soliloquy: a cautionary tale
... The Soliloquy primitive, first proposed by the third author in 2007, is based on cyclic lattices. It has very good efficiency properties, both in terms of public key size and the speed of encryption and decryption. There are straightforward techniques for turning Soliloquy into a key exchange or oth ...
... The Soliloquy primitive, first proposed by the third author in 2007, is based on cyclic lattices. It has very good efficiency properties, both in terms of public key size and the speed of encryption and decryption. There are straightforward techniques for turning Soliloquy into a key exchange or oth ...
lagrangian formulation of classical
... • If you take the derivative of the action with respect to q, the result is p, such that p and q are conjugate variables • Your generalized coordinates (the q’s) can be transformed into “canonically conjugate variables” by the Hamilton-Jacobi equations. • For now this is just a fun fact, but will be ...
... • If you take the derivative of the action with respect to q, the result is p, such that p and q are conjugate variables • Your generalized coordinates (the q’s) can be transformed into “canonically conjugate variables” by the Hamilton-Jacobi equations. • For now this is just a fun fact, but will be ...
Fermi and the Theory of Weak Interactions
... modi¯cation was to replace the vector current of Fermi by an equal mixture of vector (V) and axial vector (A) currents. Vectors and axial vectors behave di®erently when we go from left to right-handed coordinate systems and hence the parity violation. This is the V{A form discovered by Sudarshan and ...
... modi¯cation was to replace the vector current of Fermi by an equal mixture of vector (V) and axial vector (A) currents. Vectors and axial vectors behave di®erently when we go from left to right-handed coordinate systems and hence the parity violation. This is the V{A form discovered by Sudarshan and ...
Algebraic Quantum Field Theory on Curved Spacetimes
... analogously and set D(O, M) = D + (O, M) ∪ D − (O, M). D(O, M) is sometimes also called the Cauchy development of O. With this, we are finally in the position to state the definition of global hyperbolicity (valid for all spacetime dimensions). Definition 2.1 A Cauchy surface is a closed achronal se ...
... analogously and set D(O, M) = D + (O, M) ∪ D − (O, M). D(O, M) is sometimes also called the Cauchy development of O. With this, we are finally in the position to state the definition of global hyperbolicity (valid for all spacetime dimensions). Definition 2.1 A Cauchy surface is a closed achronal se ...
Coarse graining and renormalization: the bottom up approach
... Spin foams and space time atoms. Coarse graining without a scale. The importance of refining states. Tensor network coarse graining algorithms. Application to spin foams / spin nets. Classifying (symmetry protected) phases. New representations and vacua in loop quantum gravity Expanding the theory a ...
... Spin foams and space time atoms. Coarse graining without a scale. The importance of refining states. Tensor network coarse graining algorithms. Application to spin foams / spin nets. Classifying (symmetry protected) phases. New representations and vacua in loop quantum gravity Expanding the theory a ...
Ruelle.pdf
... is simple dynamics inadequate for nonequilibrium? Using the formalism of Gaussian thermostats where entropy production is the rate of volume contraction, or equivalently minus the sum of all Lyapunov exponents, one sees that nontrivial entropy production entails some non zero Lyapunov exponents, whi ...
... is simple dynamics inadequate for nonequilibrium? Using the formalism of Gaussian thermostats where entropy production is the rate of volume contraction, or equivalently minus the sum of all Lyapunov exponents, one sees that nontrivial entropy production entails some non zero Lyapunov exponents, whi ...
Quantum design
... larger space Cm which contains the given space Cn Such measurement from the viewpoint of the given space Cn is called positive operator valued measurement or POVM. Solution to the problem would then be provided by a symmetric informationally complete POVM (SIC POVM) – if it exists. ...
... larger space Cm which contains the given space Cn Such measurement from the viewpoint of the given space Cn is called positive operator valued measurement or POVM. Solution to the problem would then be provided by a symmetric informationally complete POVM (SIC POVM) – if it exists. ...
Lagrangians and Local Gauge Invariance
... the particle at any given time in classical mechanics. • A state (or a motion) of particle is expressed in terms of wave functions that represent probability of the particle occupying certain position at any given time in Quantum mechanics. Operators provide means for obtaining observables, such a ...
... the particle at any given time in classical mechanics. • A state (or a motion) of particle is expressed in terms of wave functions that represent probability of the particle occupying certain position at any given time in Quantum mechanics. Operators provide means for obtaining observables, such a ...
Semiclassical Origins of Density Functionals
... x TF2 =TF k2 x F , F x=2TR 1=2 csc2 x=2k2F xTF and TF2 L0 dx0 =k3F x0 . Important features of these results include: (i) exact when v 0, where kF N 1=2=L; (ii) highly nonlocal functionals of the potential through F , which is set globally; (iii) TF ...
... x TF2 =TF k2 x F , F x=2TR 1=2 csc2 x=2k2F xTF and TF2 L0 dx0 =k3F x0 . Important features of these results include: (i) exact when v 0, where kF N 1=2=L; (ii) highly nonlocal functionals of the potential through F , which is set globally; (iii) TF ...
FUNDAMENTAL ASPECTS OF STATISTICAL PHYSICS AND
... Quantum annealing and quantum spin dynamics A quantum computer is a device that performs operations according to the rules of quantum theory. There are various types of quantum computers of which nowadays the two most important ones considered for practical realization are the circuit-model quantum ...
... Quantum annealing and quantum spin dynamics A quantum computer is a device that performs operations according to the rules of quantum theory. There are various types of quantum computers of which nowadays the two most important ones considered for practical realization are the circuit-model quantum ...
On Quantum Generalizations of Information
... Measurement, fidelity and relative entropy are information-theoretic measures involving (at least) two mixed operators. We observe that their extension of their classical analogue for probability distributions follows a pattern. It involves the term hai |bj ihbj |ai i, a contribution made possible b ...
... Measurement, fidelity and relative entropy are information-theoretic measures involving (at least) two mixed operators. We observe that their extension of their classical analogue for probability distributions follows a pattern. It involves the term hai |bj ihbj |ai i, a contribution made possible b ...
An edge index for the Quantum Spin-Hall effect
... protected by the time reversal symmetry, which means no gap can open in the edge spectrum, even when the Rashba term is turned on. While Sz is no longer conserved for this later case, the edge still carries a dissipationless spin current, thought no longer quantized. Because of the last fact, the th ...
... protected by the time reversal symmetry, which means no gap can open in the edge spectrum, even when the Rashba term is turned on. While Sz is no longer conserved for this later case, the edge still carries a dissipationless spin current, thought no longer quantized. Because of the last fact, the th ...
... theory would be beyond repair, and would have to be given up: “The chief attraction of the theory lies in its logical completeness. If a single one of the conclusions drawn from it proves wrong, it must be given up; to modify it without destroying the whole structure seems to be impossible” He must ...
Field-Induced Gap in a Quantum Spin
... in materials with cooperative ground states, in particular, induced by high magnetic fields. The way a magnetic field changes the ground-state properties and, correspondingly, the low-energy excitation spectrum of lowdimensional magnets is one of the fundamental aspects in quantum magnetism. For exa ...
... in materials with cooperative ground states, in particular, induced by high magnetic fields. The way a magnetic field changes the ground-state properties and, correspondingly, the low-energy excitation spectrum of lowdimensional magnets is one of the fundamental aspects in quantum magnetism. For exa ...
