AN INDEX THEORY FOR QUANTUM DYNAMICAL SEMIGROUPS 1
... B(H0 ) is an endomorphism for some positive time point then it is a semigroup of endomorphisms. In Section 5 we begin with explaining the notion of path-continuity which guarantees the separability of the dilation space. This point onwards, path-continuity is an added assumption on the semigroup. Af ...
... B(H0 ) is an endomorphism for some positive time point then it is a semigroup of endomorphisms. In Section 5 we begin with explaining the notion of path-continuity which guarantees the separability of the dilation space. This point onwards, path-continuity is an added assumption on the semigroup. Af ...
UNRAVELING OPEN QUANTUM SYSTEMS: CLASSICAL
... which contains a unit 1, the constant function 1. Let there be given a Markov semigroup (Tt )t∈R+ on (E, E) which satisfies the Feller property. Then A is invariant under this semigroup so that we may consider that (Tt )t∈R+ is defined on A and satisfies clearly (M1) to (M4), and in addition (M5), that ...
... which contains a unit 1, the constant function 1. Let there be given a Markov semigroup (Tt )t∈R+ on (E, E) which satisfies the Feller property. Then A is invariant under this semigroup so that we may consider that (Tt )t∈R+ is defined on A and satisfies clearly (M1) to (M4), and in addition (M5), that ...
Entangling Dipole-Dipole Interactions and Quantum Logic in Optical
... Bose-condensed atoms [19]. Both internal and external degrees of freedom can be further manipulated through the application of coherent laser pulses as in ion traps [20]. The optical lattice is thus seen to offer two key resources: a high degree of quantum control combined with an architecture that ...
... Bose-condensed atoms [19]. Both internal and external degrees of freedom can be further manipulated through the application of coherent laser pulses as in ion traps [20]. The optical lattice is thus seen to offer two key resources: a high degree of quantum control combined with an architecture that ...
Why Unsharp Observables? Claudio Carmeli · Teiko Heinonen · Alessandro Toigo
... It is well understood that the description of, for instance, phase and time observables demands the use of positive operator measures (POMs) rather than just projection valued measures (PVMs). There is simply no PVM with desirable properties; especially, there is no PVM which would have the required ...
... It is well understood that the description of, for instance, phase and time observables demands the use of positive operator measures (POMs) rather than just projection valued measures (PVMs). There is simply no PVM with desirable properties; especially, there is no PVM which would have the required ...
generalized twist-deformed rindler space-times
... noncommutative counterparts of Rindler space-time, associated with generalized twist-deformed Poincare Hopf algebras [36] (see space-time (11)). Further, we investigate the gravito-thermodynamical radiation detected by such generalized twistdeformed Rindler observers in the vacuum, i.e., we find the ...
... noncommutative counterparts of Rindler space-time, associated with generalized twist-deformed Poincare Hopf algebras [36] (see space-time (11)). Further, we investigate the gravito-thermodynamical radiation detected by such generalized twistdeformed Rindler observers in the vacuum, i.e., we find the ...
Quantum computing Markus Kiili Opinnäytetyö
... how much resources are needed to perform the calculation with the best known algorithm. Although energy and memory needed are also resources, the most important resource used in classifying computational problems is how much time it takes to reach the solution. Time taken is proportional to the numb ...
... how much resources are needed to perform the calculation with the best known algorithm. Although energy and memory needed are also resources, the most important resource used in classifying computational problems is how much time it takes to reach the solution. Time taken is proportional to the numb ...
A Quantum Query Expansion Approach for Session Search
... van Rijsbergen (2004) proposed employing quantum theory (QT) formalism for modeling IR tasks [1] by showing that major IR models (logical, probabilistic and vector) can be subsumed by the single mathematical formalism in Hilbert vector spaces. Specifically, QT provides a geometrical vector represent ...
... van Rijsbergen (2004) proposed employing quantum theory (QT) formalism for modeling IR tasks [1] by showing that major IR models (logical, probabilistic and vector) can be subsumed by the single mathematical formalism in Hilbert vector spaces. Specifically, QT provides a geometrical vector represent ...
Introduction to Quantum Information Science
... Unfortunately, this is not a major increase in speed, nor is it a terribly interesting problem from a computer scientist stand point. However, it is a proof of concept that quantum computers can be more powerful than classical ones. Over the next decade Deutsch and others improved and discovered a f ...
... Unfortunately, this is not a major increase in speed, nor is it a terribly interesting problem from a computer scientist stand point. However, it is a proof of concept that quantum computers can be more powerful than classical ones. Over the next decade Deutsch and others improved and discovered a f ...
Application of Quantum Computing principles to Natural Language Processing
... are presented which the familiar reader can skip. This chapter is then followed by a broad analysis of various search and optimization techniques used classically in NLP. The intent of this section is two-fold. First, the unfamiliar reader can familiarize himself about the presented techniques. Seco ...
... are presented which the familiar reader can skip. This chapter is then followed by a broad analysis of various search and optimization techniques used classically in NLP. The intent of this section is two-fold. First, the unfamiliar reader can familiarize himself about the presented techniques. Seco ...
Minimally Entangled Typical Quantum States at Finite Temperature
... METTS are biased to be classical, which makes C‘ meaningful. It is surprising how little variation there is in C‘ from site to site. The METTS can be evolved in real time (say, with realtime DMRG). The ensemble averages of METTS states are time-independent, but the METTS themselves are not. Much as ...
... METTS are biased to be classical, which makes C‘ meaningful. It is surprising how little variation there is in C‘ from site to site. The METTS can be evolved in real time (say, with realtime DMRG). The ensemble averages of METTS states are time-independent, but the METTS themselves are not. Much as ...