
classical simulation of restricted quantum computations
... bit-string x 2 {0, 1}⇤ of length |x|. This input is the same input that you would give to a classical computer but with a quantum circuit we prepare the |x|-qubit input |xi along with p = f (|x|) all in the state |0i where f is some function f : N ! N. Also, given |x|, we need a description of which ...
... bit-string x 2 {0, 1}⇤ of length |x|. This input is the same input that you would give to a classical computer but with a quantum circuit we prepare the |x|-qubit input |xi along with p = f (|x|) all in the state |0i where f is some function f : N ! N. Also, given |x|, we need a description of which ...
Nonlinear quantum mechanics, the superposition principle, and the
... (2) There is no universally agreed upon explanation for the process of quantum measurement. (3) There is no universally agreed upon explanation for the observed fact that macroscopic objects are not found in superposition of position eigenstates. (4) Most importantly, the concept of time is classica ...
... (2) There is no universally agreed upon explanation for the process of quantum measurement. (3) There is no universally agreed upon explanation for the observed fact that macroscopic objects are not found in superposition of position eigenstates. (4) Most importantly, the concept of time is classica ...
physics and narrative - Rutgers Philosophy Department
... theory aren’t going to be narratable. Suppose (for example) that the momentum of a free particle is measured along the hypersurface marked t=0 in figure 5, and that later on a collapse leaves the particle localized at P. Then the projection-postulate that Aharonov and I proposed is going to stipulat ...
... theory aren’t going to be narratable. Suppose (for example) that the momentum of a free particle is measured along the hypersurface marked t=0 in figure 5, and that later on a collapse leaves the particle localized at P. Then the projection-postulate that Aharonov and I proposed is going to stipulat ...
State Preparation Quantum Optics Quantum Information Theory
... Entanglement is perhaps the single-most important resource of quantum information theory. The first part of this thesis deals with the creation of optical event-ready entanglement with a specific class of optical circuits. These circuits include passive components such as beam-splitters and phase-sh ...
... Entanglement is perhaps the single-most important resource of quantum information theory. The first part of this thesis deals with the creation of optical event-ready entanglement with a specific class of optical circuits. These circuits include passive components such as beam-splitters and phase-sh ...
Snímek 1
... Studied using underground experiments (main problem is background). For example new device NEMO-3 (10 kg of 100Mo, Qββ = 3.038 MeV). Next possibility – geochemical measurements. ...
... Studied using underground experiments (main problem is background). For example new device NEMO-3 (10 kg of 100Mo, Qββ = 3.038 MeV). Next possibility – geochemical measurements. ...
Prime Factorization by Quantum Adiabatic Computation
... and is not very transparent. Therefore the proof presented here follows a different approach based on contour integration given by C. Wittig in 2005 [41]. There is also a very short proof by A. C. Vutha from 2010 [40], which will not be covered here. To derive the conditions for adiabatic and non-ad ...
... and is not very transparent. Therefore the proof presented here follows a different approach based on contour integration given by C. Wittig in 2005 [41]. There is also a very short proof by A. C. Vutha from 2010 [40], which will not be covered here. To derive the conditions for adiabatic and non-ad ...
helium thermodynamics, analytical model
... gas contribution to the Helmholtz energy where the term F r represents the residual Helmholtz energy which corresponds to the influence of both intermolecular forces and quantum effects. An equation in such a format is a fundamental EOS: all the thermodynamic properties can be obtained through combi ...
... gas contribution to the Helmholtz energy where the term F r represents the residual Helmholtz energy which corresponds to the influence of both intermolecular forces and quantum effects. An equation in such a format is a fundamental EOS: all the thermodynamic properties can be obtained through combi ...
PACS numbers: 32.80.Pj, 42.50.Vk, 89.80.+h In a quantum computer
... Using the “factorization curve” specified by eqs. (7) and (8), one can obtain as before a value for the number of bits l in the largest number which may be factored. In this case the value of l will depend on the value of the coherence time τe . In figure 2 we have plotted the values of l as a funct ...
... Using the “factorization curve” specified by eqs. (7) and (8), one can obtain as before a value for the number of bits l in the largest number which may be factored. In this case the value of l will depend on the value of the coherence time τe . In figure 2 we have plotted the values of l as a funct ...
Occam`s Quantum Strop: Synchronizing and
... series of sunny days interrupted only rarely by rain—a pattern now all too familiar to residents. Analogously, a one-dimensional spin system in a magnetic field might have most of its spins “up” with just a few “down”— defects determined by the details of spin coupling and thermal fluctuations. Thou ...
... series of sunny days interrupted only rarely by rain—a pattern now all too familiar to residents. Analogously, a one-dimensional spin system in a magnetic field might have most of its spins “up” with just a few “down”— defects determined by the details of spin coupling and thermal fluctuations. Thou ...
Particle in a box

In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.