Slides
... Noisy words cluster around the original code. But what if they all cluster around the same codeword ? One cluster no low-expansion !! What is the answer ? The uncertainty principle ? There is a high-degree of uncertainty at least two clusters. ...
... Noisy words cluster around the original code. But what if they all cluster around the same codeword ? One cluster no low-expansion !! What is the answer ? The uncertainty principle ? There is a high-degree of uncertainty at least two clusters. ...
Deep-sea clams feel the heat
... to the probability of finding the position or momentum of a particle. (These historical discussions are summarized in ref. 2.) Since we can always represent a complex number by its amplitude and phase, this implies that only the amplitude can be measured directly. The phase is also needed to uniquel ...
... to the probability of finding the position or momentum of a particle. (These historical discussions are summarized in ref. 2.) Since we can always represent a complex number by its amplitude and phase, this implies that only the amplitude can be measured directly. The phase is also needed to uniquel ...
Relation Between Schrödinger and Polymer Quantum Mechanics
... The only thing possible: approximate the non-existing term by a well defined function that can be quantized and hope for the best. Let us chose the position to be discrete, so p̂ does not exist. With this choice, the kinetic term p̂2/2m has to be approximated, for any potential. How is this done? Th ...
... The only thing possible: approximate the non-existing term by a well defined function that can be quantized and hope for the best. Let us chose the position to be discrete, so p̂ does not exist. With this choice, the kinetic term p̂2/2m has to be approximated, for any potential. How is this done? Th ...
LECTURES ON SYMPLECTIC REFLECTION ALGEBRAS 12. Calogero-Moser systems and quantum mechanics X
... obtained by restricting H to the open subset C Reg := T ∗ (Cn )Reg /Sn ,→ C. Thanks to the previous section, the trajectories for H are obtained by projecting those for H. Exercise 12.1. The trajectories for H are of the form (X − tY, Y ). So what remains to prove is that the map C Reg → C induced b ...
... obtained by restricting H to the open subset C Reg := T ∗ (Cn )Reg /Sn ,→ C. Thanks to the previous section, the trajectories for H are obtained by projecting those for H. Exercise 12.1. The trajectories for H are of the form (X − tY, Y ). So what remains to prove is that the map C Reg → C induced b ...
Physics 2018: Great Ideas in Science: The Physics Module Quantum
... 3. Since Newtonian and Maxwellian physics describe the macroscopic world so well, physicists developing quantum mechanics demanded that when applied to macroscopic systems, the new physics must reduce to the old physics =⇒ this Correspondence Principle was coined by Niels Bohr. 4. Due to quantum me ...
... 3. Since Newtonian and Maxwellian physics describe the macroscopic world so well, physicists developing quantum mechanics demanded that when applied to macroscopic systems, the new physics must reduce to the old physics =⇒ this Correspondence Principle was coined by Niels Bohr. 4. Due to quantum me ...
Ion Trap Quantum Technology for Quantum Computing
... (a) This chip trap was the first surface trap fabricated outside the U.S.; the inset shows a string of three calcium ions held in the trap each ion is used to store one qubit. (b) The first ion trap in the world to incorporate integrated microwave circuit elements (waveguides, couplers, resonant c ...
... (a) This chip trap was the first surface trap fabricated outside the U.S.; the inset shows a string of three calcium ions held in the trap each ion is used to store one qubit. (b) The first ion trap in the world to incorporate integrated microwave circuit elements (waveguides, couplers, resonant c ...
Set #5 - comsics
... 8. How would the solution to the one-dimensional infinite potential energy well be different if the potential energy were not zero for 0xL but instead had a constant value U0. What would be the energies of the excited states? What would be the wavelengths of the standing de Broglie waves? Sketch t ...
... 8. How would the solution to the one-dimensional infinite potential energy well be different if the potential energy were not zero for 0xL but instead had a constant value U0. What would be the energies of the excited states? What would be the wavelengths of the standing de Broglie waves? Sketch t ...
2014-15 Archived Abstracts
... approaches that could actually lead to building a quantum computer. Our optimism is based on two recent developments: a new hardware architecture for error detection based on “surface codes”, and recent improvements in the coherence of superconducting qubits. I will explain how the surface code is ...
... approaches that could actually lead to building a quantum computer. Our optimism is based on two recent developments: a new hardware architecture for error detection based on “surface codes”, and recent improvements in the coherence of superconducting qubits. I will explain how the surface code is ...
the quantum mechanical potential for the prime numbers
... The existence of a potential which admits all the prime numbers as its only eigenvalues has some important implications. For instance, a long-standing issue in number theory such as the primality test of a given number N can be completely resolved by the sole application of physical laws. To do this ...
... The existence of a potential which admits all the prime numbers as its only eigenvalues has some important implications. For instance, a long-standing issue in number theory such as the primality test of a given number N can be completely resolved by the sole application of physical laws. To do this ...
Solution
... classical limit of the quatum partition function Z. This expression can also be used in the presence of a potential energy. The interpretation of the above is the following. The (x, px ) projection of the phase space of the particle is discretized into cells ∆x∆px ∼ 2πh̄ = h, and equivalent expressi ...
... classical limit of the quatum partition function Z. This expression can also be used in the presence of a potential energy. The interpretation of the above is the following. The (x, px ) projection of the phase space of the particle is discretized into cells ∆x∆px ∼ 2πh̄ = h, and equivalent expressi ...
... states in the dot to external leads via a tunnel barrier. Furthermore, the charge on the dot can be controlled by a nearly metallic gate. The discrete charging energy gives rise to the phenomenon of Coulomb blockade, which manifests itself in the form of periodic peaks in the transmission (or conduc ...
