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Multiparticle States and Tensor Products
Multiparticle States and Tensor Products

... operators associated with each particle: • Particle 1: its quantum mechanics is described by a complex vector space V. It has associated operators T1 , T2 , .... ...
Square Root of “Not”
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pdf - ISI Foundation
pdf - ISI Foundation

... 共Received 23 January 2009; published 4 March 2009兲 Quantum phase transitions that take place between two distinct topological phases remain an unexplored area for the applicability of the fidelity approach. Here, we apply this method to spin systems in two and three dimensions and show that the fide ...
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Cryptographic distinguishability measures for quantum
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... Riemann tensor is a rank (1,3) tensor that describes the curvature in all directions at a given point in space. It takes 3 vectors and returns a single vector. The vectors that are fed to the tensor should be very small and have a length ε. If we use the first two vectors to form a tiny parallelogra ...
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... show certain types of interactions. It is natural to assume that at the Planck length these objects merge and that the same set of physical laws should cover all of them. Now in spite of the fact that the properties of larger black holes appear to be determined by well-known laws of physics there ar ...
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On Primitive Notions as Foundation of Physics

Spin or, Actually: Spin and Quantum Statistics
Spin or, Actually: Spin and Quantum Statistics

... understand how crystalline or quasi-crystalline order can be derived as a consequence of equilibrium quantum statistical mechanics. All this shows how little we understand about ‘emergent behavior’ of many-particle systems on the basis of fundamental theory. We are not trying to make an argument aga ...
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A universal alphabet and rewrite system

... It is the next application of the create procedure (ÄbÄb → Äc) which leads to the number system as we know it, for now we have an undifferentiated ‘set’ of possible origins for the ‘negative’ ordinal category or conjugate. We describe these as complex forms (C ), and each must have its own conjugat ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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