QUANTUM COMPUTING
... to his/her own interests, ranging from the quantum algorithms to the physical implementations of quantum information processing and computation. In the “Suggested bibliography” reported at the end of this preface, the reader can find the list of references I considered to prepare the lectures on qua ...
... to his/her own interests, ranging from the quantum algorithms to the physical implementations of quantum information processing and computation. In the “Suggested bibliography” reported at the end of this preface, the reader can find the list of references I considered to prepare the lectures on qua ...
Art Hobson There are no particles, there are only fields 1
... and now, and received there and later, then where is it in the meantime? Clearly, it's in the field.27 Faraday and Maxwell created one of history's most telling changes in our physical worldview: the change from particles to fields. As Albert Einstein put it, “Before Maxwell, Physical Reality …was t ...
... and now, and received there and later, then where is it in the meantime? Clearly, it's in the field.27 Faraday and Maxwell created one of history's most telling changes in our physical worldview: the change from particles to fields. As Albert Einstein put it, “Before Maxwell, Physical Reality …was t ...
Quantization of bi-Hamiltonian systems J.
... based on the standard Hamiltonian structure for the nonlinear Schrooinger equation. The method used was a nonlinear generalization of one of the standard methods for the second quantization of the electromagnetic field. As presented in the textbook by Schiff, 2 one takes the classical electromagneti ...
... based on the standard Hamiltonian structure for the nonlinear Schrooinger equation. The method used was a nonlinear generalization of one of the standard methods for the second quantization of the electromagnetic field. As presented in the textbook by Schiff, 2 one takes the classical electromagneti ...
Fully nonlocal quantum correlations
... refer to Pauli matrices acting on qubits n = 1 and n = 2, which span a four-dimensional Hilbert space. Each group constitutes a complete set of mutually commuting (and therefore compatible) observables, defining thus a context. In this way, there are six contexts, and every observable belongs to two ...
... refer to Pauli matrices acting on qubits n = 1 and n = 2, which span a four-dimensional Hilbert space. Each group constitutes a complete set of mutually commuting (and therefore compatible) observables, defining thus a context. In this way, there are six contexts, and every observable belongs to two ...
Coherent States
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
8 Selectivity of the O e
... wave function c f , the nuclear current J m , and the twonucleon overlap integral c i . The derivation of Eq. ~7! involves bound and scattering states c i and c f which are consistently derived from an energy-dependent non-Hermitian Feshbach-type Hamiltonian for the considered final state of the res ...
... wave function c f , the nuclear current J m , and the twonucleon overlap integral c i . The derivation of Eq. ~7! involves bound and scattering states c i and c f which are consistently derived from an energy-dependent non-Hermitian Feshbach-type Hamiltonian for the considered final state of the res ...
LoPY onL - DSpace@MIT
... is in coherent states; (ii) a system in which the classical amplitudes of the signal field are Gaussian random processes, and the received field in the absence of noise is in completely incoherent states. Bounds on the probability of error in these systems are derived. For both systems, the minimum ...
... is in coherent states; (ii) a system in which the classical amplitudes of the signal field are Gaussian random processes, and the received field in the absence of noise is in completely incoherent states. Bounds on the probability of error in these systems are derived. For both systems, the minimum ...
Exact solutions of a Dirac equation with a varying CP
... Modern particle physics studies the fundamental interactions and properties of the known subatomic particles. The most notable particle physics theory is the Standard Model, which very successfully describes a major part of observed particle phenomena. Despite its success, the Standard model also le ...
... Modern particle physics studies the fundamental interactions and properties of the known subatomic particles. The most notable particle physics theory is the Standard Model, which very successfully describes a major part of observed particle phenomena. Despite its success, the Standard model also le ...
Braid Topologies for Quantum Computation
... other [1, 2]. Because the resulting quantum gates depend purely on the topology of the braids, errors only occur when quasiparticles form “unintentional” braids. This can happen if a quasiparticle-quasihole pair is thermally created, the pair separates, wanders around other quasiparticles, and then ...
... other [1, 2]. Because the resulting quantum gates depend purely on the topology of the braids, errors only occur when quasiparticles form “unintentional” braids. This can happen if a quasiparticle-quasihole pair is thermally created, the pair separates, wanders around other quasiparticles, and then ...
A THEORY OF DEDUCTION FOR QUANTUM MECHANICS Abstract
... in the light of the afore-mentioned results it would be interesting to see under which conditions we can drop the assumption that an eigenvalue of discrete observables determines a particular property of an individual system, on which a repeatable measurement of the first kind is carried out, withou ...
... in the light of the afore-mentioned results it would be interesting to see under which conditions we can drop the assumption that an eigenvalue of discrete observables determines a particular property of an individual system, on which a repeatable measurement of the first kind is carried out, withou ...
PDF
... As a first example, consider an initial state written in ket notation as |(H 0)i . We would like to choose the transition rules of the quantum computer in such a way that this string will evaluate to the Hadamard operator applied to |0i, which should give the superposition √12 (|0i + |1i) of the sta ...
... As a first example, consider an initial state written in ket notation as |(H 0)i . We would like to choose the transition rules of the quantum computer in such a way that this string will evaluate to the Hadamard operator applied to |0i, which should give the superposition √12 (|0i + |1i) of the sta ...
The landscape of Anderson localization in a disordered medium
... One can observe that the valley lines form in each case a complicated and interconnected network. Both networks are very different but still exhibit similar features, dividing the unit square into a partition of much smaller subregions of various shapes and sizes. The eigenvalue problems associated ...
... One can observe that the valley lines form in each case a complicated and interconnected network. Both networks are very different but still exhibit similar features, dividing the unit square into a partition of much smaller subregions of various shapes and sizes. The eigenvalue problems associated ...
The Light of Existence
... That it is because it is has never been a very satisfactory answer in science. In quantum realism, the speed of light is the network refresh rate, which is finite because every processor runs at a finite rate, e.g. a 5GHz computer runs at 5,000,000,000 cycles per second. If light goes from one node ...
... That it is because it is has never been a very satisfactory answer in science. In quantum realism, the speed of light is the network refresh rate, which is finite because every processor runs at a finite rate, e.g. a 5GHz computer runs at 5,000,000,000 cycles per second. If light goes from one node ...
Entanglement Monotones and Measures: an overview 1
... even if a quantum computer can be invented, it can simulate quantum mechanics much more effectively than conventional computers. This model was formalized by David Deutsch in 1985. It has also been shown for the first time by Deutsch (a computation of two-bit XOR values) that a quantum mechanical co ...
... even if a quantum computer can be invented, it can simulate quantum mechanics much more effectively than conventional computers. This model was formalized by David Deutsch in 1985. It has also been shown for the first time by Deutsch (a computation of two-bit XOR values) that a quantum mechanical co ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.