Quantum Computing and Quantum Topology
... Theorem 1 (Freedman-Kitaev-W.): Any unitary (2+1)-TQFT can be efficiently simulated by the quantum circuit model. There are efficient additive approximation algorithms of quantum invariants by the quantum circuit model. Theorem 2 (Freedman-Larsen-W.): Anyonic quantum computers based on RT/WCS SU(2)- ...
... Theorem 1 (Freedman-Kitaev-W.): Any unitary (2+1)-TQFT can be efficiently simulated by the quantum circuit model. There are efficient additive approximation algorithms of quantum invariants by the quantum circuit model. Theorem 2 (Freedman-Larsen-W.): Anyonic quantum computers based on RT/WCS SU(2)- ...
Principles of Scientific Simulation
... different descriptions. We will briefly describe these with a pointer to types of algorithms used. – These descriptions underlie several different fields such as physics, chemistry, biology, environmental modeling, climatology. – indeed any field that studies physical world from a reasonably fundame ...
... different descriptions. We will briefly describe these with a pointer to types of algorithms used. – These descriptions underlie several different fields such as physics, chemistry, biology, environmental modeling, climatology. – indeed any field that studies physical world from a reasonably fundame ...
DeBroglie Hypothesis
... the boundary conditions (for x, y and z) we usually get THREE QUANTUM NUMBERS (just like we got 1 quantum number in the 1-D case). These quantum numbers come out of the theory rather than being put into the theory as Bohr did in his. ...
... the boundary conditions (for x, y and z) we usually get THREE QUANTUM NUMBERS (just like we got 1 quantum number in the 1-D case). These quantum numbers come out of the theory rather than being put into the theory as Bohr did in his. ...
Particle theorists win Dirac Medal
... James Bjorken of Stanford University and Curtis Callan of Princeton University have been awarded the 2004 Dirac Medal for their work on the theory of the strong interaction. The award is made every year by the Abdus Salam International Centre for Theoretical Physics in Trieste to recognise scientist ...
... James Bjorken of Stanford University and Curtis Callan of Princeton University have been awarded the 2004 Dirac Medal for their work on the theory of the strong interaction. The award is made every year by the Abdus Salam International Centre for Theoretical Physics in Trieste to recognise scientist ...
Chapter 1 Introduction: Why are quantum many
... The exponential growth of Hilbert space mentioned above appears prohibitive, but let us first stand back from the quantum problem for a moment. In classical mechanics there are enormous amounts of variables to keep track of once a system has macroscopic numbers of particles — Avogadro’s number is ve ...
... The exponential growth of Hilbert space mentioned above appears prohibitive, but let us first stand back from the quantum problem for a moment. In classical mechanics there are enormous amounts of variables to keep track of once a system has macroscopic numbers of particles — Avogadro’s number is ve ...
Metric of a Rotating, Charged Mass
... In this paper the results from various areas of mathematical research which are necessary for a consistent unification of the Dirac and von Neumann formulations of quantum mechanics are collected and presented as a single synthesis. For this purpose, direct integral decompositions of Hilbert space m ...
... In this paper the results from various areas of mathematical research which are necessary for a consistent unification of the Dirac and von Neumann formulations of quantum mechanics are collected and presented as a single synthesis. For this purpose, direct integral decompositions of Hilbert space m ...
Critical Points in Modern Physical Theory
... mechanics, in particular, has to do with systems observable only by indirect means, principally because of their smallness. To analyze their behavior the physicist invents states. Now in common language a state carries with it the connotation of some mysterious objective reality, whatever that word ...
... mechanics, in particular, has to do with systems observable only by indirect means, principally because of their smallness. To analyze their behavior the physicist invents states. Now in common language a state carries with it the connotation of some mysterious objective reality, whatever that word ...
Time evolution of states in quantum mechanics1
... which is the Schrödinger equation. The Schrödinger equation is a first order differential equation. Thus the knowledge of |α(t0 )i, determines the state at any later time uniquely. Therefore the time-evolution of states in quantum mechanics is deterministic and continuous. In this sense quantum me ...
... which is the Schrödinger equation. The Schrödinger equation is a first order differential equation. Thus the knowledge of |α(t0 )i, determines the state at any later time uniquely. Therefore the time-evolution of states in quantum mechanics is deterministic and continuous. In this sense quantum me ...
