A group-theoretical approach to the periodic table
... (UIR) consists of unitary matrices that leave no space for the representation invariant. If invariant subspaces exist, the representation is said to be reducible. From the practical viewpoint, a UIR corresponds to a set of states (wavefunctions in the framework of quantum mechanics) which can be exc ...
... (UIR) consists of unitary matrices that leave no space for the representation invariant. If invariant subspaces exist, the representation is said to be reducible. From the practical viewpoint, a UIR corresponds to a set of states (wavefunctions in the framework of quantum mechanics) which can be exc ...
QUANTUM MATTERS What is the matter? Einstein`s
... diagram. All this information is presented by the so-called phase diagram: a diagram represents all possible phases and some domain walls indicating the phases transitions. Quantum systems in the same domain are the same, and the domain walls are where certain physical quantities such as the ground ...
... diagram. All this information is presented by the so-called phase diagram: a diagram represents all possible phases and some domain walls indicating the phases transitions. Quantum systems in the same domain are the same, and the domain walls are where certain physical quantities such as the ground ...
Exercise Sheet 9 - Institute for Quantum Information
... (20 points) Problem 4: Classical codes. 1) Let H be a parity check matrix such that any d − 1 columns are linearly independent, but there exists a set of d linearly dependent columns. Show that the code defined by H has distance d. 2) Singleton bound. Show that an [n, k, d] code must satisfy n − k ≥ ...
... (20 points) Problem 4: Classical codes. 1) Let H be a parity check matrix such that any d − 1 columns are linearly independent, but there exists a set of d linearly dependent columns. Show that the code defined by H has distance d. 2) Singleton bound. Show that an [n, k, d] code must satisfy n − k ≥ ...
Conceptual Issues in Canonical Quantum Gravity and Cosmology
... issues that arise in both classical and quantum gravity and that are all more or less directly connected with background independence and the related problem of time. Attention is restricted to the canonical approach, because there these issues are most transparent. A detailed exposition covering al ...
... issues that arise in both classical and quantum gravity and that are all more or less directly connected with background independence and the related problem of time. Attention is restricted to the canonical approach, because there these issues are most transparent. A detailed exposition covering al ...
Quantum Field Theory - Why and When?
... to make use of these anti-commuting operators to describe fermions will be explained later in the course. Remembering that the Maxwell theory of electrodynamics is Lorentz invariant, and the examples given earlier, you might get the impression that quantum field theory is of use only in relativisti ...
... to make use of these anti-commuting operators to describe fermions will be explained later in the course. Remembering that the Maxwell theory of electrodynamics is Lorentz invariant, and the examples given earlier, you might get the impression that quantum field theory is of use only in relativisti ...
Introduction to Quantum Information - cond
... But for each of the three other outcomes, there is a simple local operation that Bob can perform which will rotate his state to |ψi. So, all that is required is the communication of the two measured bits from Alice to Bob, in order that he knows which rotation to perform. To summarize the operationa ...
... But for each of the three other outcomes, there is a simple local operation that Bob can perform which will rotate his state to |ψi. So, all that is required is the communication of the two measured bits from Alice to Bob, in order that he knows which rotation to perform. To summarize the operationa ...