Exploring the quantum speed limit with computer games arXiv
... shown in Fig. 3b. Using the first solution, marked in yellow in Fig. 3b, the atom is collected by tunneling the wave function into a tweezer potential placed on the left hand side of the static potential. In the second class of shoveling solutions, marked in blue in Fig. 3b, the tweezer is moved pas ...
... shown in Fig. 3b. Using the first solution, marked in yellow in Fig. 3b, the atom is collected by tunneling the wave function into a tweezer potential placed on the left hand side of the static potential. In the second class of shoveling solutions, marked in blue in Fig. 3b, the tweezer is moved pas ...
Physical systems for the solution of hard computational problems
... (because checking an answer is the one thing we know to be easy), and there do not appear to be any significant shortcuts. A crucial property of the NP problem class is that there exist problem types which can be reduced to any other problem type in NP (i.e. we can restate any problem in NP as an ex ...
... (because checking an answer is the one thing we know to be easy), and there do not appear to be any significant shortcuts. A crucial property of the NP problem class is that there exist problem types which can be reduced to any other problem type in NP (i.e. we can restate any problem in NP as an ex ...
powerpoint - University of Illinois Urbana
... been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusion ...
... been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusion ...
Consciousness as a State of Matter
... physics. Another argument is that physics has been managed just fine for hundreds of years by avoiding this subject, and should therefore keep doing so. Yet the fact that most physics problems can be solved without reference to consciousness does not guarantee that this applies to all physics proble ...
... physics. Another argument is that physics has been managed just fine for hundreds of years by avoiding this subject, and should therefore keep doing so. Yet the fact that most physics problems can be solved without reference to consciousness does not guarantee that this applies to all physics proble ...
Laplace Transform for the Damped Driven
... You’ll recognize this as the differential equation of motion for the damped driven oscillator. For example, a mass m at the end of a spring constant k with damping coefficient λ which is being driven by an externally applied force F (t). At any instant of time t, the net force on the mass m is x ≡ ...
... You’ll recognize this as the differential equation of motion for the damped driven oscillator. For example, a mass m at the end of a spring constant k with damping coefficient λ which is being driven by an externally applied force F (t). At any instant of time t, the net force on the mass m is x ≡ ...
Reconstructing the dynamics of a movable mirror in a
... this task is to cool the mechanical system, treated as an oscillator of frequency ωM , to a temperature T ∗ such that thermal fluctuations are small compared to the ground state energy, i.e. kB T ∗ h̄ωM (kB is the Boltzmann constant). Recently, various cooling strategies have been suggested based ...
... this task is to cool the mechanical system, treated as an oscillator of frequency ωM , to a temperature T ∗ such that thermal fluctuations are small compared to the ground state energy, i.e. kB T ∗ h̄ωM (kB is the Boltzmann constant). Recently, various cooling strategies have been suggested based ...
Four-photon orbital angular momentum entanglement
... matched simultaneously. In contrast to experiments on polarization entanglement, here, even small misalignment does not only reduce count rates but also alters the measurement projectors by inducing small rotations in the respective single-particle Hilbert space, and the 4-fold mode-matching exponen ...
... matched simultaneously. In contrast to experiments on polarization entanglement, here, even small misalignment does not only reduce count rates but also alters the measurement projectors by inducing small rotations in the respective single-particle Hilbert space, and the 4-fold mode-matching exponen ...
Bohmian Trajectories of the Two-Electron Helium Atom
... probability equal to unity of finding the system at some point in configuration space. Although this interpretation is consistent with logic and experiment, it makes quantum mechanics a statistical theory and does not provide a way to predict the outcomes of individual experiments. This inability to ...
... probability equal to unity of finding the system at some point in configuration space. Although this interpretation is consistent with logic and experiment, it makes quantum mechanics a statistical theory and does not provide a way to predict the outcomes of individual experiments. This inability to ...
Polarized Light and Quantum Mechanics
... The light incident on the first polarizer is unpolarized, but the photons that pass the vertical polarizer are vertically polarized. In other words the photons are eigenfunctions of the measurement operator, which in this case is a vertically oriented linear polarizer. At this point only two experim ...
