Optimal parallel quantum query algorithms
... find distinct i1 , . . . , ik ∈ [n] such that xi1 = · · · = xik , and the k-sum problem, where the objective is to find distinct i1 , . . . , ik ∈ [n] such that xi1 + · · · + xik = 0 mod q. Ambainis’s approach solves both problems using O(nk/(k+1) ) quantum queries. Recently, Belovs gave a o(n3/4 ) ...
... find distinct i1 , . . . , ik ∈ [n] such that xi1 = · · · = xik , and the k-sum problem, where the objective is to find distinct i1 , . . . , ik ∈ [n] such that xi1 + · · · + xik = 0 mod q. Ambainis’s approach solves both problems using O(nk/(k+1) ) quantum queries. Recently, Belovs gave a o(n3/4 ) ...
An introduction to rigorous formulations of quantum field theory
... Path integrals, too, are understood by analogy rather than precise mathematics. Under the critical eye, quantum field theory amounts to a set of rules for manipulating formal integrals and operator symbols to obtain scattering amplitudes. Of course, the critic is wrong: physicists wield a variety of ...
... Path integrals, too, are understood by analogy rather than precise mathematics. Under the critical eye, quantum field theory amounts to a set of rules for manipulating formal integrals and operator symbols to obtain scattering amplitudes. Of course, the critic is wrong: physicists wield a variety of ...
Zeno dynamics in quantum open systems
... Quantum Zeno effect shows that frequent observations can slow down or even stop the unitary time evolution of an unstable quantum system. This effect can also be regarded as a physical consequence of the the statistical indistinguishability of neighboring quantum states. The accessibility of quantum ...
... Quantum Zeno effect shows that frequent observations can slow down or even stop the unitary time evolution of an unstable quantum system. This effect can also be regarded as a physical consequence of the the statistical indistinguishability of neighboring quantum states. The accessibility of quantum ...
PHY 2049: Physics II
... Two particles with charges Q and -Q are fixed at the vertices of an equilateral triangle with sides of length a. The work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles is: ...
... Two particles with charges Q and -Q are fixed at the vertices of an equilateral triangle with sides of length a. The work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles is: ...
algunos resultados asociados a problemas
... particle disappears upon reaching a wall and then appears at the other end must be considered. This type of movement (which is very unusual because the particle is not actually trapped between the two walls) corresponds to that of a quantum particle described by the Hamiltonian operator under period ...
... particle disappears upon reaching a wall and then appears at the other end must be considered. This type of movement (which is very unusual because the particle is not actually trapped between the two walls) corresponds to that of a quantum particle described by the Hamiltonian operator under period ...
1 The quantum-classical boundary and the moments of inertia of
... threshold size; and the various approaches in the studies referenced above lead to comparable relationships in equations having somewhat different numerical coefficients. For a given mass, objects having sizes considerably larger than this critical value would be expected to exhibit classical behavi ...
... threshold size; and the various approaches in the studies referenced above lead to comparable relationships in equations having somewhat different numerical coefficients. For a given mass, objects having sizes considerably larger than this critical value would be expected to exhibit classical behavi ...
Momentum
... 1. two or more objects collide with one another 2. there is an explosion of some sort where one object breaks apart into two or more objects. There are two ways in which the law of conservation of momentum can be used: onedimensional interactions (collisions or explosions) and two-dimensional intera ...
... 1. two or more objects collide with one another 2. there is an explosion of some sort where one object breaks apart into two or more objects. There are two ways in which the law of conservation of momentum can be used: onedimensional interactions (collisions or explosions) and two-dimensional intera ...
Closed timelike curves make quantum and classical computing
... provided the physics of the CTC is quantum-mechanical. Deutsch’s insight was that a CTC should simply be regarded as a region of spacetime where Nature enforces a requirement of causal consistency: in other words, that the evolution operator within that region should map the state of the initial hyp ...
... provided the physics of the CTC is quantum-mechanical. Deutsch’s insight was that a CTC should simply be regarded as a region of spacetime where Nature enforces a requirement of causal consistency: in other words, that the evolution operator within that region should map the state of the initial hyp ...
Ch 30 Atomic Physics
... Secrecy was endemic. Alchemists discovered and rediscovered many facts but did not make them broadly available. As the Middle Ages ended, alchemy gradually faded, and the science of chemistry arose. It was no longer possible, nor considered desirable, to keep discoveries secret. Collective knowledge ...
... Secrecy was endemic. Alchemists discovered and rediscovered many facts but did not make them broadly available. As the Middle Ages ended, alchemy gradually faded, and the science of chemistry arose. It was no longer possible, nor considered desirable, to keep discoveries secret. Collective knowledge ...
as a PDF
... first half-adder’s sum is zero. Therefore, a CNOT gate can be used in place of a half adder to generate the most significant sum output bit, since the corresponding carry must always be zero. Note that this will require more qubits of intermediate result, indicated above by arrows, which will have t ...
... first half-adder’s sum is zero. Therefore, a CNOT gate can be used in place of a half adder to generate the most significant sum output bit, since the corresponding carry must always be zero. Note that this will require more qubits of intermediate result, indicated above by arrows, which will have t ...
K - Research
... papers and was considered, at least among those concerned with wave mechanics, to be the correct and natural generalization of SCHRODINGER's theory. Appearing in a beautiful symmetric manner, which automatically secures LORENTZ invariance, it appealed instinctively to many theoretical physicists. SC ...
... papers and was considered, at least among those concerned with wave mechanics, to be the correct and natural generalization of SCHRODINGER's theory. Appearing in a beautiful symmetric manner, which automatically secures LORENTZ invariance, it appealed instinctively to many theoretical physicists. SC ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.