Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Quantum_tomography> ?p ?o }
- Quantum_tomography abstract "Quantum tomography or quantum state tomography is the process of reconstructing the quantum state (density matrix) for a source of quantum systems by measurements on the systems coming from the source. The source may be any device or system which prepares quantum states either consistently into quantum pure states or otherwise into general mixed states. To be able to uniquely identify the state, the measurements must be tomographically complete. That is, the measured operators must form an operator basis on the Hilbert space of the system, providing all the information about the state. Such a set of observations is sometimes called a quorum. In quantum process tomography on the other hand, known quantum states are used to probe a quantum process to find out how the process can be described. Similarly, quantum measurement tomography works to find out what measurement is being performed.The general principle behind quantum state tomography is that by repeatedly performing many different measurements on quantum systems described by identical density matrices, frequency counts can be used to infer probabilities, and these probabilities are combined with Born's rule to determine a density matrix which fits the best with the observations.This can be easily understood by making a classical analogy. Let us consider a harmonic oscillator (e.g. a pendulum). The position and momentum of the oscillator at any given point can be measured and therefore the motion can be completely described by the phase space. This is shown in figure 1. By performing this measurement for a large number of identical oscillators we get a possibility distribution in the phase space (figure 2). This distribution can be normalized (the oscillator at a given time has to be somewhere) and the distribution must be non-negative. So we have retrieved a function W(x,p) which gives a description of the chance of finding the particle at a given point with a given momentum. For quantum mechanical particles the same can be done. The only difference is that the Heisenberg’s uncertainty principle mustn’t be violated, meaning that we cannot measure the particle’s momentum and position at the same time. The particle’s momentum and its position are called quadratures (see Optical phase space for more information) in quantum related states. By measuring one of the quadratures of a large number of identical quantum states will give us a probability density corresponding to that particular quadrature. This is called the marginal distribution, pr(X) or pr(P) (see figure 3). In the following text we will see that this probability density is needed to characterize the particle’s quantum state, which is the whole point of quantum tomography.".
- Quantum_tomography thumbnail Figure_1.PNG?width=300.
- Quantum_tomography wikiPageID "2050667".
- Quantum_tomography wikiPageLength "34684".
- Quantum_tomography wikiPageOutDegree "139".
- Quantum_tomography wikiPageRevisionID "680927926".
- Quantum_tomography wikiPageWikiLink Amplifier.
- Quantum_tomography wikiPageWikiLink Angle.
- Quantum_tomography wikiPageWikiLink Basis_(linear_algebra).
- Quantum_tomography wikiPageWikiLink Bayesian_average.
- Quantum_tomography wikiPageWikiLink Bayesian_probability.
- Quantum_tomography wikiPageWikiLink Beam_splitter.
- Quantum_tomography wikiPageWikiLink Beamsplitter.
- Quantum_tomography wikiPageWikiLink Bloch_sphere.
- Quantum_tomography wikiPageWikiLink Born_rule.
- Quantum_tomography wikiPageWikiLink Borns_rule.
- Quantum_tomography wikiPageWikiLink Boundary_(topology).
- Quantum_tomography wikiPageWikiLink Canonical_quantization.
- Quantum_tomography wikiPageWikiLink Category:Quantum_mechanics.
- Quantum_tomography wikiPageWikiLink Category:Tomography.
- Quantum_tomography wikiPageWikiLink Completely_positive_map.
- Quantum_tomography wikiPageWikiLink Compressed_sensing.
- Quantum_tomography wikiPageWikiLink Crystal.
- Quantum_tomography wikiPageWikiLink Density_matrices.
- Quantum_tomography wikiPageWikiLink Density_matrix.
- Quantum_tomography wikiPageWikiLink Dimension_(vector_space).
- Quantum_tomography wikiPageWikiLink Eigenvalues.
- Quantum_tomography wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Quantum_tomography wikiPageWikiLink Electric_current.
- Quantum_tomography wikiPageWikiLink Field_operator.
- Quantum_tomography wikiPageWikiLink Finite-dimensional.
- Quantum_tomography wikiPageWikiLink Fock_state.
- Quantum_tomography wikiPageWikiLink Fourier_inversion_theorem.
- Quantum_tomography wikiPageWikiLink Frequency.
- Quantum_tomography wikiPageWikiLink Frequency_doubling.
- Quantum_tomography wikiPageWikiLink Generalized_inverse.
- Quantum_tomography wikiPageWikiLink Harmonic_oscillator.
