tgd as a generalized number theory

... 3.4.2 Prime Hilbert spaces and infinite primes . . . . . . . . . . . . . . . . . . . . . . 191 3.4.3 Do infinite hyper-octonionic primes represent quantum numbers associated with Fock states? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 3.4.4 The physical interpret ...

... 3.4.2 Prime Hilbert spaces and infinite primes . . . . . . . . . . . . . . . . . . . . . . 191 3.4.3 Do infinite hyper-octonionic primes represent quantum numbers associated with Fock states? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 3.4.4 The physical interpret ...

Quantum dots on bilayer graphene made on a substrate of boron

... one and a hundred) are free. The de Broglie-wavelength of these free electrons is comparable to the size of the dot, due to which the electrons occupy discrete energy levels and have a discrete excitation spectrum. A quantum dot has another characteristic called the charging energy; this is the ener ...

... one and a hundred) are free. The de Broglie-wavelength of these free electrons is comparable to the size of the dot, due to which the electrons occupy discrete energy levels and have a discrete excitation spectrum. A quantum dot has another characteristic called the charging energy; this is the ener ...

Electrical Manipulation and Detection of Single Electron Spins in

... the happy dance alive! Thanks for all the enthusiasm, happiness and great teamwork. And, if you dont mind, I would still really like to learn this speciﬁc dance... Tristan, discussions with you were always interesting and exciting, regardless if it was on physics or any other topic (5 minutes???). I ...

... the happy dance alive! Thanks for all the enthusiasm, happiness and great teamwork. And, if you dont mind, I would still really like to learn this speciﬁc dance... Tristan, discussions with you were always interesting and exciting, regardless if it was on physics or any other topic (5 minutes???). I ...

reactive molecular collisions

... vs Quantum Studies Apart from the practical problems that must be faced when implementing a classical trajectory calculation, there is always the conceptual question: Howreliable is classical mechanics for treating nuclear motion in molecular systems? Truhlar & Muckerman(14) present a discussion of ...

... vs Quantum Studies Apart from the practical problems that must be faced when implementing a classical trajectory calculation, there is always the conceptual question: Howreliable is classical mechanics for treating nuclear motion in molecular systems? Truhlar & Muckerman(14) present a discussion of ...

Quantum Orders and Symmetric Spin Liquids

... theories. The spin liquid approach is based on a point of view that the high Tc superconductors are doped Mott insulators.[14–16] (Here by Mott insulator we mean a insulator with an odd number of electron per unit cell.) We believe that the most important properties of the high Tc superconductors is ...

... theories. The spin liquid approach is based on a point of view that the high Tc superconductors are doped Mott insulators.[14–16] (Here by Mott insulator we mean a insulator with an odd number of electron per unit cell.) We believe that the most important properties of the high Tc superconductors is ...

Full-Text PDF

... 1. Introduction The laws of quantum physics dictate that there are certain tasks that are mutually exclusive, meaning that they cannot be performed simultaneously with a single device. This quantum incompatibility is usually encountered in the context of mutually-exclusive measurements: one cannot m ...

... 1. Introduction The laws of quantum physics dictate that there are certain tasks that are mutually exclusive, meaning that they cannot be performed simultaneously with a single device. This quantum incompatibility is usually encountered in the context of mutually-exclusive measurements: one cannot m ...

Approaches to Quantum Gravity

... new mathematics as well as alternative ways of thinking about spacetime and matter, which in turn have triggered the exploration of other promising avenues toward a Quantum Gravity theory. I think it is fair to say that we are still far from having constructed a satisfactory theory of Quantum Gravit ...

... new mathematics as well as alternative ways of thinking about spacetime and matter, which in turn have triggered the exploration of other promising avenues toward a Quantum Gravity theory. I think it is fair to say that we are still far from having constructed a satisfactory theory of Quantum Gravit ...

Quantum conditional probability - E

... The story begins on the morning of Thursday July 1st 2004, in which I met Mauricio Suárez at a cafe in Madrid. I had decided at that time that this was the last meeting I would have in the search for a PhD, for I was not finding anything I really wanted to pursue. At that meeting, I heard the name ‘ ...

... The story begins on the morning of Thursday July 1st 2004, in which I met Mauricio Suárez at a cafe in Madrid. I had decided at that time that this was the last meeting I would have in the search for a PhD, for I was not finding anything I really wanted to pursue. At that meeting, I heard the name ‘ ...

Entanglement in periodically driven quantum systems

... This has led, e.g., to the investigation of dynamical localization [17, 18] and the coherent destruction of tunneling [19], both of which arise from the interplay of periodic driving and quantum coherence. Arguably the most fascinating trait of quantum mechanics, however, is entanglement. It describ ...

... This has led, e.g., to the investigation of dynamical localization [17, 18] and the coherent destruction of tunneling [19], both of which arise from the interplay of periodic driving and quantum coherence. Arguably the most fascinating trait of quantum mechanics, however, is entanglement. It describ ...

Kondo Effect in Mesoscopic Quantum Dots

... many impurities (Wyatt, 1964) and more recently in a nanometer-scale junction containing a single impurity (Gregory, 1992, Ralph and Buhrman, 1994). In this geometry, the Kondo effect enhances conductance rather than resistivity at low temperature and low bias voltage (Appelbaum, 1966). The advent o ...

... many impurities (Wyatt, 1964) and more recently in a nanometer-scale junction containing a single impurity (Gregory, 1992, Ralph and Buhrman, 1994). In this geometry, the Kondo effect enhances conductance rather than resistivity at low temperature and low bias voltage (Appelbaum, 1966). The advent o ...

# 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.