Quantum supergroups and canonical bases Sean Clark University of Virginia Dissertation Defense
... No examples despite extensive study, experts don’t believe. Why should canonical bases exist? Because now we have I ...
... No examples despite extensive study, experts don’t believe. Why should canonical bases exist? Because now we have I ...
Measurements in Quantum Optics
... After a short introduction to the general aspects of measurements in quantum mechanics, it presents three examples of a measurement process in concrete applications to quantum optics. For one, while operators describing quantities of interest might have a simple theoretical form, it is often hard to ...
... After a short introduction to the general aspects of measurements in quantum mechanics, it presents three examples of a measurement process in concrete applications to quantum optics. For one, while operators describing quantities of interest might have a simple theoretical form, it is often hard to ...
Adding quantum effects to the semi-classical molecular
... usually computationally expensive. In principle, any kind of MD conducted in phase space inevitably suffers from the loss of information when reduced from the infinite-dimensional Hilbert space to classical phase space. However, this principle does not forbid the possibility of finding EOM conservin ...
... usually computationally expensive. In principle, any kind of MD conducted in phase space inevitably suffers from the loss of information when reduced from the infinite-dimensional Hilbert space to classical phase space. However, this principle does not forbid the possibility of finding EOM conservin ...
Introduction to quantum computation
... Within this model, an algorithm corresponds to a family of circuits Cn , made of gates from a universal set, for all sizes of the input n. To derive a proper notion of complexity, we add a uniformity condition, which requires that the design of the circuit Cn may be computed efficiently (in polynomi ...
... Within this model, an algorithm corresponds to a family of circuits Cn , made of gates from a universal set, for all sizes of the input n. To derive a proper notion of complexity, we add a uniformity condition, which requires that the design of the circuit Cn may be computed efficiently (in polynomi ...
Field Theory on Curved Noncommutative Spacetimes
... In this work we follow the formulation proposed by Julius Wess and his group [6, 7] to describe NC gravity and field theories. As ingredients we use ?-products instead of abstract operator algebras. This approach is called deformation quantization [20] and has the advantage that the quantum theory i ...
... In this work we follow the formulation proposed by Julius Wess and his group [6, 7] to describe NC gravity and field theories. As ingredients we use ?-products instead of abstract operator algebras. This approach is called deformation quantization [20] and has the advantage that the quantum theory i ...
Many-Body Localization
... Closed-System Quantum Thermalization • In quantum system, initial state information perfectly preserved • Unitary evolution • System at time t depends on exact initial state – no loss of information • Obvious in eigenstate basis • Directly contradicts thermalization! ...
... Closed-System Quantum Thermalization • In quantum system, initial state information perfectly preserved • Unitary evolution • System at time t depends on exact initial state – no loss of information • Obvious in eigenstate basis • Directly contradicts thermalization! ...
Composing Quantum Protocols in a Classical Environment
... remains classical. From a more theoretical point of view, our general security definition expresses what security properties a quantum protocol must satisfy in order to be able to instantiate a basic cryptographic primitive upon which an information-theoretic cryptographic construction is based. For ...
... remains classical. From a more theoretical point of view, our general security definition expresses what security properties a quantum protocol must satisfy in order to be able to instantiate a basic cryptographic primitive upon which an information-theoretic cryptographic construction is based. For ...
Lectures on Thermodynamics and Statistical Mechanics
... The formation of bound states would be a chemical reaction, so we are really considering gases where there is no further chemical reaction beyond the initial formation of the molecules. For example, if we consider oxygen, two oxygen atoms bind together to form the oxygen molecule O2 , but there is n ...
... The formation of bound states would be a chemical reaction, so we are really considering gases where there is no further chemical reaction beyond the initial formation of the molecules. For example, if we consider oxygen, two oxygen atoms bind together to form the oxygen molecule O2 , but there is n ...
On the Absolutely Continuous Spectrum of Sturm–Liouville
... to the absolutely continuous spectrum of the operator H defined in the previous section. As our applications involve Sturm-Liouville equations, we will discuss this method in precisely that context. For a more elementary approach under somewhat stronger assumptions (a kind of uniform subordinacy) we ...
... to the absolutely continuous spectrum of the operator H defined in the previous section. As our applications involve Sturm-Liouville equations, we will discuss this method in precisely that context. For a more elementary approach under somewhat stronger assumptions (a kind of uniform subordinacy) we ...
