The 2005 Nobel Prize in Physics: Optics
... the sense that the unavoidable or inescapable uncertainty principle of quantum mechanics is barely obeyed. They also turn out to be as close to having a definite 'phase' - in contrast to a definite photon number - as is possible in the quantum framework. We will conclude this part of our article by ...
... the sense that the unavoidable or inescapable uncertainty principle of quantum mechanics is barely obeyed. They also turn out to be as close to having a definite 'phase' - in contrast to a definite photon number - as is possible in the quantum framework. We will conclude this part of our article by ...
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... lattice convolutions was formulated by Hosemann and Bagchi in [?] using basic techniques of Fourier analysis and convolution products. A natural generalization of such molecular, partial symmetries and their corresponding analytical versions involves convolution algebras – a functional/distribution ...
... lattice convolutions was formulated by Hosemann and Bagchi in [?] using basic techniques of Fourier analysis and convolution products. A natural generalization of such molecular, partial symmetries and their corresponding analytical versions involves convolution algebras – a functional/distribution ...
On the Derivation of the Time-Dependent Equation of Schrodinger
... Eq. (2) is redundant? However, there is a more serious objection to the solution Eq. (2) and its FeynmanHibbs interpretation. An oscillation frequency is, by definition, positive definite. However, the quantity (E S ) is not absolutely defined and can take on any value, negative or positive, arbi ...
... Eq. (2) is redundant? However, there is a more serious objection to the solution Eq. (2) and its FeynmanHibbs interpretation. An oscillation frequency is, by definition, positive definite. However, the quantity (E S ) is not absolutely defined and can take on any value, negative or positive, arbi ...
Another version - Scott Aaronson
... about! That changes the output distribution by only exp(-n), so we still have an excellent sampler … but we can no longer use it to estimate |Per(A)|2 in BPPNP To get around this difficulty, it seems we need to “smuggle in” the matrix A that we about as a random ...
... about! That changes the output distribution by only exp(-n), so we still have an excellent sampler … but we can no longer use it to estimate |Per(A)|2 in BPPNP To get around this difficulty, it seems we need to “smuggle in” the matrix A that we about as a random ...
philphys - General Guide To Personal and Societies Web Space
... understood much better than he. It is in the equations that the problem of measurement is most starkly seen. The state ψ in non-relativistic quantum mechanics is a function on the configuration space of a system (or one isomorphic to it, like momentum space). A point in this space specifies the posi ...
... understood much better than he. It is in the equations that the problem of measurement is most starkly seen. The state ψ in non-relativistic quantum mechanics is a function on the configuration space of a system (or one isomorphic to it, like momentum space). A point in this space specifies the posi ...
`Quantum Cheshire Cat`as Simple Quantum Interference
... where the photon is measured in the left arm of the interferometer (the beam was displaced up by δy ) and, at the same time, there is positive angular momentum on the right arm of the interferometer (the beam was displaced sideways by δx ). However, as pointed out in our calculations, the probabilit ...
... where the photon is measured in the left arm of the interferometer (the beam was displaced up by δy ) and, at the same time, there is positive angular momentum on the right arm of the interferometer (the beam was displaced sideways by δx ). However, as pointed out in our calculations, the probabilit ...
Quantum Algorithms and the Genetic Code
... from the t-RNA molecules and bind themselves into a chain. The process again proceeds monotonically from the 5′ end to the 3′ end of the m-RNA. After the amino acids split off, the remnant t-RNA molecules are recycled. This completes the transfer of the genetic code from DNA to proteins. • Enzymes p ...
... from the t-RNA molecules and bind themselves into a chain. The process again proceeds monotonically from the 5′ end to the 3′ end of the m-RNA. After the amino acids split off, the remnant t-RNA molecules are recycled. This completes the transfer of the genetic code from DNA to proteins. • Enzymes p ...
QUANTUM ALGORITHMS FOR ELEMENT DISTINCTNESS∗ 1
... 1. Introduction. In the last decade, quantum computing has become a prominent and promising area of theoretical computer science. Realizing this promise requires two things: (1) actually building a quantum computer and (2) discovering tasks where a quantum computer is significantly faster than a cla ...
... 1. Introduction. In the last decade, quantum computing has become a prominent and promising area of theoretical computer science. Realizing this promise requires two things: (1) actually building a quantum computer and (2) discovering tasks where a quantum computer is significantly faster than a cla ...
Exploring Quantum Physics with Superconducting Circuits
... Teleportation … what one may wish for !? ...
... Teleportation … what one may wish for !? ...
High Level Quantum Structures in Linguistics and
... m · q = ⊥ we say q cannot be applied to m. To represent these, we define a kernel for each action q ∈ Q as follows Ker(q) := {m ∈ M | m · q = ⊥}, This is the weakest proposition to which the action cannot be applied, that is Ker(q) = [q]⊥. Examples are public and private refutations of propositions. ...
... m · q = ⊥ we say q cannot be applied to m. To represent these, we define a kernel for each action q ∈ Q as follows Ker(q) := {m ∈ M | m · q = ⊥}, This is the weakest proposition to which the action cannot be applied, that is Ker(q) = [q]⊥. Examples are public and private refutations of propositions. ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.