arXiv:0803.3834v2 [quant-ph] 26 May 2009
... for new students. The quantum description of angular momentum involves differential operators or new algebra rules that seem to be disconnected from the classical intuition. For small values of angular momentum one needs a quantum description because the quantum fluctuations are as big as the angula ...
... for new students. The quantum description of angular momentum involves differential operators or new algebra rules that seem to be disconnected from the classical intuition. For small values of angular momentum one needs a quantum description because the quantum fluctuations are as big as the angula ...
A simple experiment for discussion of quantum interference and
... fringes, attributed originally to Niels Bohr, assigns the blame to the inevitable disruption associated with the measurement process. An interrogating probe 共such as a photon兲 must have a sufficiently short wavelength to be able to distinguish the two paths, and in the process of interacting with th ...
... fringes, attributed originally to Niels Bohr, assigns the blame to the inevitable disruption associated with the measurement process. An interrogating probe 共such as a photon兲 must have a sufficiently short wavelength to be able to distinguish the two paths, and in the process of interacting with th ...
Surrey seminar on CQP - School of Computing Science
... sending the qubit to Bob. Alice(x:Qbit, q:^[Qbit], n:0..3) = {x *= n} . q![x] . Continue The type system of CQP guarantees that Continue does not refer to x. Technically: the fact that x is sent along q means that Continue is typechecked in an environment which does not contain x. The details are b ...
... sending the qubit to Bob. Alice(x:Qbit, q:^[Qbit], n:0..3) = {x *= n} . q![x] . Continue The type system of CQP guarantees that Continue does not refer to x. Technically: the fact that x is sent along q means that Continue is typechecked in an environment which does not contain x. The details are b ...
V720 -Testing of Geiger Mode APDs (GmAPs)
... The trap has a tunnel lifetime because it is technically not a stationary state; rather, it is a resonance state with a complex energy (the imaginary component means the wave function evolves with time and ‘leaks’ out of the trap potential). Numerical techniques are required to solve for the tunnel ...
... The trap has a tunnel lifetime because it is technically not a stationary state; rather, it is a resonance state with a complex energy (the imaginary component means the wave function evolves with time and ‘leaks’ out of the trap potential). Numerical techniques are required to solve for the tunnel ...
Low-Density Random Matrices for Secret Key Extraction
... dom matrices to the secret-key-extraction problem described above. Specifically, let M be an m × n low-density random matrix over GF (2), and compute the secret key as Y = M X. We show that as n becomes large enough, the number of secret bits that can be extracted by this method approaches mine H(A| ...
... dom matrices to the secret-key-extraction problem described above. Specifically, let M be an m × n low-density random matrix over GF (2), and compute the secret key as Y = M X. We show that as n becomes large enough, the number of secret bits that can be extracted by this method approaches mine H(A| ...
Long-Range Correlations in the Nonequilibrium Quantum Relaxation of a Spin... V 85, N 15
... this moment C̃L 共t兲 jumps to its maximum (see ii). After this, this signal is superposed by other more incoherent signals (see iii). However, the strongest initial signal is reflected at both boundaries and reaches the opposite boundary spins simultaneously again at time t 苷 3th 共L兲 (see iv), and so ...
... this moment C̃L 共t兲 jumps to its maximum (see ii). After this, this signal is superposed by other more incoherent signals (see iii). However, the strongest initial signal is reflected at both boundaries and reaches the opposite boundary spins simultaneously again at time t 苷 3th 共L兲 (see iv), and so ...
A RANDOM CHANGE OF VARIABLES AND APPLICATIONS TO
... where Φ(x) = 0 yq(y)dy and Ψ(x) = xψ(x). Equation (1.7) appears in a variety of problems, including population dynamics and gas and water propagation. The underlying physical setting usually requires the solution ρ of (1.7) to be nonnegative for all t > 0 and x ∈ R. The following two particular case ...
