Reivelt, K., Vlassov, S. (2014) Quantum SpinOff Learning Station
... So far we have investigated very simple quantum mechanical systems, such as photons, electrons, and hydrogen atoms. We have also learned about some quantum-mechanical phenomena like light emission and tunneling. However, realistic quantum mechanical systems consist of many atoms or molecules, and we ...
... So far we have investigated very simple quantum mechanical systems, such as photons, electrons, and hydrogen atoms. We have also learned about some quantum-mechanical phenomena like light emission and tunneling. However, realistic quantum mechanical systems consist of many atoms or molecules, and we ...
Matrix elements for the Coulomb interaction
... calculation of (1). In several publications, computation of these matrix elements for some specific values of k can be found, but, in general, they are restricted to the case n1 = n2 and the computation methods therein are complicated. The analytical method has been used in [4, 11-13] to compute (1) ...
... calculation of (1). In several publications, computation of these matrix elements for some specific values of k can be found, but, in general, they are restricted to the case n1 = n2 and the computation methods therein are complicated. The analytical method has been used in [4, 11-13] to compute (1) ...
here - LaBRI
... • Can quantum distributed algorithms be designed for any combinatorial problems of significance to practice or theory? • How many rounds are required to 3-color the ring in the studied quantum models and in -LOCAL? • What is the lower time bound on the (D+1)-coloring problem in quantum models? (cur ...
... • Can quantum distributed algorithms be designed for any combinatorial problems of significance to practice or theory? • How many rounds are required to 3-color the ring in the studied quantum models and in -LOCAL? • What is the lower time bound on the (D+1)-coloring problem in quantum models? (cur ...
Quantum HPC Sweden
... Solving linear systems of equations efficiently ▪ Quantum speedup can only be realized if the evolution exp(-iAt) can be implemented using a short circuit, i.e. it does not depend on lots of data ▪ Electromagnetic wave scattering problem (Clader et al, PRL, 2013) ...
... Solving linear systems of equations efficiently ▪ Quantum speedup can only be realized if the evolution exp(-iAt) can be implemented using a short circuit, i.e. it does not depend on lots of data ▪ Electromagnetic wave scattering problem (Clader et al, PRL, 2013) ...
Quantum Query Lower Bounds: The Adversary Method
... This isn’t quite as powerful as you might hope. In particular, it fails to give us a good lower bound when we can’t find sets Y and Z which have many strings hamming distance 1 away from each other. As motiviation consider the problem of distinguishing between strings of hamming weight 0 and strings ...
... This isn’t quite as powerful as you might hope. In particular, it fails to give us a good lower bound when we can’t find sets Y and Z which have many strings hamming distance 1 away from each other. As motiviation consider the problem of distinguishing between strings of hamming weight 0 and strings ...
On classical and quantum effects at scattering of fast charged
... The motion of a fast charged particle near direction of one of its planes or axes can be considered as a motion in the field of continuous planes or strings. These are the cases of particle channelling or over-barrier motion. A number of theoretical and experimental studies have been made devoted to ...
... The motion of a fast charged particle near direction of one of its planes or axes can be considered as a motion in the field of continuous planes or strings. These are the cases of particle channelling or over-barrier motion. A number of theoretical and experimental studies have been made devoted to ...
Zhang - Department of Computer Science and Engineering, CUHK
... • How to compare classical and quantum efficient computation? • An obvious lower bound: BPP ⊆ BQP • An upper bound (of quantum by classical) • [Thm*1] BQP ⊆ PSPACE – PSPACE: problems solvable in polynomial ...
... • How to compare classical and quantum efficient computation? • An obvious lower bound: BPP ⊆ BQP • An upper bound (of quantum by classical) • [Thm*1] BQP ⊆ PSPACE – PSPACE: problems solvable in polynomial ...
Lecture 29: Motion in a Central Potential Phy851 Fall 2009
... • For Spherically Symmetric Harmonic Oscillator, we have: ...
... • For Spherically Symmetric Harmonic Oscillator, we have: ...
QUANTUM MECHANICAL MODEL OF THE ATOM
... • The electronic configuration of different atoms can be represented in two ways. a. sapbdc...... notation. b. Orbital diagram:, each orbital of the subshell is represented by a box and the electron is represented by an arrow (↑) a positive spin or an arrow (↓) a negative spin. ...
... • The electronic configuration of different atoms can be represented in two ways. a. sapbdc...... notation. b. Orbital diagram:, each orbital of the subshell is represented by a box and the electron is represented by an arrow (↑) a positive spin or an arrow (↓) a negative spin. ...
Planck`s quantum theory
... The square of the function evaluated at a particular point in space indicates the probability of finding the electron at that point. ...
... The square of the function evaluated at a particular point in space indicates the probability of finding the electron at that point. ...
pptx - Harvard Condensed Matter Theory group
... Experimental demonstration with photons Topological properties unique to dynamics Experimental demonstration with photons ...
... Experimental demonstration with photons Topological properties unique to dynamics Experimental demonstration with photons ...
Phys. Rev. Lett. 108, 100501 - APS Link Manager
... limit of a classical crystal, Eint d2 =L for d aR , where d is the distance between the qubits and the ends of the quantum bus. Owing to quantum fluctuations, the classical crystal cannot be the true ground state, and the system is rather described in terms of a Luttinger liquid [27,28]. However ...
... limit of a classical crystal, Eint d2 =L for d aR , where d is the distance between the qubits and the ends of the quantum bus. Owing to quantum fluctuations, the classical crystal cannot be the true ground state, and the system is rather described in terms of a Luttinger liquid [27,28]. However ...
Time Evolution in Quantum Mechanics
... Figure 15.2: Potential experienced by electron in O−2 ion. For increasing V0 (the height of the barrier), the off-diagonal element of the Hamiltonian decreases, becoming zero when the barrier is infinitely high. So, from a classical physics perspective, the electron would reside in the vicinity of t ...
... Figure 15.2: Potential experienced by electron in O−2 ion. For increasing V0 (the height of the barrier), the off-diagonal element of the Hamiltonian decreases, becoming zero when the barrier is infinitely high. So, from a classical physics perspective, the electron would reside in the vicinity of t ...
Anyons in the fractional quantum Hall effect
... spin is quantized in half integers [15]. Although the text-book derivation looks general enough 1 it is, however, limited to 3D. In the argument the ladder operators which are constructed from noncommuting generators of the angular momentum algebra are used. Such an argument obviously fails in 2D b ...
... spin is quantized in half integers [15]. Although the text-book derivation looks general enough 1 it is, however, limited to 3D. In the argument the ladder operators which are constructed from noncommuting generators of the angular momentum algebra are used. Such an argument obviously fails in 2D b ...
The Transactional Interpretation of Quantum Mechanics http://www
... 1. we have a quantum beam-splitter in superposition of being present or absent, the interferometer is in a superposition of being closed or open. This forces the quantum entity to be in a superposition of particle and wave at the same time. 2. The proposal, explicitly elaborates that both particle a ...
... 1. we have a quantum beam-splitter in superposition of being present or absent, the interferometer is in a superposition of being closed or open. This forces the quantum entity to be in a superposition of particle and wave at the same time. 2. The proposal, explicitly elaborates that both particle a ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).