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... been almost exclusively the theory of elliptic and theta functions, and of modular forms, that has been used to derive results on this problem. This latter approach is motivated by the observation that f (q) is in fact a (specialized) Jacobi theta function, namely ϑ3 (0, −q). Thus, a heavy and well- ...
... been almost exclusively the theory of elliptic and theta functions, and of modular forms, that has been used to derive results on this problem. This latter approach is motivated by the observation that f (q) is in fact a (specialized) Jacobi theta function, namely ϑ3 (0, −q). Thus, a heavy and well- ...
A Critique of Pure String Theory: Heterodox Opinions of Diverse
... , this limiting theory must be SUSic and have no moduli. The combination of these two properties and the general structure of SUSic theories imply that it must be four dimensional, with only N = 1 SUSY, and have an exact complex R symmetry2 . This puts strong constraints on the low energy effective ...
... , this limiting theory must be SUSic and have no moduli. The combination of these two properties and the general structure of SUSic theories imply that it must be four dimensional, with only N = 1 SUSY, and have an exact complex R symmetry2 . This puts strong constraints on the low energy effective ...
Untitled
... of gravity. The motivations for invoking it are mainly quantum-theoretical: an opportunity for a renormalizable theory, a better understanding of black hole entropy and perhaps even a step further along the road to a theory of everything. While there are many quantum-theoretical issues to be dealt w ...
... of gravity. The motivations for invoking it are mainly quantum-theoretical: an opportunity for a renormalizable theory, a better understanding of black hole entropy and perhaps even a step further along the road to a theory of everything. While there are many quantum-theoretical issues to be dealt w ...
One-Shot Classical Data Compression with Quantum Side
... The paper is organized as follows. In the next section we describe the three tasks under consideration more concretely, give the definitions of smooth entropies as used here, and state our main results. The following section is then devoted to the proofs. Finally, we discuss some open questions and ...
... The paper is organized as follows. In the next section we describe the three tasks under consideration more concretely, give the definitions of smooth entropies as used here, and state our main results. The following section is then devoted to the proofs. Finally, we discuss some open questions and ...
STRAIGHTFORWARD DERIVATION OF MIE`S GRAVITATIONAL
... bearing a given length r at rest. Coulomb’s Force reigns between the electric charges. Suppose we assume that Coulomb’s Force is, as usual, expressed as proportional to the electric charges coming into consideration, also to 1/rn, where though we do not know, a priori the exponent n. Suppose then we ...
... bearing a given length r at rest. Coulomb’s Force reigns between the electric charges. Suppose we assume that Coulomb’s Force is, as usual, expressed as proportional to the electric charges coming into consideration, also to 1/rn, where though we do not know, a priori the exponent n. Suppose then we ...
What is quantum communication?
... losses of the channel used to transmit these quantum states. The direct approaches are limited to much less than 500 km, even under the most optimistic assumptions for technology evolution. In practice this has seen real world QKD implementations up to 150km, performed by the Geneva group in Switzer ...
... losses of the channel used to transmit these quantum states. The direct approaches are limited to much less than 500 km, even under the most optimistic assumptions for technology evolution. In practice this has seen real world QKD implementations up to 150km, performed by the Geneva group in Switzer ...
of THE by 0.
... This cut-off can be appreciated if the electron is regarded as having an extent of the order of its Compton wavelength, 0 .1The cut-off then means that all light of wavelength smaller than the size of the particle should be disregarded. ...
... This cut-off can be appreciated if the electron is regarded as having an extent of the order of its Compton wavelength, 0 .1The cut-off then means that all light of wavelength smaller than the size of the particle should be disregarded. ...
Fractional charge in the fractional quantum hall system
... linearization of the energy spectrum near the Fermi wave vector kF . 1D is a special case because there are only 2 discrete fermi surfaces (points in 1D case). The low energy excitation is only possible for fermions with wave vector k with |k − kF | ¿ 1 or |k − 2kF | ¿ 1. This indicates that as the ...
