Supmech: the Geometro-statistical Formalism Underlying Quantum
... The statement of the famous sixth problem of Hilbert [1] (henceforth referred to as H6) reads : “To treat in the same manner, by means of axioms, the physical sciences in which mathematics plays an important part; in the first rank are the theory of probabilities and mechanics.” It appears reasonabl ...
... The statement of the famous sixth problem of Hilbert [1] (henceforth referred to as H6) reads : “To treat in the same manner, by means of axioms, the physical sciences in which mathematics plays an important part; in the first rank are the theory of probabilities and mechanics.” It appears reasonabl ...
Classical and Non-Classical Representations in Physics
... Dynamical representations as distinction systems Physical theories are ways to represent dynamical systems in the most precise way possible, in order to allow prediction of the future states of the system, given knowledge about the present state. Such a model of a process will be called a dynamical ...
... Dynamical representations as distinction systems Physical theories are ways to represent dynamical systems in the most precise way possible, in order to allow prediction of the future states of the system, given knowledge about the present state. Such a model of a process will be called a dynamical ...
Quantum Designs - Gerhard Zauner
... following two properties (see [39] and [57]): Orthogonal projections are idempotent, i.e. P2 = P; furthermore, they are self-adjoint, i.e. P = P∗ , where P∗ is the adjoint (i.e. transposed and complex conjugated) matrix of P. Conversely, one can show that every idempotent and self-adjoint matrix cor ...
... following two properties (see [39] and [57]): Orthogonal projections are idempotent, i.e. P2 = P; furthermore, they are self-adjoint, i.e. P = P∗ , where P∗ is the adjoint (i.e. transposed and complex conjugated) matrix of P. Conversely, one can show that every idempotent and self-adjoint matrix cor ...
A CATEGORY THEORY AND HIGHER DIMENSIONAL ALGEBRA
... Ontology has acquired over time several meanings, and it has also been approached in many different ways, but all of these are connected to the concepts of an ‘objective existence’ and categories of items. A related and also important function of Ontology is to classify and/or categorize items and e ...
... Ontology has acquired over time several meanings, and it has also been approached in many different ways, but all of these are connected to the concepts of an ‘objective existence’ and categories of items. A related and also important function of Ontology is to classify and/or categorize items and e ...
User Manual - Redbrick
... java application. This is very useful when one wants to run graphical programs from a machine that has no graphical output, ie., one can only log into it using a console. The following is an example of how to use the X-Server. To access the server through a terminal, it is not necessary to log onto ...
... java application. This is very useful when one wants to run graphical programs from a machine that has no graphical output, ie., one can only log into it using a console. The following is an example of how to use the X-Server. To access the server through a terminal, it is not necessary to log onto ...
Five Lecture Course on Basic Physics of
... Cooper pairs. It does not contain contributions from states with an odd number of electrons. What happens if we force one more electron into a superconductor? The BCS state would not be the ground state of such a system. What will it be? The only option is to put the extra electron into a quasiparti ...
... Cooper pairs. It does not contain contributions from states with an odd number of electrons. What happens if we force one more electron into a superconductor? The BCS state would not be the ground state of such a system. What will it be? The only option is to put the extra electron into a quasiparti ...
Reduced fidelity in topological quantum phase transitions
... phase transition, one expects that the fidelity between two ground states that differ by a small change in the driving parameter should exhibit a sharp drop. This expectation has been confirmed in a number of case studies 关5兴, including several TQPTs 关4,6,7兴. Suppose that one replaces the two ground ...
... phase transition, one expects that the fidelity between two ground states that differ by a small change in the driving parameter should exhibit a sharp drop. This expectation has been confirmed in a number of case studies 关5兴, including several TQPTs 关4,6,7兴. Suppose that one replaces the two ground ...
Distance between quantum states in the presence of initial qubit
... contractivity of quantum evolution can break down provided that the system is initially correlated with its environment. Effects induced by such correlations have been studied in various context [7–10]. First experiments on initial systemenvironment correlations were reported in Ref. [11]. Examples ...
... contractivity of quantum evolution can break down provided that the system is initially correlated with its environment. Effects induced by such correlations have been studied in various context [7–10]. First experiments on initial systemenvironment correlations were reported in Ref. [11]. Examples ...
The Kitaev chain: theoretical model and experiments
... Two basic realizations of the Kitaev chain exist. One is based on quantum wires made of a semiconductor with strong spin–orbit coupling such as InSb or InAs, and the other employs a 3D topological insulator. In both cases, superconductivity in the wire is induced by the proximity effect of the hetero ...
... Two basic realizations of the Kitaev chain exist. One is based on quantum wires made of a semiconductor with strong spin–orbit coupling such as InSb or InAs, and the other employs a 3D topological insulator. In both cases, superconductivity in the wire is induced by the proximity effect of the hetero ...
Quantum Computational Complexity - Cheriton School of Computer
... devices, and to a significant extent it is their study that motivates and directs research on computational complexity. The predominant example is the class of polynomial-time computable functions, which ultimately derives its relevance from physical considerations; for it is a mathematical abstract ...
... devices, and to a significant extent it is their study that motivates and directs research on computational complexity. The predominant example is the class of polynomial-time computable functions, which ultimately derives its relevance from physical considerations; for it is a mathematical abstract ...
Read State-of-the-art Report (pdf file) - FB3
... hinted by Bennett [12], any forward computation (or execution) can be transformed into a reversible one by just keeping an history of all the information overwritten and hence lost (for example a variable update) by the forward computation, and then use this information to reverse (or undo) the forw ...
... hinted by Bennett [12], any forward computation (or execution) can be transformed into a reversible one by just keeping an history of all the information overwritten and hence lost (for example a variable update) by the forward computation, and then use this information to reverse (or undo) the forw ...
A Noncommutative Sigma Model by Mauritz van den Worm
... Starting off in Chapter 1 we consider the C ∗ -algebra generated by a collection of operators. Following these ideas we introduce the quantum torus and study some of its more interesting properties, such as the fact that it can be written as a crossed product which will greatly aid us in determining ...
... Starting off in Chapter 1 we consider the C ∗ -algebra generated by a collection of operators. Following these ideas we introduce the quantum torus and study some of its more interesting properties, such as the fact that it can be written as a crossed product which will greatly aid us in determining ...