Concepts and Methods of Mathematical Physics - math.uni
... Vector spaces and related structures play an important role in physics because they arise whenever physical systems are linearised, i.e. approximated by linear structures. Linearity is a very strong tool. Non-linear systems such as general relativity or the fluid dynamics governed by Navier Stokes eq ...
... Vector spaces and related structures play an important role in physics because they arise whenever physical systems are linearised, i.e. approximated by linear structures. Linearity is a very strong tool. Non-linear systems such as general relativity or the fluid dynamics governed by Navier Stokes eq ...
Embedding Quantum Simulators Roberto Di Candia
... are considered intractable in a classical computer. Although there are strong theoretical bases confirming this claim, several aspects of quantum simulators have still to be studied, in order to faithfully prove their feasibility. Moreover, the general question on which features of the considered mo ...
... are considered intractable in a classical computer. Although there are strong theoretical bases confirming this claim, several aspects of quantum simulators have still to be studied, in order to faithfully prove their feasibility. Moreover, the general question on which features of the considered mo ...
Semiclassical Green`s functions and an instanton formulation of
... of the rate is found by performing a number of steepestdescent integrations. Other instanton approaches are well known from adiabatic rate23–29 and tunnelling splitting30,31 calculations, where in both cases the Born-Oppenheimer approximation is first applied to obtain a single-surface Hamiltonian. ...
... of the rate is found by performing a number of steepestdescent integrations. Other instanton approaches are well known from adiabatic rate23–29 and tunnelling splitting30,31 calculations, where in both cases the Born-Oppenheimer approximation is first applied to obtain a single-surface Hamiltonian. ...
A Short Course on Topological Insulators
... Since this is an introduction, rather than a broad overview, we try to be selfcontained and give citations to the current literature only where it is absolutely necessary. For a broad overview, including pointers to the original papers and current topics, we refer the reader to review articles and b ...
... Since this is an introduction, rather than a broad overview, we try to be selfcontained and give citations to the current literature only where it is absolutely necessary. For a broad overview, including pointers to the original papers and current topics, we refer the reader to review articles and b ...
Quantum Money from Hidden Subspaces
... These early ideas about quantum money inspired the field of quantum cryptography [13]. But strangely, the subject of quantum money itself lay dormant for more than two decades, even as interest in quantum computing exploded. However, the past few years have witnessed a “quantum money renaissance.” ...
... These early ideas about quantum money inspired the field of quantum cryptography [13]. But strangely, the subject of quantum money itself lay dormant for more than two decades, even as interest in quantum computing exploded. However, the past few years have witnessed a “quantum money renaissance.” ...
Here - Fifth Quantum Thermodynamics Conference
... genesis. More precisely, motivated by recent experiments that have demonstrated the generation of entanglement between two distant superconducting qubits by measuring their parity, we focus in this work on the energetic cost of parity measurement-induced entanglement. Based on a quantum trajectory a ...
... genesis. More precisely, motivated by recent experiments that have demonstrated the generation of entanglement between two distant superconducting qubits by measuring their parity, we focus in this work on the energetic cost of parity measurement-induced entanglement. Based on a quantum trajectory a ...
lecture notes - Analysis Group TU Delft
... These notes are based on the semester project of Yann Péquignot, Théorie spectrale et évolution en mécanique quantique, which was supervised by Prof. Boris Buffoni and myself at EPFL (Lausanne) in 2008. I am especially indebted to Yann for the exceptional quality of his work, and his permission ...
... These notes are based on the semester project of Yann Péquignot, Théorie spectrale et évolution en mécanique quantique, which was supervised by Prof. Boris Buffoni and myself at EPFL (Lausanne) in 2008. I am especially indebted to Yann for the exceptional quality of his work, and his permission ...
Entanglement Entropy of non-Unitary Quantum Field Theory
... Suppose that we are given a pure state |ψi and that we perform a computation of the EE. If we find logarithmic scaling we may deduce that the system is critical and we expect to be able to extract the central charge c of the critical point. What happens if |ψi is the ground state of a critical syste ...
... Suppose that we are given a pure state |ψi and that we perform a computation of the EE. If we find logarithmic scaling we may deduce that the system is critical and we expect to be able to extract the central charge c of the critical point. What happens if |ψi is the ground state of a critical syste ...
Geometric phases in graphene and topological insulators
... 1.2 Quantum spin Hall effect and topological insulators Almost 25 years after the discovery of the quantum Hall effect, topological phenomena made a new appeareance in the world of solid state physics, in what is now the flourishing field of topological insulators [19, 40, 14, 2]. These materials, f ...
... 1.2 Quantum spin Hall effect and topological insulators Almost 25 years after the discovery of the quantum Hall effect, topological phenomena made a new appeareance in the world of solid state physics, in what is now the flourishing field of topological insulators [19, 40, 14, 2]. These materials, f ...
Toward a scalable, silicon-based quantum computing architecture
... implications of teleportation, we will need to cover some background before returning to the subject in Section II-C. A striking example of the importance of quantum communication lies in the implementation of error-correction circuits. Quantum computations must make use of extremely robust error-co ...
... implications of teleportation, we will need to cover some background before returning to the subject in Section II-C. A striking example of the importance of quantum communication lies in the implementation of error-correction circuits. Quantum computations must make use of extremely robust error-co ...
Quantum Computational Complexity - Cheriton School of Computer
... I Definition of the subject and its importance The inherent difficulty, or hardness, of computational problems is a fundamental concept in computational complexity theory. Hardness is typically formalized in terms of the resources required by different models of computation to solve a given problem ...
... I Definition of the subject and its importance The inherent difficulty, or hardness, of computational problems is a fundamental concept in computational complexity theory. Hardness is typically formalized in terms of the resources required by different models of computation to solve a given problem ...
Quantum Field Theory in Condensed Matter Physics 2nd Ed.
... in two dimensions. The classification covers two-dimensional theories at a transition point and those quantum (1 + 1)-dimensional theories which have a critical point at T = 0 (the spin S = 1/2 Heisenberg model is a good example of the latter). In the first part of the book I concentrate on formal met ...
... in two dimensions. The classification covers two-dimensional theories at a transition point and those quantum (1 + 1)-dimensional theories which have a critical point at T = 0 (the spin S = 1/2 Heisenberg model is a good example of the latter). In the first part of the book I concentrate on formal met ...
Quantum Information Chapter 10. Quantum Shannon Theory
... Ω(1) denotes a positive constant. This is Shannon’s source coding theorem. We have not discussed at all the details of the compression code. We might imagine a huge lookup table which assigns a unique codeword to each message and vice versa, but because such a table has size exponential in n it is q ...
... Ω(1) denotes a positive constant. This is Shannon’s source coding theorem. We have not discussed at all the details of the compression code. We might imagine a huge lookup table which assigns a unique codeword to each message and vice versa, but because such a table has size exponential in n it is q ...
Direct Characterization of Quantum Dynamics: General Theory
... whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whether entanglement plays a fundamental role, and what p ...
... whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whether entanglement plays a fundamental role, and what p ...
