quantum algorithms - Computer Engineering
... We will now examine a quantum algorithm which is clearly superior to any possible classical algorithm for the same job: Let us say that we have a “black box program” which takes as input an n-bit string, and computes and outputs a boolean (0 or 1) function f of this input. We can give any input that ...
... We will now examine a quantum algorithm which is clearly superior to any possible classical algorithm for the same job: Let us say that we have a “black box program” which takes as input an n-bit string, and computes and outputs a boolean (0 or 1) function f of this input. We can give any input that ...
manuscript - University of Hertfordshire
... (Received 12 August 2012; revised manuscript received 31 October 2012; published 14 January 2013) The behavior of classical mechanical systems is characterized by their phase portraits, the collections of their trajectories. Heisenberg’s uncertainty principle precludes the existence of sharply defin ...
... (Received 12 August 2012; revised manuscript received 31 October 2012; published 14 January 2013) The behavior of classical mechanical systems is characterized by their phase portraits, the collections of their trajectories. Heisenberg’s uncertainty principle precludes the existence of sharply defin ...
The Physics of Information
... quantum mechanics to provide a useful measurement for quantum entanglement. Finally we make a small excursion to the interface betweeen quantum theory and general relativity, where one is confronted with the “ultimate information paradox” posed by the physics of Black Holes. In this review we have l ...
... quantum mechanics to provide a useful measurement for quantum entanglement. Finally we make a small excursion to the interface betweeen quantum theory and general relativity, where one is confronted with the “ultimate information paradox” posed by the physics of Black Holes. In this review we have l ...
Quantum Mechanical Modelling and Optical Spectroscopy of
... We rely on fossil fuels for more than 80% of our current energy needs, a situation which is not sustainable in the long-term. On top of this, the energy demand is expected to grow by almost half over the next two decades.[1] The amount of energy the earth’s surface receives from the sun in one hour ...
... We rely on fossil fuels for more than 80% of our current energy needs, a situation which is not sustainable in the long-term. On top of this, the energy demand is expected to grow by almost half over the next two decades.[1] The amount of energy the earth’s surface receives from the sun in one hour ...
How to use the Cosmological Schwinger principle for Energy
... n Bit ∝ T 2 will be analyzed in future publications. If the bits of information can be related to a numerical count, the next step will be to make a linkage between thermal heat flux, due to the initial start of inflation, with degrees of freedom rising from a point, almost zero to over 1000 in a Pl ...
... n Bit ∝ T 2 will be analyzed in future publications. If the bits of information can be related to a numerical count, the next step will be to make a linkage between thermal heat flux, due to the initial start of inflation, with degrees of freedom rising from a point, almost zero to over 1000 in a Pl ...
Quantum Algorithms for Evaluating MIN
... We now consider the fact that the subroutines for And-Or and searching can fail. First, note that, by incurring a multiplicative factor of only O(log log(N)), each call to the And-Or and search algorithm can be amplified so that its error probability is O(1/ log(N)). This results in an O(W (N) log(N ...
... We now consider the fact that the subroutines for And-Or and searching can fail. First, note that, by incurring a multiplicative factor of only O(log log(N)), each call to the And-Or and search algorithm can be amplified so that its error probability is O(1/ log(N)). This results in an O(W (N) log(N ...
Lagrangian, functional integrals, effective action
... diagram as representing a (part of) a physical process, where certain particles with assigned momenta (external edges) interact (vertices) by creation and annihilation of virtual particles (internal edges). The momenta flowing through the graph then represent the physical process. In fact, it is cle ...
... diagram as representing a (part of) a physical process, where certain particles with assigned momenta (external edges) interact (vertices) by creation and annihilation of virtual particles (internal edges). The momenta flowing through the graph then represent the physical process. In fact, it is cle ...
Bose–Einstein condensation NEW PROBLEMS
... A. De Broglie wavelength and BEC In the semiclassical approximation at low density and high temperature, atoms are localized to wave packets with dimensions small compared to the average interatomic separation. The average de Broglie wavelength l 5 h/p, which is a quantum measure of delocalization o ...
