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How Many Query Superpositions Are Needed to Learn?
... learning settings they conclude that dramatic improvements on the number of oracle interactions are not possible. Ambainis et al. [2] and Atici and Servedio [4] give non-trivial upper bounds for quantum exact learning from membership queries. Finally, Hunziker et al. [16] show a general technique fo ...
... learning settings they conclude that dramatic improvements on the number of oracle interactions are not possible. Ambainis et al. [2] and Atici and Servedio [4] give non-trivial upper bounds for quantum exact learning from membership queries. Finally, Hunziker et al. [16] show a general technique fo ...
manuscript - University of Hertfordshire
... vortex form (Fig. 3 in Ref. [4]), just like in the classical case. The quantum harmonic oscillator and its isomorphism [18], the free quantum particle [19], constitute exceptional, degenerate cases where lines of stagnation of Wigner flow occur, and not only isolated stagnation points. This is due t ...
... vortex form (Fig. 3 in Ref. [4]), just like in the classical case. The quantum harmonic oscillator and its isomorphism [18], the free quantum particle [19], constitute exceptional, degenerate cases where lines of stagnation of Wigner flow occur, and not only isolated stagnation points. This is due t ...
Transport Equations for Semiconductors
... This leads to a hierarchy of semiconductor models. Roughly speaking, we distinguish three classes of semiconductor models: quantum models, kinetic models, and fluiddynamical (macroscopic) models. In order to give some flavor of these models, we explain these three view points, quantum, kinetic, and ...
... This leads to a hierarchy of semiconductor models. Roughly speaking, we distinguish three classes of semiconductor models: quantum models, kinetic models, and fluiddynamical (macroscopic) models. In order to give some flavor of these models, we explain these three view points, quantum, kinetic, and ...
Quantum Annealing Implementation of Job
... The commercialization and independent benchmarking [1–4] of quantum annealers based on superconducting qubits has sparked a surge of interest for near-term practical applications of quantum analog computation in the optimization research community. Many of the early proposals for running useful prob ...
... The commercialization and independent benchmarking [1–4] of quantum annealers based on superconducting qubits has sparked a surge of interest for near-term practical applications of quantum analog computation in the optimization research community. Many of the early proposals for running useful prob ...
A REPORT ON QUANTUM COMPUTING
... Gershenfeld says that if making transistors smaller and smaller is continued with the same rate as in the past years, then by the year of 2020, the width of a wire in a computer chip will be no more than a size of a single atom. These are sizes for which rules of classical physics no longer apply. I ...
... Gershenfeld says that if making transistors smaller and smaller is continued with the same rate as in the past years, then by the year of 2020, the width of a wire in a computer chip will be no more than a size of a single atom. These are sizes for which rules of classical physics no longer apply. I ...
Quantum Rotations: A Case Study in Static and Dynamic Machine
... a qubit. The initial state s1 rotates θ radians about the Z-axis. The resultant state, s2 , maintains the same superposition but has a phase shifted by θ. act on a single qubit. An accessible example is the quantum NOT gate which performs a 180 degree rotation about the X- axis. When applied to a cl ...
... a qubit. The initial state s1 rotates θ radians about the Z-axis. The resultant state, s2 , maintains the same superposition but has a phase shifted by θ. act on a single qubit. An accessible example is the quantum NOT gate which performs a 180 degree rotation about the X- axis. When applied to a cl ...
Bohmian Trajectories of the Two-Electron Helium Atom
... made even more evident in Heisenberg’s Uncertainty Principle which is a consequence of the non-commutative mathematics behind the theory. It says that there are certain pairs of measurable quantities associated with every system that are termed complementary observables. For a given pair of compleme ...
... made even more evident in Heisenberg’s Uncertainty Principle which is a consequence of the non-commutative mathematics behind the theory. It says that there are certain pairs of measurable quantities associated with every system that are termed complementary observables. For a given pair of compleme ...
Quantum Theory Cannot Hurt You
... explanation for the “pressure” of a gas, which kept a balloon inflated or pushed against the piston of a steam engine. When confined in any container, the atoms of a gas would drum relentlessly on the walls like hailstones on a tin roof. Their combined effect would be to create a jittery force that, ...
... explanation for the “pressure” of a gas, which kept a balloon inflated or pushed against the piston of a steam engine. When confined in any container, the atoms of a gas would drum relentlessly on the walls like hailstones on a tin roof. Their combined effect would be to create a jittery force that, ...
Fractional topological ordered phases.
... Interestingly, electrons in the TIs discovered so far indeed behave as if they were non-interacting, i.e., besides being unaffected by detrimental effects within the material such as imperfections etc., the electrons in these new materials essentially do not interact with one another – despite being ...
... Interestingly, electrons in the TIs discovered so far indeed behave as if they were non-interacting, i.e., besides being unaffected by detrimental effects within the material such as imperfections etc., the electrons in these new materials essentially do not interact with one another – despite being ...
Spin Flips and Quantum Information for Antiparallel Spins
... simpler than that, to merely rename the outputs of each Stern-Gerlach “up” ! down and “down” ! up. But given the above, why can not Bob solve the problem of two spins in the same way, just by performing a passive transformation on the apparatuses used to measure the second spin? The problem is the e ...
... simpler than that, to merely rename the outputs of each Stern-Gerlach “up” ! down and “down” ! up. But given the above, why can not Bob solve the problem of two spins in the same way, just by performing a passive transformation on the apparatuses used to measure the second spin? The problem is the e ...
Quantum electrodynamics
![](https://commons.wikimedia.org/wiki/Special:FilePath/Dirac_3.jpg?width=300)
In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and special relativity is achieved. QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction.In technical terms, QED can be described as a perturbation theory of the electromagnetic quantum vacuum. Richard Feynman called it ""the jewel of physics"" for its extremely accurate predictions of quantities like the anomalous magnetic moment of the electron and the Lamb shift of the energy levels of hydrogen.