Quantum Bootstrap Aggregation

We set out a strategy for quantizing attribute bootstrap aggregation to enable variance-resilient quantum machine learning. To do so, we utilise the linear decomposability of decision boundary parameters in the Rebentrost et al. Support Vector Machine to guarantee that stochastic measurement of the output quantum state will give rise to an ensemble decision without destroying the superposition over projective feature subsets induced within the chosen SVM implementation. We achieve a linear performance advantage, O(d), in addition to the existing O(log(n)) advantages of quantization as applied to Support Vector Machines. The approach extends to any form of quantum learning giving rise to linear decision boundaries

Quantum Bootstrap Aggregation

We set out a strategy for quantizing attribute bootstrap aggregation to enable variance-resilient quantum machine learning. To do so, we utilise the linear decomposability of decision boundary parameters in the Rebentrost et al. Support Vector Machine to guarantee that stochastic measurement of the output quantum state will give rise to an ensemble decision without destroying the superposition over projective feature subsets induced within the chosen SVM implementation. We achieve a linear performance advantage, O(d), in addition to the existing O(log(n)) advantages of quantization as applied to Support Vector Machines. The approach extends to any form of quantum learning giving rise to linear decision boundaries

Quantum error-correcting output codes

Quantum machine learning is the aspect of quantum computing concerned with the design of algorithms capable of generalized learning from labeled training data by effectively exploiting quantum effects. Error-correcting output codes (ECOC) are a standard setting in machine learning for efficiently rendering the collective outputs of a binary classifier, such as the support vector machine, as a multi-class decision procedure. Appropriate choice of error-correcting codes further enables incorrect individual classification decisions to be effectively corrected in the composite output. In this paper, we propose an appropriate quantization of the ECOC process, based on the quantum support vector machine. We will show that, in addition to the usual benefits of quantizing machine learning, this technique leads to an exponential reduction in the number of logic gates required for effective correction of classification error

Quantum error-correcting output codes

Quantum machine learning is the aspect of quantum computing concerned with the design of algorithms capable of generalized learning from labeled training data by effectively exploiting quantum effects. Error-correcting output codes (ECOC) are a standard setting in machine learning for efficiently rendering the collective outputs of a binary classifier, such as the support vector machine, as a multi-class decision procedure. Appropriate choice of error-correcting codes further enables incorrect individual classification decisions to be effectively corrected in the composite output. In this paper, we propose an appropriate quantization of the ECOC process, based on the quantum support vector machine. We will show that, in addition to the usual benefits of quantizing machine learning, this technique leads to an exponential reduction in the number of logic gates required for effective correction of classification error

Quantum Approaches to Data Science and Data Analytics

In this thesis are explored different research directions related to both the use of classical data analysis techniques for the study of quantum systems and the employment of quantum computing to speed up hard Machine Learning task

Reversible Computation: Extending Horizons of Computing

This open access State-of-the-Art Survey presents the main recent scientific outcomes in the area of reversible computation, focusing on those that have emerged during COST Action IC1405 "Reversible Computation - Extending Horizons of Computing", a European research network that operated from May 2015 to April 2019. Reversible computation is a new paradigm that extends the traditional forwards-only mode of computation with the ability to execute in reverse, so that computation can run backwards as easily and naturally as forwards. It aims to deliver novel computing devices and software, and to enhance existing systems by equipping them with reversibility. There are many potential applications of reversible computation, including languages and software tools for reliable and recovery-oriented distributed systems and revolutionary reversible logic gates and circuits, but they can only be realized and have lasting effect if conceptual and firm theoretical foundations are established first

Reversible Computation: Extending Horizons of Computing

This open access State-of-the-Art Survey presents the main recent scientific outcomes in the area of reversible computation, focusing on those that have emerged during COST Action IC1405 "Reversible Computation - Extending Horizons of Computing", a European research network that operated from May 2015 to April 2019. Reversible computation is a new paradigm that extends the traditional forwards-only mode of computation with the ability to execute in reverse, so that computation can run backwards as easily and naturally as forwards. It aims to deliver novel computing devices and software, and to enhance existing systems by equipping them with reversibility. There are many potential applications of reversible computation, including languages and software tools for reliable and recovery-oriented distributed systems and revolutionary reversible logic gates and circuits, but they can only be realized and have lasting effect if conceptual and firm theoretical foundations are established first

COMPLEX ACTION METHODOLOGY FOR ENTERPRISE SYSTEMS (CAMES): AN EXPERIMENTAL ACTION RESEARCH INQUIRY INTO COMMUNICATIVE ACTION AND QUANTUM MECHANICS FOR ACTION RESEARCH FIELD STUDIES IN ORGANISATIONAL CONTEXT

Current action research methodologies bias observations severely and render quantification models of subjective data uncertain. Thus, this research thesis aims to design a scientifically rigorous action-science methodology process that establishes a subject-bias-free method for communication in an organisational context. This investigation aims to apply scientific rigour to this issue and to verify the general applicability of mathematical formalism of quantum mechanics to address organisational venture that includes a “wicked problem” (Stubbart, 1987, quoted in Pearson and Clair, 1998, p. 62) of how to communicate and collaborate appropriately. The subjective data collection and quantification models of this thesis build on the quantitative formalism of quantum mechanics and qualitative formalism of the theory of communicative action. Mathematical and ontological formalism combine into a novel research strategy with planned instrumentation for action research field studies summarised under the term ‘Complex Action Methodology for Enterprise Systems’ (CAMES). The outcome is a process to understand the behavioural action of organisational members. This process is not technical, and neither does it involve a machine or apparatus. The process is primarily mathematical and requires that participants act under a new identity, a virtual identity. Similarly, the data analysis does not require a specific machine, technology or an apparatus. A spreadsheet calculator will primarily be sufficient for low entry. Data collection occurs in one block with an average duration time of 10 minutes in a virtual location. The practice can, therefore, use this thesis’ procedures for bias-free quantification of subjective data and prediction of an individual’s future behaviour with certainty. Prediction of an individual’s future behaviour with certainty provides to the organizational practice what organisational practice lacks but urgently requires. The certainty that claimed findings of behaviour in organisational context requires to intervene and steer. Certainty and justification for planned intervening and steering initiatives secure funding