... A. De Broglie wavelength and BEC In the semiclassical approximation at low density and high temperature, atoms are localized to wave packets with dimensions small compared to the average interatomic separation. The average de Broglie wavelength l 5 h/p, which is a quantum measure of delocalization o ...
chapter41
... and forth between two impenetrable walls separated by L. Classically, it can be modeled as a particle under constant speed. If the particle’s speed is constant, so are its kinetic energy and its momentum. Classical physics places no restrictions on these values. Section 41.2 ...
... and forth between two impenetrable walls separated by L. Classically, it can be modeled as a particle under constant speed. If the particle’s speed is constant, so are its kinetic energy and its momentum. Classical physics places no restrictions on these values. Section 41.2 ...
How fast can a black hole release its information? r
... Kaluza-Klein (KK) reduction, and it is known that no perturbative hair can be found for gauge fields either. But now consider the following nonperurbative deformation. Take one compact circle S 1 , and use it to make a KK-monopole at some location ~r1 in the non-compact space. This means that the S ...
... Kaluza-Klein (KK) reduction, and it is known that no perturbative hair can be found for gauge fields either. But now consider the following nonperurbative deformation. Take one compact circle S 1 , and use it to make a KK-monopole at some location ~r1 in the non-compact space. This means that the S ...
Handout
... set (f + g)(x) = f (x) + g(x), and for a ∈ R, (af )(x) = a(f (x)). The function that is constantly zero also serves as a zero element for this vector space over R. Now there is a basic disanalogy here that we need to work around. While the linear operators on H are a complex vector space, the functi ...
... set (f + g)(x) = f (x) + g(x), and for a ∈ R, (af )(x) = a(f (x)). The function that is constantly zero also serves as a zero element for this vector space over R. Now there is a basic disanalogy here that we need to work around. While the linear operators on H are a complex vector space, the functi ...
Quantum mechanics of electrons in strong magnetic field
... To obtain a more concrete idea about the size of the gap between two adjacent Landau levels, we estimate itthe Landau gap. In a typical metal in the field B of the order 10T and taking electron mass me ' 10−27 g, one can estimate the gap roughly as ~Ω = ~eB/me c ' 1.5 ∗ 10−15 erg ' 15K. In a semico ...
... To obtain a more concrete idea about the size of the gap between two adjacent Landau levels, we estimate itthe Landau gap. In a typical metal in the field B of the order 10T and taking electron mass me ' 10−27 g, one can estimate the gap roughly as ~Ω = ~eB/me c ' 1.5 ∗ 10−15 erg ' 15K. In a semico ...
from High Energy Physics to Cosmology
... String Field Theory: from High Energy Physics to Cosmology Irina Arefeva Steklov Mathematical Institute, RAS ...
... String Field Theory: from High Energy Physics to Cosmology Irina Arefeva Steklov Mathematical Institute, RAS ...
THE NOTION OF INFORMATION IN QUANTUM PHYSICS AND THE
... predicate calculus hold in intensional logic(s). For instance, if we applied the two axioms in many uses of ordinary languages (e.g., poetic or religious languages) the asserts so constructed would become immediately meaningless. E.g., given the statement “Omnipotent Lord, bless, we pray, this water ...
... predicate calculus hold in intensional logic(s). For instance, if we applied the two axioms in many uses of ordinary languages (e.g., poetic or religious languages) the asserts so constructed would become immediately meaningless. E.g., given the statement “Omnipotent Lord, bless, we pray, this water ...
73 013601 (2006)
... sate wave function 关10兴. The onset of instability of the condensate can cause rapid proliferation of thermal particles 关11兴 that can be observed in experiments 关12兴. It is therefore important to understand the route to chaos with increasing interactions. This problem has recently been studied for th ...
... sate wave function 关10兴. The onset of instability of the condensate can cause rapid proliferation of thermal particles 关11兴 that can be observed in experiments 关12兴. It is therefore important to understand the route to chaos with increasing interactions. This problem has recently been studied for th ...