Quantum simulators of lattice gauge theories
... A ``working´´ definition of a quantum simulator could be: I. Quantum simulator is an experimental system that mimics ...
... A ``working´´ definition of a quantum simulator could be: I. Quantum simulator is an experimental system that mimics ...
New quantum states of matter in and out of equilibrium
... restrictive limits on the timescales available for observing truly unitary time evolution. In recent years, such limitations have been overcome in both cold atomic systems and in nanostructures. From a theoretical point of view these advances are tantalizing, because fundamental questions posed in t ...
... restrictive limits on the timescales available for observing truly unitary time evolution. In recent years, such limitations have been overcome in both cold atomic systems and in nanostructures. From a theoretical point of view these advances are tantalizing, because fundamental questions posed in t ...
ppt - MIT
... • The main difference between quantum and classical Huffman coding is that measuring the length of the output will damage the state. • Also, Schumacher compression assumes we know the basis in which r is diagonal. Therefore it is optimal and efficient, but not universal. ...
... • The main difference between quantum and classical Huffman coding is that measuring the length of the output will damage the state. • Also, Schumacher compression assumes we know the basis in which r is diagonal. Therefore it is optimal and efficient, but not universal. ...
Quantum Numbers
... Each electron has a set of four numbers, called quantum numbers, that specify it completely; no two electrons in the same atom can have the same four. That's a more precise statement of the Pauli exclusion principle Bob was discussing. (He also mentioned still another way of expressing this importan ...
... Each electron has a set of four numbers, called quantum numbers, that specify it completely; no two electrons in the same atom can have the same four. That's a more precise statement of the Pauli exclusion principle Bob was discussing. (He also mentioned still another way of expressing this importan ...
What is Probability? - General Guide To Personal and Societies
... at a loss to say why. Indeed, failing an account of what chances are, it is hard to see how the principle could be justi…ed; for it ought to be facts about physical states of a¤airs that dictate our subjective expectations of future contingencies. What are those facts? The two questions are interdep ...
... at a loss to say why. Indeed, failing an account of what chances are, it is hard to see how the principle could be justi…ed; for it ought to be facts about physical states of a¤airs that dictate our subjective expectations of future contingencies. What are those facts? The two questions are interdep ...
CH 4 SEC 2: Book Notes
... Diffraction experiments and other investigations also showed that electron beams, like waves, can interfere with each other. Interference occurs when waves overlap. This overlapping results in a reduction of energy in some areas and an increase of energy in others. ...
... Diffraction experiments and other investigations also showed that electron beams, like waves, can interfere with each other. Interference occurs when waves overlap. This overlapping results in a reduction of energy in some areas and an increase of energy in others. ...
qm2 - Michael Nielsen
... who have mastered quantum mechanics but are otherwise unsuspecting and innocent, a take-home exam in which they are asked to deduce superfluidity from first principles. There is no doubt a special place in hell being reserved for me at this very moment for this mean trick, for the task is impossible ...
... who have mastered quantum mechanics but are otherwise unsuspecting and innocent, a take-home exam in which they are asked to deduce superfluidity from first principles. There is no doubt a special place in hell being reserved for me at this very moment for this mean trick, for the task is impossible ...
- Philsci
... representationally complete, so that it is reasonable to believe no ‘hidden variables’ exist. (Of course, it might also strike one as reasonable to try to design experiments to show that there are hidden factors responsible for the differences; and in reaction to the real parity violating experiment ...
... representationally complete, so that it is reasonable to believe no ‘hidden variables’ exist. (Of course, it might also strike one as reasonable to try to design experiments to show that there are hidden factors responsible for the differences; and in reaction to the real parity violating experiment ...
How Much Information Is In A Quantum State?
... Recap: Given an unknown n-qubit entangled quantum state , and a set S of two-outcome measurements… Learning theorem: “Any hypothesis state consistent with a small number of sample points behaves like on most measurements in S” Postselection theorem: “A particular state T (produced by postsel ...
... Recap: Given an unknown n-qubit entangled quantum state , and a set S of two-outcome measurements… Learning theorem: “Any hypothesis state consistent with a small number of sample points behaves like on most measurements in S” Postselection theorem: “A particular state T (produced by postsel ...