... where Φ(x) = 0 yq(y)dy and Ψ(x) = xψ(x). Equation (1.7) appears in a variety of problems, including population dynamics and gas and water propagation. The underlying physical setting usually requires the solution ρ of (1.7) to be nonnegative for all t > 0 and x ∈ R. The following two particular case ...
Could Inelastic Interactions Induce Quantum Probabilistic Transitions?
... (2) Are quantum entities some variety of a kind of unproblematic, fundamentally probabilistic entity? In short, what everyone still tends to take for granted - namely that the quantum domain is inherently baffling and incomprehensible because it cannot be made sense of in terms of the classical part ...
... (2) Are quantum entities some variety of a kind of unproblematic, fundamentally probabilistic entity? In short, what everyone still tends to take for granted - namely that the quantum domain is inherently baffling and incomprehensible because it cannot be made sense of in terms of the classical part ...
Future Directions in Quantum Information
... The most powerful current application of quantum information technologies is in the field of precision measurement and sensing. For almost a decade now, the most precise atomic clock has been the NIST quantum logic clock that uses quantum logic to entangle optical and microwave transitions, yielding ...
... The most powerful current application of quantum information technologies is in the field of precision measurement and sensing. For almost a decade now, the most precise atomic clock has been the NIST quantum logic clock that uses quantum logic to entangle optical and microwave transitions, yielding ...
Complementarity in Quantum Mechanics and Classical Statistical
... of quantum mechanics is determined by the knowledge of its wave function Ψ(q, t) (or its generalization Ψ(q1 , q2 , . . . , qn , t) for a system with many constituents, notation that is omitted hereafter for the sake of simplicity). In fact, the knowledge of the wave function Ψ(q, t0 ) in an initial ...
... of quantum mechanics is determined by the knowledge of its wave function Ψ(q, t) (or its generalization Ψ(q1 , q2 , . . . , qn , t) for a system with many constituents, notation that is omitted hereafter for the sake of simplicity). In fact, the knowledge of the wave function Ψ(q, t0 ) in an initial ...
Quantum Rabi Oscillation A Direct Test of Field Quantization in a
... the Poisson law (solid lines), providing an acurate value of the mean photon number in each case: 0.40(±0.02), 0.85(±0.04) and 1.77(±0.15). This experiment can also be viewed as a measurement of the atom-cavity spectrum, deduced from the JaynesCummings Hamiltonian. The excited levels of this system ...
... the Poisson law (solid lines), providing an acurate value of the mean photon number in each case: 0.40(±0.02), 0.85(±0.04) and 1.77(±0.15). This experiment can also be viewed as a measurement of the atom-cavity spectrum, deduced from the JaynesCummings Hamiltonian. The excited levels of this system ...
A macroscopic violation of no-signaling in time inequalities? How to
... University of Munich, Munich, Germany, 3 International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science, Linnaeus University, Växjö-Kalmar, Sweden ...
... University of Munich, Munich, Germany, 3 International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science, Linnaeus University, Växjö-Kalmar, Sweden ...
Decoherence of matter waves by thermal emission of radiation
... quantum nature. However, there must be a transition region between these two limiting cases. Interestingly, as we show in this study, C70 fullerene molecules have just the right amount of complexity to exhibit perfect quantum interference in our experiments13 at temperatures below 1,000 K, and to gr ...
... quantum nature. However, there must be a transition region between these two limiting cases. Interestingly, as we show in this study, C70 fullerene molecules have just the right amount of complexity to exhibit perfect quantum interference in our experiments13 at temperatures below 1,000 K, and to gr ...
Deutsch`s Algorithm
... can learn a global property of f (i.e. a property that depends on all the values of f(x)) by only applying f once The global property is encoded in the phase information, which we learn via interferometry Classically, one application of f will only allow us to probe its value on one input ...
... can learn a global property of f (i.e. a property that depends on all the values of f(x)) by only applying f once The global property is encoded in the phase information, which we learn via interferometry Classically, one application of f will only allow us to probe its value on one input ...
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.