Bachelor Thesis - Institut für Analysis und Scientific Computing
... Introduction and historical aspects Different forms of knots have been known since long ago. They had technical applications, like in shipping, or weaving. More interesting and in particular aesthetically pleasing were the mystic symbols in many cultures. Famous examples are the sign of the pythago ...
... Introduction and historical aspects Different forms of knots have been known since long ago. They had technical applications, like in shipping, or weaving. More interesting and in particular aesthetically pleasing were the mystic symbols in many cultures. Famous examples are the sign of the pythago ...
IMPRECISE MEASUREMENTS IN QUANTUM MECHANICS
... experiment. As a result of the experiment, measurement outcomes are registered. Quantum mechanics predicts the probabilities of the measurement outcomes. In this section we recall the probability structure of quantum mechanics as presented, for instance, in [16], [21], [33], and [46]. Let Ω be the s ...
... experiment. As a result of the experiment, measurement outcomes are registered. Quantum mechanics predicts the probabilities of the measurement outcomes. In this section we recall the probability structure of quantum mechanics as presented, for instance, in [16], [21], [33], and [46]. Let Ω be the s ...
Optimal Detection of Symmetric Mixed Quantum States
... have a strong symmetry property called which the vectors geometric uniformity. In this case, the vectors are defined by the action of a finite Abelian group of unitary matrices on a single generating vector; the optimal measurement again coincides with the LSM. Note that a cyclic state set is a spec ...
... have a strong symmetry property called which the vectors geometric uniformity. In this case, the vectors are defined by the action of a finite Abelian group of unitary matrices on a single generating vector; the optimal measurement again coincides with the LSM. Note that a cyclic state set is a spec ...
Quantum correlations and distinguishability of quantum states
... and B has Hilbert space given by the tensor product HAB = HA ⊗ HB . For instance, if A and B are two qubits with Hilbert spaces HA ≃ HB ≃ C2 , the space of these two qubits is HAB = C2 ⊗ C2 ≃ C4 . Similarly, HA1 ...Ak = HA1 ⊗ · · · ⊗ HAk is the Hilbert space of the multipartite system formed by putt ...
... and B has Hilbert space given by the tensor product HAB = HA ⊗ HB . For instance, if A and B are two qubits with Hilbert spaces HA ≃ HB ≃ C2 , the space of these two qubits is HAB = C2 ⊗ C2 ≃ C4 . Similarly, HA1 ...Ak = HA1 ⊗ · · · ⊗ HAk is the Hilbert space of the multipartite system formed by putt ...
How long does it take until a quantum system
... the initial state were precisely known, it would be impossible to predict with certainty what the final quantum state will be. Moreover, the pure initial state has zero entropy, M2 but at the end, according to Hawking, its entropy is of the order of m 2 , where M is the Pl total mass of the system a ...
... the initial state were precisely known, it would be impossible to predict with certainty what the final quantum state will be. Moreover, the pure initial state has zero entropy, M2 but at the end, according to Hawking, its entropy is of the order of m 2 , where M is the Pl total mass of the system a ...
Boundary conditions for integrable quantum systems
... The aim of the present paper is to expose a systematic treatment of a new class of boundary conditions on the finite interval which are compatible with integrability and include a number of new cases in addition to the known ones. The approach proposed applies to all models subject to QISM. Our meth ...
... The aim of the present paper is to expose a systematic treatment of a new class of boundary conditions on the finite interval which are compatible with integrability and include a number of new cases in addition to the known ones. The approach proposed applies to all models subject to QISM. Our meth ...
The density-matrix renormalization group in the age of matrix
... remind readers of the original way of introducing DMRG, which does not make use of the idea of matrix product states. This should make older literature easily accessible, but one can jump to Section 4 right away, if one is not interested in that. In a second step, I will show that any quantum state ...
... remind readers of the original way of introducing DMRG, which does not make use of the idea of matrix product states. This should make older literature easily accessible, but one can jump to Section 4 right away, if one is not interested in that. In a second step, I will show that any quantum state ...
