solutions of Eq. (1) for the turning points. Imaginary part of r0 (b) arises due to a possibility of the above-barrier reflection of an incoming wave and due to imaginary part of the OM potential. As a result, we have to use not a very simple complex trajectory approach for adequate description of t ...
G-Complexity, Quantum Computation and Anticipatory Processes
... (and the followers) are made. The Oxford Questions (Briggs et al. 2013) quite properly undermine Feynman’s and anyone else’s optimistic view. Quantum measurement has so far failed to explain the non-quantum world, that is, “the emergence of a classical world…free of superposition and entanglement.” ...
... (and the followers) are made. The Oxford Questions (Briggs et al. 2013) quite properly undermine Feynman’s and anyone else’s optimistic view. Quantum measurement has so far failed to explain the non-quantum world, that is, “the emergence of a classical world…free of superposition and entanglement.” ...
Full Counting Statistics in a Propagating Quantum Front and
... of sufficiently large size. The results are shown in Fig. 3 for different times, plotted against the scaling variable s. One can see that the convergence to the t ! 1 limit is fast. Indeed, for t ¼ 1000, we have a nearly perfect collapse onto the scaling functions 2 ¼ TrKð1 KÞ and S given by Eq. ...
... of sufficiently large size. The results are shown in Fig. 3 for different times, plotted against the scaling variable s. One can see that the convergence to the t ! 1 limit is fast. Indeed, for t ¼ 1000, we have a nearly perfect collapse onto the scaling functions 2 ¼ TrKð1 KÞ and S given by Eq. ...
Deterministic Bell State Discrimination
... classical communications (LOCC) [9]. However, any two multipartite orthogonal states can be unequivocally distinguished through LOCC [11]. If two copies belonging to the four orthogonal Bell states are provided, LOCC can be used to distinguish them with certainty. It is not possible to discriminate, ...
... classical communications (LOCC) [9]. However, any two multipartite orthogonal states can be unequivocally distinguished through LOCC [11]. If two copies belonging to the four orthogonal Bell states are provided, LOCC can be used to distinguish them with certainty. It is not possible to discriminate, ...
Contradiction of quantum mechanics with local hidden variables for
... for the probability of obtaining results x and p for position and momentum 共and various linear combinations of these coordinates兲 cannot be predicted by any local hidden variable theory. This result is of fundamental interest since the original argument 关1兴 of Einstein, Podolsky, and Rosen was given ...
... for the probability of obtaining results x and p for position and momentum 共and various linear combinations of these coordinates兲 cannot be predicted by any local hidden variable theory. This result is of fundamental interest since the original argument 关1兴 of Einstein, Podolsky, and Rosen was given ...
Properties of the Von Neumann entropy
... The message can be compressed to a Hilbert space of nS(ρ) dimensions, without decreasing the fidelity of the message. So the Von Neumann entropy can be seen as the number of qubits of quantum information carried per letter by the message. Analogous to the classical case, when ρ = 1 2 1, the (complet ...
... The message can be compressed to a Hilbert space of nS(ρ) dimensions, without decreasing the fidelity of the message. So the Von Neumann entropy can be seen as the number of qubits of quantum information carried per letter by the message. Analogous to the classical case, when ρ = 1 2 1, the (complet ...
Foundations of Quantum Mechanics - damtp
... These may still be degenerate. However we can in principle remove this degeneracy by adding more commuting operators until each state is uniquely labeled by the eigenvalues of each common eigenvector. This set of operators is called a complete commuting set. This isn’t so odd: for a single particle ...
... These may still be degenerate. However we can in principle remove this degeneracy by adding more commuting operators until each state is uniquely labeled by the eigenvalues of each common eigenvector. This set of operators is called a complete commuting set. This isn’t so odd: for a single particle ...
Isometric and unitary phase operators: explaining the Villain transform
... approach {(7), equations (15) and (16)}. It turns out, however, that in the quantum spin context these phases have a natural physical interpretation in terms of the so-called Villain transform [8]. In contrast to the photon case, the unitary phases are inadequate to describe the physics of the syste ...
... approach {(7), equations (15) and (16)}. It turns out, however, that in the quantum spin context these phases have a natural physical interpretation in terms of the so-called Villain transform [8]. In contrast to the photon case, the unitary phases are inadequate to describe the physics of the syste ...
Bell`s Theorem
... time Bohm had finished the book Einstein had convinced him that Quantum Mechanics was at least incomplete. Bohm then spent many years in search of hidden variables, unobserved factors inside, say, a radioactive atom that determines when it is going to decay. In a hidden variable theory, the time for ...
... time Bohm had finished the book Einstein had convinced him that Quantum Mechanics was at least incomplete. Bohm then spent many years in search of hidden variables, unobserved factors inside, say, a radioactive atom that determines when it is going to decay. In a hidden variable theory, the time for ...
Influence of measurements on the statistics of work performed on a
... Eq. (1) remains unchanged, additional measurements affect the values of the individual work pdfs. One must expect that, in a driven-measured quantum system, the work done is not only determined by the interaction with the manipulated external field λ, but also by the measurements themselves, which a ...