... linearization of the energy spectrum near the Fermi wave vector kF . 1D is a special case because there are only 2 discrete fermi surfaces (points in 1D case). The low energy excitation is only possible for fermions with wave vector k with |k − kF | ¿ 1 or |k − 2kF | ¿ 1. This indicates that as the ...
Quantum Mirror Symmetry for Borcea
... more than just homology to be considered in the full physical duality; for the observable physics to be the same, the quantum correlators of the two theories must also be related in some way. These correlators may be packaged into potentials, from which may be derived J-functions and I-functions res ...
... more than just homology to be considered in the full physical duality; for the observable physics to be the same, the quantum correlators of the two theories must also be related in some way. These correlators may be packaged into potentials, from which may be derived J-functions and I-functions res ...
Holographic dual of a time machine
... But due to the lensing timelike separated points can be also connected by continuous spacelike geodesics. The latter are directly related to the entanglement. So, do we have a state with a high rate of timelike entanglement on the boundary?.. (see also S. Olson, T. Ralph, “Entanglement between t ...
... But due to the lensing timelike separated points can be also connected by continuous spacelike geodesics. The latter are directly related to the entanglement. So, do we have a state with a high rate of timelike entanglement on the boundary?.. (see also S. Olson, T. Ralph, “Entanglement between t ...
2016/07/16 - Foundations2016 - From Physical Assumptions To
... known mathematical frameworks – in the most direct way possible – not to some new theory ...
... known mathematical frameworks – in the most direct way possible – not to some new theory ...
JKB_Paper1_QuantumEntanglementTechnologyoftheFuture
... the wave function proposed by Louis de Broglie and Erwin Schrödinger does not provide a complete description of physical reality, and hence the Copenhagen interpretation was unsatisfactory (Einstein, Podolsky, Rosen 1935). They attributed some of the uncertainty in that is inherent in quantum mechan ...
... the wave function proposed by Louis de Broglie and Erwin Schrödinger does not provide a complete description of physical reality, and hence the Copenhagen interpretation was unsatisfactory (Einstein, Podolsky, Rosen 1935). They attributed some of the uncertainty in that is inherent in quantum mechan ...
Operator methods in quantum mechanics
... operation (if such exist) are ±1. A wavefunction will have a defined parity if and only if it is an even or odd function. For example, for ψ(x) = cos(x), P̂ ψ = cos(−x) = cos(x) = ψ; thus ψ is even and P = 1. Similarly ψ = sin(x) is odd with P = −1. Later, in the next chapter, we will encounter the ...
... operation (if such exist) are ±1. A wavefunction will have a defined parity if and only if it is an even or odd function. For example, for ψ(x) = cos(x), P̂ ψ = cos(−x) = cos(x) = ψ; thus ψ is even and P = 1. Similarly ψ = sin(x) is odd with P = −1. Later, in the next chapter, we will encounter the ...
Another version - Scott Aaronson
... B is maximally entangled with the last qubit of R. But in order to see that B and R are even classically correlated, one would need to learn xs (a “hardcore bit” of f), and therefore invert f With realistic dynamics, the decoding task seems like it should only be “harder” than in this model case (t ...
... B is maximally entangled with the last qubit of R. But in order to see that B and R are even classically correlated, one would need to learn xs (a “hardcore bit” of f), and therefore invert f With realistic dynamics, the decoding task seems like it should only be “harder” than in this model case (t ...
As we know, the measurement of a static (specific
... momentum, and therefore all other observables. However, value determinism does not obtain in standard quantum mechanics: two systems in a quantum state represented by the very same state vector can give different returns when the same observable is measured. Value determinism, however, applies to st ...
... momentum, and therefore all other observables. However, value determinism does not obtain in standard quantum mechanics: two systems in a quantum state represented by the very same state vector can give different returns when the same observable is measured. Value determinism, however, applies to st ...