Quantum scattering
... scattering system into a bound system with a spectral density d(E; R) over discrete eigenenergies En (R). It is therefore important that our scattering potential was chosen to be short-ranged to start with. (Which explains why the Coulomb potential requires special care.) The hope is that in the lim ...
... scattering system into a bound system with a spectral density d(E; R) over discrete eigenenergies En (R). It is therefore important that our scattering potential was chosen to be short-ranged to start with. (Which explains why the Coulomb potential requires special care.) The hope is that in the lim ...
Mathematical foundation of quantum annealing
... In the present paper we will instead discuss generic algorithms, simulated annealing 共SA兲 and quantum annealing 共QA兲. The former was developed from the analogy between optimization problems and statistical physics.4,5 In SA, the cost function to be minimized is identified with the energy of a statis ...
... In the present paper we will instead discuss generic algorithms, simulated annealing 共SA兲 and quantum annealing 共QA兲. The former was developed from the analogy between optimization problems and statistical physics.4,5 In SA, the cost function to be minimized is identified with the energy of a statis ...
PHOTONIC ENTANGLEMENT: NEW SOURCES AND NEW APPLICATIONS JI ˇ R´
... generation in this type of structures. In Chapter 3, we explore the feasibility of the generation of photon pairs entangled in the spatial degree of freedom, i.e. in the orbital angular momentum (OAM). Firstly, we examine how to create a highly multidimensional Hilbert space using OAM modes obtained ...
... generation in this type of structures. In Chapter 3, we explore the feasibility of the generation of photon pairs entangled in the spatial degree of freedom, i.e. in the orbital angular momentum (OAM). Firstly, we examine how to create a highly multidimensional Hilbert space using OAM modes obtained ...
AUTOMATIC QUANTUM COMPUTER PROGRAMMING A Genetic
... Other possible technologies may result from the exploitation of phenomena such as quantum superdense coding, quantum teleportation or quantum error correction, allowing information to be moved and/or reconstructed in novel ways. Although these applications and potential applications appear to be qui ...
... Other possible technologies may result from the exploitation of phenomena such as quantum superdense coding, quantum teleportation or quantum error correction, allowing information to be moved and/or reconstructed in novel ways. Although these applications and potential applications appear to be qui ...
Universal edge information from wavefunction deformation
... edge theories [10–13]. For example, in abelian topological phases, it is understood that the number of topologically distinct gapped edges is in one-to-one correspondence with the number of Lagrangian subgroups of the anyonic model in the bulk, each of which is a set of quasiparticles that obey cert ...
... edge theories [10–13]. For example, in abelian topological phases, it is understood that the number of topologically distinct gapped edges is in one-to-one correspondence with the number of Lagrangian subgroups of the anyonic model in the bulk, each of which is a set of quasiparticles that obey cert ...
Lecture 7: Shor`s Factorisation Algorithm Introduction The Factoring
... • There are no classical algorithms which can do this efficiently • The best is the number field sieve, which factors a number n in ...
... • There are no classical algorithms which can do this efficiently • The best is the number field sieve, which factors a number n in ...
Multiphoton localization and propagating quantum gap solitons in a
... may tunnel many wavelengths away from the atom before being reabsorbed, leading to nonMarkov memory effects [5] in collective light emission from many atoms. It was recently shown that an effective model [6] describing both isotropic PBG systems and frequency dispersive media (DM) [7] doped with res ...
... may tunnel many wavelengths away from the atom before being reabsorbed, leading to nonMarkov memory effects [5] in collective light emission from many atoms. It was recently shown that an effective model [6] describing both isotropic PBG systems and frequency dispersive media (DM) [7] doped with res ...
Chapter 2 Challenging the Boundaries between Classical and
... In 1913, a new element entered the story: Bohr’s quantum model of the atom. In the series of papers he published that year (Bohr 1913a; 1913b; 1913c), Bohr assumed new laws of atomic stability derived from the introduction of a single parameter that was completely foreign to classical electrodynamic ...
... In 1913, a new element entered the story: Bohr’s quantum model of the atom. In the series of papers he published that year (Bohr 1913a; 1913b; 1913c), Bohr assumed new laws of atomic stability derived from the introduction of a single parameter that was completely foreign to classical electrodynamic ...
Quantum nonlocality
... •Leibniz: “there are never in nature two exactly similar entities in which one cannot find an internal difference” We all know that two electrons exhibit no internal differences. •In classical physics one can try to “individuate” absolutely identical objects by considering their locations in space a ...
... •Leibniz: “there are never in nature two exactly similar entities in which one cannot find an internal difference” We all know that two electrons exhibit no internal differences. •In classical physics one can try to “individuate” absolutely identical objects by considering their locations in space a ...
Universitat Autonoma de Barcelona Facultat de Ciencies, Departament de F sica
... which mathematically correspond to elements of a two-dimensional Hilbert space, and can be expressed as a superposition of two states, namely j0i and j1i. Thus, the most general states of quantum information are superpositions of strings of qubits. Physically, a qubit corresponds to a single quantum ...
... which mathematically correspond to elements of a two-dimensional Hilbert space, and can be expressed as a superposition of two states, namely j0i and j1i. Thus, the most general states of quantum information are superpositions of strings of qubits. Physically, a qubit corresponds to a single quantum ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).