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Topological Quantum Computation from non-abelian anyons
... A quantum computer is massively parallel: the initial state can be a superposition of every phone number in the Manhattan phone book. ...
... A quantum computer is massively parallel: the initial state can be a superposition of every phone number in the Manhattan phone book. ...
Reachable set of open quantum dynamics for a single
... We assume that the coherent control can be executed on a time scale much shorter than that of dissipation, and the control Hamiltonian H (t ) can produce any unitary transformation U ∈ SU (N ) on the system, i.e., any unitary transformation can be produced on the system in negligible time compared t ...
... We assume that the coherent control can be executed on a time scale much shorter than that of dissipation, and the control Hamiltonian H (t ) can produce any unitary transformation U ∈ SU (N ) on the system, i.e., any unitary transformation can be produced on the system in negligible time compared t ...
PDF only - at www.arxiv.org.
... The main subject of present work was to study photochemistry for the production of hydrogen from methanol based on the tunnel effect and at ultra-low temperature conditions, which is in the experimental interval of (82 ± 1) K, 19. In this article, the theoretical and experimental bases of this phen ...
... The main subject of present work was to study photochemistry for the production of hydrogen from methanol based on the tunnel effect and at ultra-low temperature conditions, which is in the experimental interval of (82 ± 1) K, 19. In this article, the theoretical and experimental bases of this phen ...
Geometry of State Spaces - Institut für Theoretische Physik
... Now ω is linear in A, it attains positive values or zero for positive operators, and it returns 1 if we compute the expectation value of the identity operator 1. These properties are subsumed by saying “ω is a normalized positive linear functional on the algebra B(H)”. Exactly such functionals are a ...
... Now ω is linear in A, it attains positive values or zero for positive operators, and it returns 1 if we compute the expectation value of the identity operator 1. These properties are subsumed by saying “ω is a normalized positive linear functional on the algebra B(H)”. Exactly such functionals are a ...
Introductory Quantum Optics Section 2. A laser driven two
... FIG. 2: Schematic view of a simple experiment of a laser driven atom and a possible trajectory, as it might be observed in a quantum optics experiment. On the right hand sight, we see a random sequence of possible photon emission times causing clicks at a single photon detector. ...
... FIG. 2: Schematic view of a simple experiment of a laser driven atom and a possible trajectory, as it might be observed in a quantum optics experiment. On the right hand sight, we see a random sequence of possible photon emission times causing clicks at a single photon detector. ...
Anderson transition ???????? Critical Statistics
... In kicked rotors and quantum maps it is the time needed to explore a fixed basis. In billiards with some (Coulomb) a potential inside one can obtain this time by mapping the billiard onto an Anderson model. ...
... In kicked rotors and quantum maps it is the time needed to explore a fixed basis. In billiards with some (Coulomb) a potential inside one can obtain this time by mapping the billiard onto an Anderson model. ...
Matter–wave interference of particles selected from a molecular
... indeed present in G1 and G3 but can be neglected there since the molecular momentum distribution at G1 is wider than that caused by the grating and any phase shift in G3 is irrelevant if we are only interested in counting the number of particles that reach the mass spectrometer. Indistinguishability ...
... indeed present in G1 and G3 but can be neglected there since the molecular momentum distribution at G1 is wider than that caused by the grating and any phase shift in G3 is irrelevant if we are only interested in counting the number of particles that reach the mass spectrometer. Indistinguishability ...
Mixing Transformations in Quantum Field Theory and Neutrino
... Let us observe that the flavor operator αe has contributions from α1 , α2 but also from the anti-particle operator β2† (and similarly for other flavor operators in eqs.(2831)). This additional contribution is due to the fact that the spinor wave functions for different masses are not orthogonal. In ...
... Let us observe that the flavor operator αe has contributions from α1 , α2 but also from the anti-particle operator β2† (and similarly for other flavor operators in eqs.(2831)). This additional contribution is due to the fact that the spinor wave functions for different masses are not orthogonal. In ...
Free Will Theorem
... “compatibilist” view that free will is not inconsistent with strict determinism— contrary to what Conway & Kochen tactily presume.7 Gerard ’t Hooft has, for about a decade, been exploring the possibility that quantum mechanics is emergent from a fully deterministic physics operative at the Planck sc ...
... “compatibilist” view that free will is not inconsistent with strict determinism— contrary to what Conway & Kochen tactily presume.7 Gerard ’t Hooft has, for about a decade, been exploring the possibility that quantum mechanics is emergent from a fully deterministic physics operative at the Planck sc ...
Tutorial: Basic Concepts in Quantum Circuits
... Behavior is governed by quantum mechanics Signal states are qubit vectors Operations are defined by linear algebra over Hilbert space and represented by unitary matrices > Gates and circuits must be reversible (information-lossless) > Number of output lines = Number of input lines > States cannot be ...
... Behavior is governed by quantum mechanics Signal states are qubit vectors Operations are defined by linear algebra over Hilbert space and represented by unitary matrices > Gates and circuits must be reversible (information-lossless) > Number of output lines = Number of input lines > States cannot be ...
Experimental Demonstration of Single Photon Nonlocality
... For experimental Bell tests [1,2] it has been a successful strategy to use polarization entangled photon pairs, either from atomic cascades [3–6], or parametric downconversion [7–10], or produced by post selecting a photon pair from independent sources [11]. In these experiments, it is observed that ...
... For experimental Bell tests [1,2] it has been a successful strategy to use polarization entangled photon pairs, either from atomic cascades [3–6], or parametric downconversion [7–10], or produced by post selecting a photon pair from independent sources [11]. In these experiments, it is observed that ...
MORE ON ERROR CORRECTION. Slides in PPT.
... Encode qubits (together with extra ancillary qubits) in a state where subsequent errors can be corrected. Allows long algorithms requiring many operations to run, as errors can be corrected after they occur. ...
... Encode qubits (together with extra ancillary qubits) in a state where subsequent errors can be corrected. Allows long algorithms requiring many operations to run, as errors can be corrected after they occur. ...
Probability amplitude
![](https://commons.wikimedia.org/wiki/Special:FilePath/Hydrogen_eigenstate_n5_l2_m1.png?width=300)
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.