Introduction to Integrable Models
... the so-called coordinate Bethe ansatz. It has the virtue of being very intuitive and will give us a good understanding of the physics of the spin chain. Its drawback is that it cannot be generalized very much. We will therefore graduate to the more abstract, but much more powerful algebraic Bethe an ...
... the so-called coordinate Bethe ansatz. It has the virtue of being very intuitive and will give us a good understanding of the physics of the spin chain. Its drawback is that it cannot be generalized very much. We will therefore graduate to the more abstract, but much more powerful algebraic Bethe an ...
The density-matrix renormalization group in the age of matrix
... want to remind readers of the original way of introducing DMRG, which does not make use of the idea of matrix product states. This should make older literature easily accessible, but one can jump to Section 4 right away, if one is not interested in that. In a second step, I will show that any quantu ...
... want to remind readers of the original way of introducing DMRG, which does not make use of the idea of matrix product states. This should make older literature easily accessible, but one can jump to Section 4 right away, if one is not interested in that. In a second step, I will show that any quantu ...
QUANTUM MECHANICS B PHY-413 Note Set No. 7
... exact or approximate spherical symmetry. This, together with angular momentum’s association with rotation, demands that we consider writing down the angular momentum operators in spherical polar coordinates; this also leads to a great simplification and a recognition that the orbital angular momentu ...
... exact or approximate spherical symmetry. This, together with angular momentum’s association with rotation, demands that we consider writing down the angular momentum operators in spherical polar coordinates; this also leads to a great simplification and a recognition that the orbital angular momentu ...
pdf
... field theory (QFT). The approach is indeed idiosyncratic in the sense of demographics: only a small proportion of those who work on QFT work on algebraic QFT (AQFT). However, there are particular reasons why philosophers, and others interested in foundational issues, will want to study the “algebrai ...
... field theory (QFT). The approach is indeed idiosyncratic in the sense of demographics: only a small proportion of those who work on QFT work on algebraic QFT (AQFT). However, there are particular reasons why philosophers, and others interested in foundational issues, will want to study the “algebrai ...
Daniel Adam Roberts - School of Natural Sciences
... In many of my papers, acknowledgments have been a space for sincere thanks, literal acknowledgments (of funding sources), and hidden jokes. This is made possible by the fact that in all of my papers, the acknowledgments have come at the end. In this work, we are instructed to do things sdrawkcab. It ...
... In many of my papers, acknowledgments have been a space for sincere thanks, literal acknowledgments (of funding sources), and hidden jokes. This is made possible by the fact that in all of my papers, the acknowledgments have come at the end. In this work, we are instructed to do things sdrawkcab. It ...
Dynamical Aspects of Information Storage in Quantum
... In this respect, the assumption of finite precision of all physically realizable state preparation, manipulation, and registration procedures is particularly important, and can even be treated as an empirical given. This premise is general enough to subsume (a) fundamental limitations imposed by the ...
... In this respect, the assumption of finite precision of all physically realizable state preparation, manipulation, and registration procedures is particularly important, and can even be treated as an empirical given. This premise is general enough to subsume (a) fundamental limitations imposed by the ...
Advanced Quantum Mechanics
... Scattering techniques represent one of the most powerful and direct ways to obtain information on the microscopic structure of quantum systems. The importance of the concept to fields such as atomic, nuclear, high energy, or condensed matter physics cannot be exaggerated. We start the chapter with a ...
... Scattering techniques represent one of the most powerful and direct ways to obtain information on the microscopic structure of quantum systems. The importance of the concept to fields such as atomic, nuclear, high energy, or condensed matter physics cannot be exaggerated. We start the chapter with a ...
The noncommutative geometry of the quantum Hall effect
... But in Refs. 14-16 one of us proposed to use noncommutative geometry to extend the TKN, argument to the case of arbitrary magnetic field and disordered crystal. It turned out that the condition under which plateaux occur was precisely the finiteness of the localization length near the Fermi level. T ...
... But in Refs. 14-16 one of us proposed to use noncommutative geometry to extend the TKN, argument to the case of arbitrary magnetic field and disordered crystal. It turned out that the condition under which plateaux occur was precisely the finiteness of the localization length near the Fermi level. T ...