... The light incident on the first polarizer is unpolarized, but the photons that pass the vertical polarizer are vertically polarized. In other words the photons are eigenfunctions of the measurement operator, which in this case is a vertically oriented linear polarizer. At this point only two experim ...
1 Equivalent Equations (transposing equations)
... p + 2 (v − nb) = nRT (van der Waals equation) V ...
... p + 2 (v − nb) = nRT (van der Waals equation) V ...
The status of cosmological natural selection
... Hence the ensemble E is updated by a discrete series of steps, in each steps one new universe is created for each black hole in an existing universe. Under very mild assumptions for the fitness function one can show that after many steps the ensemble converges to one in which almost every member is ...
... Hence the ensemble E is updated by a discrete series of steps, in each steps one new universe is created for each black hole in an existing universe. Under very mild assumptions for the fitness function one can show that after many steps the ensemble converges to one in which almost every member is ...
The electronic Hamiltonian in an electromagnetic field
... the stationary path q(t) together with an allowed variation q(t) + δq(t) in a one-dimensional trajectory between the fixed end points q(t1 ) and q(t2 ). Note that the trajectories are paths in the configuration space of dimension n equal to the number of coordinates qi . The Lagrangian is not unique ...
... the stationary path q(t) together with an allowed variation q(t) + δq(t) in a one-dimensional trajectory between the fixed end points q(t1 ) and q(t2 ). Note that the trajectories are paths in the configuration space of dimension n equal to the number of coordinates qi . The Lagrangian is not unique ...
BOLTZMANN`S ENTROPY AND TIME`S ARROW
... when this ratio is finite but very large; it is, however, clearly impossible when the system contains only one or a few particles. I use this example, despite its highly idealized nature, because here all the mathematical i's have been dotted. The Lorentz gas shows ipso facto, in a way that should c ...
... when this ratio is finite but very large; it is, however, clearly impossible when the system contains only one or a few particles. I use this example, despite its highly idealized nature, because here all the mathematical i's have been dotted. The Lorentz gas shows ipso facto, in a way that should c ...
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... a (semi)additive structure, the superpositions characteristic of quantum phenomena can be captured at this abstract level. Moreover, the biproduct structure interacts with the compact-closed structure in a non-trivial fashion. In particular, the distributivity of tensor product over biproduct allows ...
... a (semi)additive structure, the superpositions characteristic of quantum phenomena can be captured at this abstract level. Moreover, the biproduct structure interacts with the compact-closed structure in a non-trivial fashion. In particular, the distributivity of tensor product over biproduct allows ...
"Liquid-State NMR Quantum Computing" in
... in a superposition state |f (0) + |f (1) will give either “f(0)” or “f(1),” with equal probabilities, while causing instantaneous and complete decoherence. Similarly, after doing 2n computations all at once, resulting in a superposition of 2n output values, a measurement of the qubits randomly ret ...
... in a superposition state |f (0) + |f (1) will give either “f(0)” or “f(1),” with equal probabilities, while causing instantaneous and complete decoherence. Similarly, after doing 2n computations all at once, resulting in a superposition of 2n output values, a measurement of the qubits randomly ret ...
Towards Understanding the Internal Symmetries of Nature: Gauge
... and cos means the cosine function. The sum of the first two terms in Equation A.1b is exactly what we would have if we didn’t need to treat A and B as vectors but could treat them just as scalars. However, because here they must be treated mathematically as vectors, we must include the second term o ...
... and cos means the cosine function. The sum of the first two terms in Equation A.1b is exactly what we would have if we didn’t need to treat A and B as vectors but could treat them just as scalars. However, because here they must be treated mathematically as vectors, we must include the second term o ...
Liquid-State NMR Quantum Computing
... in a superposition state |f (0)" + |f (1)" will give either “f(0)” or “f(1),” with equal probabilities, while causing instantaneous and complete decoherence. Similarly, after doing 2n computations all at once, resulting in a superposition of 2n output values, a measurement of the qubits randomly ret ...
... in a superposition state |f (0)" + |f (1)" will give either “f(0)” or “f(1),” with equal probabilities, while causing instantaneous and complete decoherence. Similarly, after doing 2n computations all at once, resulting in a superposition of 2n output values, a measurement of the qubits randomly ret ...
