Quantum Speed-ups for Gibbs Sampling
... in time Õ(n1/2 m1/2 r δ-2 R2) Input: n x n matrices r-sparse C, A1, ..., Am and numbers b1, ..., bm Output: Samples from y/||y||2 and ||y||2 Q. Samples from X/tr(X) and tr(X) Oracle Model: We assume there’s an oracle that outputs a chosen non-zero entry of C, A1, ..., Am at unit cost: ...
... in time Õ(n1/2 m1/2 r δ-2 R2) Input: n x n matrices r-sparse C, A1, ..., Am and numbers b1, ..., bm Output: Samples from y/||y||2 and ||y||2 Q. Samples from X/tr(X) and tr(X) Oracle Model: We assume there’s an oracle that outputs a chosen non-zero entry of C, A1, ..., Am at unit cost: ...
Kuzemsky A.L. Symmetry Breaking, Quantum Protectorate and
... are more convenient, more physical, than ordinary averages [5]. The latter are the same quasiaverages only averaged over all the directions e. It is necessary to stress that the starting point for Bogoliubov's work [2] was an investigation of additive conservation laws and selection rules, continuin ...
... are more convenient, more physical, than ordinary averages [5]. The latter are the same quasiaverages only averaged over all the directions e. It is necessary to stress that the starting point for Bogoliubov's work [2] was an investigation of additive conservation laws and selection rules, continuin ...
Feynman lectures on computation
... of elementary quantum gates, single-, two-qubit... • The sequence of these quantum gates that are applied to the quantum input depends on the classical variables x and N complicatedly. • We need a classical computer processes the classical variables and produces an output that is a program for the q ...
... of elementary quantum gates, single-, two-qubit... • The sequence of these quantum gates that are applied to the quantum input depends on the classical variables x and N complicatedly. • We need a classical computer processes the classical variables and produces an output that is a program for the q ...
Entanglement and Bell theorem
... • A source must emit pairs of discrete-state systems, which can be detected with high efficiency. • QM must predict strong correlations of the relevant observables of each pair, and the pairs must have high QM purity. • Analyzers must have extremely high fidelity to allow transmittance of desired st ...
... • A source must emit pairs of discrete-state systems, which can be detected with high efficiency. • QM must predict strong correlations of the relevant observables of each pair, and the pairs must have high QM purity. • Analyzers must have extremely high fidelity to allow transmittance of desired st ...
Superfluid to insulator transition in a moving system of
... Moving condensate in an optical lattice. Dynamical instability Theory: Niu et al. PRA (01), Smerzi et al. PRL (02) Experiment: Fallani et al. PRL (04) ...
... Moving condensate in an optical lattice. Dynamical instability Theory: Niu et al. PRA (01), Smerzi et al. PRL (02) Experiment: Fallani et al. PRL (04) ...
Lecture Notes (pptx)
... Science fiction writers imagine that quantum computing (or some other form of physical computing) might somehow break all classical limits This seems not to be possible, but we could be wrong. After all, we’ve only been in this business for a few years… Right now, quantum computing may be most usefu ...
... Science fiction writers imagine that quantum computing (or some other form of physical computing) might somehow break all classical limits This seems not to be possible, but we could be wrong. After all, we’ve only been in this business for a few years… Right now, quantum computing may be most usefu ...
Kepler`s elliptic orbits in wave mechanics, and problems with the de
... It is misleading to compare quantum mechanics with deterministically formulated classical mechanics; instead one should first reformulate the classical theory, even for a single particle, in an indeterministic, statistical manner. Then some of the distinctions between the two theories disappear, ot ...
... It is misleading to compare quantum mechanics with deterministically formulated classical mechanics; instead one should first reformulate the classical theory, even for a single particle, in an indeterministic, statistical manner. Then some of the distinctions between the two theories disappear, ot ...
Complete Introduction
... this decoupling is much less appropriate for the assumed mixing of molecules and voids in the "hole" theory of liquid-vapor coexistence than in true solid or liquid state mixture theories, forms the basis of "Remarks on the Hole Theory of Condensation." The final cooperative phenomena article, "Cont ...
... this decoupling is much less appropriate for the assumed mixing of molecules and voids in the "hole" theory of liquid-vapor coexistence than in true solid or liquid state mixture theories, forms the basis of "Remarks on the Hole Theory of Condensation." The final cooperative phenomena article, "Cont ...
Fulltext PDF
... form the essence of some manifestation of the phenomenon, e.g., planetary motion, without providing any conceptual basis for it. Then comes the discovery of the concept that underlies the phenomenon, e.g., gravity. This concept is given mathematical form, i.e. it becomes a theory, and this mathemati ...
... form the essence of some manifestation of the phenomenon, e.g., planetary motion, without providing any conceptual basis for it. Then comes the discovery of the concept that underlies the phenomenon, e.g., gravity. This concept is given mathematical form, i.e. it becomes a theory, and this mathemati ...
Physical Chemistry (4): Theoretical Chemistry
... According to the classical theory, the radiation is caused by elementary oscillator, with averaged energy of ¯ which, according to the principle of equipartition, is proportional to the temperature. The amount of radiation emitted in a given frequency range should be proportional to the number of m ...
... According to the classical theory, the radiation is caused by elementary oscillator, with averaged energy of ¯ which, according to the principle of equipartition, is proportional to the temperature. The amount of radiation emitted in a given frequency range should be proportional to the number of m ...
Lecture 4 1 Unitary Operators and Quantum Gates
... A quantum operation which copied states would be very useful. For example, we considered the following ...
... A quantum operation which copied states would be very useful. For example, we considered the following ...
Easy introduction to quantum informatics
... It follows from QM itself! (known as No Cloning Theorem) ...
... It follows from QM itself! (known as No Cloning Theorem) ...