Fourier Transform, Period Finding and Factoring in BQP Lecture 4 1
... many y belong to this case? When r is coprime to M (which is the usual case when we run period finding as a subroutine in factoring), the set {ry | y ∈ ZM } is just ZM . Put differently, as y runs through ZM , the product ry also runs through ZM . Hence there are about 2 2r = r such y. Then Pr[Obser ...
... many y belong to this case? When r is coprime to M (which is the usual case when we run period finding as a subroutine in factoring), the set {ry | y ∈ ZM } is just ZM . Put differently, as y runs through ZM , the product ry also runs through ZM . Hence there are about 2 2r = r such y. Then Pr[Obser ...
On the Formal Verification of Optical Quantum Gates in HOL
... Recently, some developments for the formal verification of quantum optics has been conducted in higher-order logic (HOL) theorem proving [12] [14]. The main reason behind the choice of HOL is because of the high expressiveness it offers. Definitely, this comes at the expense of the full automation that ...
... Recently, some developments for the formal verification of quantum optics has been conducted in higher-order logic (HOL) theorem proving [12] [14]. The main reason behind the choice of HOL is because of the high expressiveness it offers. Definitely, this comes at the expense of the full automation that ...
Non-reciprocal Light-harvesting Antennae
... photon received might cause the α-helical polypeptides/ carotenoid/ bacteriochlorophyll complex to alter its shape or orientation, hence rendering impracticable the flow of the electromagnetic wave in the other direction. Theorists have previously remarked that the FMO complex might work as a recti ...
... photon received might cause the α-helical polypeptides/ carotenoid/ bacteriochlorophyll complex to alter its shape or orientation, hence rendering impracticable the flow of the electromagnetic wave in the other direction. Theorists have previously remarked that the FMO complex might work as a recti ...
The Parallel Development of Matrix and Wave Mechanics
... Because a conceptual clarification by means of an analogy which Schrödinger introduces in the second part, both articles are used. Also these two articles have many follow ups, but they too will not be discussed in this paper. The foremost secondary source used in this paper will be a book by Max J ...
... Because a conceptual clarification by means of an analogy which Schrödinger introduces in the second part, both articles are used. Also these two articles have many follow ups, but they too will not be discussed in this paper. The foremost secondary source used in this paper will be a book by Max J ...
A non-perturbative solution for Bloch electrons in constant magnetic
... where ρ and ϕ are the radial distance and the angle in cylindrical coordinates, and eϕ the unit vector in the ϕ-direction. Schrödinger’s equation for this vector potential A1 and the vanishing crystal potential V (x) contains the essence of the Aharonov-Bohm effect: An interference experiment with ...
... where ρ and ϕ are the radial distance and the angle in cylindrical coordinates, and eϕ the unit vector in the ϕ-direction. Schrödinger’s equation for this vector potential A1 and the vanishing crystal potential V (x) contains the essence of the Aharonov-Bohm effect: An interference experiment with ...
glossery - Paradigm Shift Now
... Delayed Choice Experiment: John A. Wheeler's brain child. Similar to the Double slit experiment, except we have a removable flat wall, with two cameras, each of which is pointing to one of the two slits, behind the wall. Now if we leave the flat wall in place, the photon results in an interference p ...
... Delayed Choice Experiment: John A. Wheeler's brain child. Similar to the Double slit experiment, except we have a removable flat wall, with two cameras, each of which is pointing to one of the two slits, behind the wall. Now if we leave the flat wall in place, the photon results in an interference p ...
Mass-Energy equivalence, Annihilation, Two
... models describe what happens, the how is not described. For example, the Breit-Wheeler model describes the evolution of the electron pair as something that merely appears in the mathematics, that 'one finds that at a time t … the wave function contains a term which may be interpreted as referring to ...
... models describe what happens, the how is not described. For example, the Breit-Wheeler model describes the evolution of the electron pair as something that merely appears in the mathematics, that 'one finds that at a time t … the wave function contains a term which may be interpreted as referring to ...
Electronic Structure of Multi-Electron Quantum Dots
... Quantum dots are artificially fabricated atoms, in which charge carriers are confined in all three dimensions just like electrons in real atoms. Consequently, they exhibit properties normally associated with real atoms such as quantised energy levels and shell structures. These properties are descri ...
... Quantum dots are artificially fabricated atoms, in which charge carriers are confined in all three dimensions just like electrons in real atoms. Consequently, they exhibit properties normally associated with real atoms such as quantised energy levels and shell structures. These properties are descri ...
G484 Module 2 4.2.2 Gravitational Fields a
... (b) Two spacecraft of masses 2500 kg and 3200 kg, when their centres of mass are 12 m apart. (c) Two protons, each of mass 1.67 x 10-27 kg, whose centres are 1.0 x 10-15 m apart. ...
... (b) Two spacecraft of masses 2500 kg and 3200 kg, when their centres of mass are 12 m apart. (c) Two protons, each of mass 1.67 x 10-27 kg, whose centres are 1.0 x 10-15 m apart. ...
Slides
... Bose condensation in a fluid of interacting particles involves the formation of a coherent matter field and leads to superfluidity. Phase coherence of the matter field leads to the quantization of circulation and to the existence of topological defects in the form of quantized vortices. These ...
... Bose condensation in a fluid of interacting particles involves the formation of a coherent matter field and leads to superfluidity. Phase coherence of the matter field leads to the quantization of circulation and to the existence of topological defects in the form of quantized vortices. These ...
An Exploration of Powerful Power of Thought Experiences
... Power of Thought 6 If we view Bohm’s concept of active information as acting on energy to produce effects and accept that at least some of that information may come from the observer, it seems more than plausible that this active information could be related to an interface point between our macro ...
... Power of Thought 6 If we view Bohm’s concept of active information as acting on energy to produce effects and accept that at least some of that information may come from the observer, it seems more than plausible that this active information could be related to an interface point between our macro ...
ibm_seminar - Stony Brook University
... the ‘Higgs’ even if it decays into invisible particles. It can tell us the Higgs quantum numbers, and its couplings to different particles. ...
... the ‘Higgs’ even if it decays into invisible particles. It can tell us the Higgs quantum numbers, and its couplings to different particles. ...
Document
... technology even further by developing a smaller scale version that is capable of being put on an Earth-orbiting satellite for transmitting quantum keys distances of hundreds of miles between the satellite and a ground station. ...
... technology even further by developing a smaller scale version that is capable of being put on an Earth-orbiting satellite for transmitting quantum keys distances of hundreds of miles between the satellite and a ground station. ...