2010 NORTH AMERICAN ANNUAL MEETING OF THE
... unilluminating ways.” But few people have actually tried to provide logics for sentences close to “the way they come,” and so I will be able to review much of what has been done. One leading idea is that the target logics for translations should have a decidable validity problem, ruling out full fir ...
... unilluminating ways.” But few people have actually tried to provide logics for sentences close to “the way they come,” and so I will be able to review much of what has been done. One leading idea is that the target logics for translations should have a decidable validity problem, ruling out full fir ...
NON-HERMITIAN QUANTUM MECHANICS by KATHERINE JONES
... T operators, the complex conjugate transpose seems rather arbitrary, (and we wind up imposing P and T symmetry in Hermitian theories later down the line, so why not at the level of axioms.) And then there is the so-called totalitarian principle: “Anything which is not forbidden is compulsory”. Firs ...
... T operators, the complex conjugate transpose seems rather arbitrary, (and we wind up imposing P and T symmetry in Hermitian theories later down the line, so why not at the level of axioms.) And then there is the so-called totalitarian principle: “Anything which is not forbidden is compulsory”. Firs ...
Quantum distributed computing - Technion
... function. The probabilistic communication complexity is the amount of bits that have to be broadcast by the players in order for player number one to be able to compute F with probability at least 2/3 (in the worst case). We assume that the players share some random bits and that they cooperate. The ...
... function. The probabilistic communication complexity is the amount of bits that have to be broadcast by the players in order for player number one to be able to compute F with probability at least 2/3 (in the worst case). We assume that the players share some random bits and that they cooperate. The ...
Thomas Filk Slides
... gone. Then one day I skipped the observations to go to a lecture, and next day on my normal recording I saw the scruff had been there. A few days after that at the end of November '67 I got it on the fast recording. As the chart flowed under the pen I could see that the signal was a series of pulses ...
... gone. Then one day I skipped the observations to go to a lecture, and next day on my normal recording I saw the scruff had been there. A few days after that at the end of November '67 I got it on the fast recording. As the chart flowed under the pen I could see that the signal was a series of pulses ...
- IISER
... Course Content: 1. Basic Concepts and history of developmental biology - Model systems: developmental model organisms: Sea urchin, Drosophila, Xenopus, Chick 2. Early embryonic development: Cleavage, gastrulation and development of germinal layers; Maternal inheritance; Maternal to zygotic transitio ...
... Course Content: 1. Basic Concepts and history of developmental biology - Model systems: developmental model organisms: Sea urchin, Drosophila, Xenopus, Chick 2. Early embryonic development: Cleavage, gastrulation and development of germinal layers; Maternal inheritance; Maternal to zygotic transitio ...
Quantum phase transition in one-dimensional Bose
... also significantly populated near and beyond the critical point. The ground state for 兩 ␥ 兩 ⬍ 兩 ␥ cr兩 corresponds to a single BEC consisting of a macroscopic occupation of the zeromomentum state. However, when 兩 ␥ 兩 exceeds 21 , the condensate fraction decreases rapidly and the eigenvalues of higher ...
... also significantly populated near and beyond the critical point. The ground state for 兩 ␥ 兩 ⬍ 兩 ␥ cr兩 corresponds to a single BEC consisting of a macroscopic occupation of the zeromomentum state. However, when 兩 ␥ 兩 exceeds 21 , the condensate fraction decreases rapidly and the eigenvalues of higher ...
Entanglement Criteria for Continuous
... harmonic oscillator systems are extremely important. A remarkable characteristic property of this system is that it has discrete energy levels which are equally spaced [10]. Thus, to explore its properties, it is best to use the energy eigenstates as the basis. Also it is convenient to assign a nonn ...
... harmonic oscillator systems are extremely important. A remarkable characteristic property of this system is that it has discrete energy levels which are equally spaced [10]. Thus, to explore its properties, it is best to use the energy eigenstates as the basis. Also it is convenient to assign a nonn ...