- Quantum_tomography wikiPageWikiLink Hilbert_space.
- Quantum_tomography wikiPageWikiLink Hilbert_spaces.
- Quantum_tomography wikiPageWikiLink Histogram.
- Quantum_tomography wikiPageWikiLink Homodyne.
- Quantum_tomography wikiPageWikiLink Homodyne_detection.
- Quantum_tomography wikiPageWikiLink Interferometer.
- Quantum_tomography wikiPageWikiLink Interferometry.
- Quantum_tomography wikiPageWikiLink Inverse_Fourier_transform.
- Quantum_tomography wikiPageWikiLink Inverse_element.
- Quantum_tomography wikiPageWikiLink Invertible.
- Quantum_tomography wikiPageWikiLink Laser.
- Quantum_tomography wikiPageWikiLink Light.
- Quantum_tomography wikiPageWikiLink Likelihood.
- Quantum_tomography wikiPageWikiLink Likelihood_function.
- Quantum_tomography wikiPageWikiLink Linear_independence.
- Quantum_tomography wikiPageWikiLink Linear_map.
- Quantum_tomography wikiPageWikiLink Linear_operators.
- Quantum_tomography wikiPageWikiLink Linearly_independent.
- Quantum_tomography wikiPageWikiLink Local_oscillator.
- Quantum_tomography wikiPageWikiLink Marginal_distribution.
- Quantum_tomography wikiPageWikiLink Matrix_completion.
- Quantum_tomography wikiPageWikiLink Maximum_likelihood.
- Quantum_tomography wikiPageWikiLink Maximum_likelihood_estimation.
- Quantum_tomography wikiPageWikiLink Mixed_state_(physics).
- Quantum_tomography wikiPageWikiLink Momentum.
- Quantum_tomography wikiPageWikiLink Noise_floor.
- Quantum_tomography wikiPageWikiLink Nonclassical_light.
- Quantum_tomography wikiPageWikiLink Operator_(mathematics).
- Quantum_tomography wikiPageWikiLink Optical_mode.
- Quantum_tomography wikiPageWikiLink Optical_phase_space.
- Quantum_tomography wikiPageWikiLink POVM.
- Quantum_tomography wikiPageWikiLink Parametric_down-conversion.
- Quantum_tomography wikiPageWikiLink Phase_(waves).
- Quantum_tomography wikiPageWikiLink Phase_space.
- Quantum_tomography wikiPageWikiLink Photodetector.
- Quantum_tomography wikiPageWikiLink Photodetectors.
- Quantum_tomography wikiPageWikiLink Photon_number.
- Quantum_tomography wikiPageWikiLink Position_(vector).
- Quantum_tomography wikiPageWikiLink Probabilities.
- Quantum_tomography wikiPageWikiLink Probability.
- Quantum_tomography wikiPageWikiLink Probability_density_function.
- Quantum_tomography wikiPageWikiLink Probability_distribution.
- Quantum_tomography wikiPageWikiLink Projection_(linear_algebra).
- Quantum_tomography wikiPageWikiLink Pseudoinverse.
- Quantum_tomography wikiPageWikiLink Pure_state.
- Quantum_tomography wikiPageWikiLink Pure_states.
- Quantum_tomography wikiPageWikiLink Purity_(quantum_mechanics).
- Quantum_tomography wikiPageWikiLink Quantum_Retrodiction.
- Quantum_tomography wikiPageWikiLink Quantum_computing.
- Quantum_tomography wikiPageWikiLink Quantum_entanglement.
- Quantum_tomography wikiPageWikiLink Quantum_information.
- Quantum_tomography wikiPageWikiLink Quantum_information_theory.
- Quantum_tomography wikiPageWikiLink Quantum_state.
- Quantum_tomography wikiPageWikiLink Quantum_states.
- Quantum_tomography wikiPageWikiLink Qubit.
- Quantum_tomography wikiPageWikiLink Qubits.
- Quantum_tomography wikiPageWikiLink Radon_transform.
- Quantum_tomography wikiPageWikiLink Radon_transformation.
- Quantum_tomography wikiPageWikiLink Rank_(linear_algebra).
- Quantum_tomography wikiPageWikiLink Rank_deficient.
- Quantum_tomography wikiPageWikiLink Second-harmonic_generation.
- Quantum_tomography wikiPageWikiLink Spontaneous_parametric_down-conversion.
- Quantum_tomography wikiPageWikiLink Superoperator.