... Eq. (1) remains unchanged, additional measurements affect the values of the individual work pdfs. One must expect that, in a driven-measured quantum system, the work done is not only determined by the interaction with the manipulated external field λ, but also by the measurements themselves, which a ...
Objectives Chapter 4 Objectives, continued Chapter 4 Bohr Model of
... The Schrödinger Wave Equation • In 1926, Austrian physicist Erwin Schrödinger developed an equation that treated electrons in atoms as waves. • Together with the Heisenberg uncertainty principle, the Schrödinger wave equation laid the foundation for modern quantum theory. • Quantum theory describes ...
... The Schrödinger Wave Equation • In 1926, Austrian physicist Erwin Schrödinger developed an equation that treated electrons in atoms as waves. • Together with the Heisenberg uncertainty principle, the Schrödinger wave equation laid the foundation for modern quantum theory. • Quantum theory describes ...
Quantum approach to Image processing
... Measurement according to the rules of Quantum Mechanics is a non-trivial and highly counter-intuitive process. Firstly, it must be said that the measurement results taken from a quantum system are inherently of a probabilistic nature. In other words, regardless of the carefulness in the preparation ...
... Measurement according to the rules of Quantum Mechanics is a non-trivial and highly counter-intuitive process. Firstly, it must be said that the measurement results taken from a quantum system are inherently of a probabilistic nature. In other words, regardless of the carefulness in the preparation ...
Forays into Relativistic Quantum Information Science:
... Modest results/observations from our foray: 1. Computation of explicit Wigner rotations for massive particles 2. Explicit unitary rep. of Lorentz group and its generators 3. Definition, and behaviour of Bell States under arbitrary Lorentz trans. 4. Definition, and applications of Lorentz covariant r ...
... Modest results/observations from our foray: 1. Computation of explicit Wigner rotations for massive particles 2. Explicit unitary rep. of Lorentz group and its generators 3. Definition, and behaviour of Bell States under arbitrary Lorentz trans. 4. Definition, and applications of Lorentz covariant r ...
Quantum spin systems from the perspective of quantum information
... • Alternatively, the ground state can be found by imaginary time evolution on a pure 2-D PEPS – This can be implemented by Trotterization; the crucial ingredient is again the variational dimensional reduction; the computational cost scales linearly in the number of spins: D10 – The same algorithm c ...
... • Alternatively, the ground state can be found by imaginary time evolution on a pure 2-D PEPS – This can be implemented by Trotterization; the crucial ingredient is again the variational dimensional reduction; the computational cost scales linearly in the number of spins: D10 – The same algorithm c ...
Magneto-optical properties of charged excitons in quantum dots
... netic shift takes the form ␣ ⫽ ␣ SP⫹ ␣ C where SP 共C兲 refers to the single-particle 共Coulomb兲 contributions. We take ␣ SP from the standard Fock-Darwin spectrum14 and we calculate ␣ C for each charge state using an appropriate combination of Coulomb energy matrix elements.15 Results are plotted in F ...
... netic shift takes the form ␣ ⫽ ␣ SP⫹ ␣ C where SP 共C兲 refers to the single-particle 共Coulomb兲 contributions. We take ␣ SP from the standard Fock-Darwin spectrum14 and we calculate ␣ C for each charge state using an appropriate combination of Coulomb energy matrix elements.15 Results are plotted in F ...
Paradox in Wave-Particle Duality
... horizontal axis, and a and b are constants.(25) Near the center of the interference pattern the term that contains the Bessel function is nearly 1, and the cos2 (bx) term is the dominant factor in the formula. By expanding the cos2 (bx) term the irradiance near a dark fringe is given by I = Io b2 s ...
... horizontal axis, and a and b are constants.(25) Near the center of the interference pattern the term that contains the Bessel function is nearly 1, and the cos2 (bx) term is the dominant factor in the formula. By expanding the cos2 (bx) term the irradiance near a dark fringe is given by I = Io b2 s ...
Lecture Notes and Solved Problems
... throughout the 19th century convinced some foolhardy physicists that all the fundamental aspects of physics were already well understood, and there was nothing new (in a fundamental sense) left to discover. A notorious example of this variety of hubris is the following pronouncement of A.A. Michelso ...
... throughout the 19th century convinced some foolhardy physicists that all the fundamental aspects of physics were already well understood, and there was nothing new (in a fundamental sense) left to discover. A notorious example of this variety of hubris is the following pronouncement of A.A. Michelso ...
View paper - UT Mathematics
... heuristically and perturbatively. After the work of Bethe and Welton, perturbative calculations of the Lamb shift using relativistic QED with prescription of renormalizations have been made, giving amazingly good agreements with the experimental result (see, e.g., [13]). However a mathematically rig ...
... heuristically and perturbatively. After the work of Bethe and Welton, perturbative calculations of the Lamb shift using relativistic QED with prescription of renormalizations have been made, giving amazingly good agreements with the experimental result (see, e.g., [13]). However a mathematically rig ...