the paper deal with non-commutative geometry. the notion of quantumspheres was introduced by podles. here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.

Quantum computers are important examples of processes whose evolution can be described in terms of iterations of single step operators or their adjoints. Based on this, Hamiltonian evolution of processes with associated step operators T is investigated here. The main limitation of this paper is to processes which evolve quantum ballistically, i.e. motion restricted to a collection of noninterse...

Physical implementations of quantum key distribution (QKD) protocols, like the Bennett-Brassard (BB84), are forced to use attenuated coherent quantum states, because the sources of single photon states are not functional yet for QKD applications. However, when using attenuated coherent states, the relatively high rate of multi-photonic pulses introduces vulnerabilities that can be exploited by ...

Mainstream machine learning techniques such as deep learning and probabilistic programming rely heavily on sampling from generally intractable probability distributions. There is increasing interest in the potential advantages of using quantum computing technologies as sampling engines to speed up these tasks. However, some pressing challenges in state-of-the-art quantum annealers have to be ov...

Despite rapid recent progress towards the development of quantum computers capable of providing computational advantages over classical computers, it seems likely that such computers will, initially at least, be required to run in a hybrid quantum-classical regime. This realisation has led to interest in hybrid quantum-classical algorithms allowing, for example, quantum computers to solve large...

The growth of self-assembled quantum dots has been intensively studied in the last decade. Despite substantial efforts, a number of details of the growth process remain unknown. The reason is the inability of current characterization techniques to image the growth process in real time. In this work, this limitation is alleviated by the use of kinetic Monte Carlo simulations in conjunction with ...

A known limitation of the Probability Ranking Principle (PRP) is that it does not cater for dependence between documents. Recently, the Quantum Probability Ranking Principle (QPRP) has been proposed, which implicitly captures dependencies between documents through“quantum interference”. This paper explores whether this new ranking principle leads to improved performance for subtopic retrieval, ...

Compact categories have lately seen renewed interest via applications to quantum physics. Being essentially finite-dimensional, they cannot accomodate (co)limit-based constructions. For example, they cannot capture protocols such as quantum key distribution, that rely on the law of large numbers. To overcome this limitation, we introduce the notion of a compactly accessible category, relying on...

A tremendous number of devices, a limitation of wiring, and very low power dissipation density are design constraints of future nanoelectronic circuits composed of quantum-effect devices. Furthermore, functional integration, which is the possibility of exploiting quantum effects to obtain a function specific behavior, becomes a core design principle. This paper analyzes the effect of this techn...

Landauer argues that since erasure is a logical function that does not have a single-valued inverse it must be associated with physical irreversibility and therefore require heat dissipation. It is widely accepted that quantum mechanics is our most accurate description of our world. Can Landauer’s erasure principle be deduced by the quantum mechanics if we accept the completeness of quantum the...