The problem of observer and system of reference in physics is considered as well as an object-object and an object-subject approach to a physical description of reality. The evolutionarily formed methods underlying data processing of the first signal system and the algorithms for assemblage of sensations into object concepts and representation of reality in a space-time continuum are discussed. The methods for constructing a mental space as a tool for sign-based description of reality during information exchange are considered. The problems in understanding the quantum phenomena as the reality not subject to an object-based description are briefed, and the need in a system and integral concept as a concept adequate to reality is substantiated. The principles underlying the operation of a quantum computer, its distinctions from a classical computer, and the difficulties in presentation of the issues in question using an object-based language are discussed.
The problem of observer and system of reference in physics is considered as well as an object-object and an object-subject approach to a physical description of reality. The evolutionarily formed methods underlying data processing of the first signal system and the algorithms for assemblage of sensations into object concepts and representation of reality in a space-time continuum are discussed. The methods for constructing a mental space as a tool for sign-based description of reality during information exchange are considered. The problems in understanding the quantum phenomena as the reality not subject to an object-based description are briefed, and the need in a system and integral concept as a concept adequate to reality is substantiated. The principles underlying the operation of a quantum computer, its distinctions from a classical computer, and the difficulties in presentation of the issues in question using an object-based language are discussed.
. Quantum computers take advantage of interfering quantum alternatives in order to handle problems that might be too time consuming with algorithms based on classical logic. Developing quantum computers requires new ways of thinking beyond those in the familiar classical world. To help in this thinking, we give a description of the foundational ideas that hold in all of our successful physical models, including quantum theory. Our emphasis will be on the proper interpretation of our theories, and not just their statements. Our tact will be to build on the concept of information, which lies central to the operation of not just computers, but the Universe. For application to quantum computing, the essence of quantum theory is given, together with special precautions and limitations. Introduction. Having a grasp on the ideas behind a theory helps to apply it correctly, to understand its limitations, and to generate new ideas. Getting a firm hold on quantum theory is not an easy task, because our experiences and even our genetic predispositions have been developed in a world in which quantum effects are largely washed out. Remarkably, our predilection for finding logic behind the behavior of what we observe, including that of electrons and atoms, has led us to quantum theory, a description of nature that is hard for us to conceptualize, but is logical, accurate, and explains a wide variety of phenomena with only a few statements and input. As background to quantum theory and quantum computing, an attempt is made here to give the primitive notions and essential observations that underlie current physical theories, so that foundational ideas are explicit, and a common language is established. In our description, information storage and transfer is made central. A short description of quantum theory follows, and then applied to quantum computing, focusing on what the theory says, and particularly does not say, in areas where conceptual difficulties have arisen. Physical theory and reality. A physical theory is a logical model capable of making predictions of what we observe. It is judged by its accuracy in matching measurements, and by its economy, i.e. whether the proposed theory has only a few relationships and input data needed for its ability to explain observations over a wide realm.
A computer is a physical device that helps us process information by executing algorithms. An algorithm is a well-defined procedure, with finite description, for realizing an information-processing task. An information-processing task can always be translated into a physical task. When designing complex algorithms and protocols for various information-processing tasks, it is very helpful, perhaps essential, to work with some idealized computing model. However, when studying the true limitations of a computing device, especially for some practical reason, it is important not to forget the relationship between computing and physics. Real computing devices are embodied in a larger and often richer physical reality than is represented by the idealized computing model. Quantum information processing is the result of using the physical reality that quantum theory tells us about for the purposes of performing tasks that were previously thought impossible or infeasible. Devices that perform quantum information processing are known as quantum computers. In this book we examine how quantum computers can be used to solve certain problems more efficiently than can be done with classical computers, and also how this can be done reliably even when there is a possibility for errors to occur. In this first chapter we present some fundamental notions of computation theory and quantum physics that will form the basis for much of what follows. After this brief introduction, we will review the necessary tools from linear algebra in Chapter 2, and detail the framework of quantum mechanics, as relevant to our model of quantum computation, in Chapter 3. In the remainder of the book we examine quantum teleportation, quantum algorithms and quantum error correction in detail. We are often interested in the amount of resources used by a computer to solve a problem, and we refer to this as the complexity of the computation. An important resource for a computer is time. Another resource is space, which refers to the amount of memory used by the computer in performing the computation. We measure the amount of a resource used in a computation for solving a given problem as a function of the length of the input of an instance of that problem.
Today, many concepts from the dictionaries of academic psychology have entered the language of everyday communication. Perhaps the most common are the concepts of «subjective» and «objective». In many textbooks of psychology, «objective» is understood as something that belongs to the object itself, something that does not depend on the subject. The objective is opposed to the subjective-personal. Experimental research in the field of quantum physics questioned the division of the world into an impartial «objective reality» and its «subjective» (not impartial, biased) reflection, which provoked a crisis in this field of knowledge and the methodology of science as a whole. The main methodological problems of psychology are the question of the place of the mental in nature; on the relationship of mental and material phenomena, on the possibilities of human cognition - questions that also arose in the depths of quantum physics and were predetermined by the internal logic of their development. An excursion into quantum physics was necessary, firstly, for a deep understanding that reality is given to us in our sensations, perceptions, ideas and mental constructs (this was evidenced by the so-called «double slit experiment» and its interpretations) and we cannot say anything about reality as it is «in itself»; secondly, the realization that the foundations on which our knowledge is built differ from those in quantum physics. Currently, there is a dichotomy between material (physical) and conceptual reality. Thus, the principle of locality, which professes ordinary consciousness and according to which specific objects occupy a specific place in time and space, contradicts the principle of non-locality, according to which isolated systems do not exist at all and every particle of the universe is in «instantaneous» communication with all other particles. The world is created from the same quantum substance and it is impossible to say that one is the cause of the other. (This statement implies, in particular, a rethinking of the «principle of determinism» which requires the establishment of unambiguous causal relationships). The reality in which we live is not quantum, our language and stereotypes of thinking do not correspond to the nature of the phenomena described by quantum physics. It is about the deep properties of matter. Personally, I got the impression that the deeper you plunge into the world of atomic and subatomic, the more the outlines of the specific, material world familiar to us become blurred and the thinner the line between the physical and conceptual world, between the material and the spiritual becomes. The purpose of this article is to define the concepts of "objective" and "subjective" based on the analysis of achievements in quantum physics in the context of psychology.
The present study is concerned with the problem of realism in quantum mechanics. Contrary to the prevailing view that quantum mechanics forces us to abandon the concept of realism and reality, the author attempts to substantiate another standpoint. Quantum objects indeed exist in a different way from classical bodies. Before the act of measurement begins, one cannot attribute any specific properties to the quantum object observed, as they only occur in the course observation. The concept of observation, however, should not be interpreted as the inclusion of subjective traits in the description of nature. Observation records processes in space and time and establishes the fact of transition from the potential to the reality. The potential is described by a wave function, which in its meaning does not fall in the habitual space and time, whereas the actual is described in terms of a reduction of the wave function, i.e. the transition from a range of possible states to the single one, the observed. Whatever has been observed, in contrast, already belongs to ordinary space and time and can be detected. What follows is that, in quantum mechanics, it is the notion of reality which needs to be reconsidered, not the realism as such rejected. A reconsideration of this sort is conducted here within the framework of a double-modus picture of reality including both potential and actual being, where the quantum level of existence is distinguished from the observed modi of being as described by means of classical concepts. Such a scheme can be described in terms of Aristotelian metaphysics (the fact first pointed out by Heisenberg). The act of transition from potential to actual can be accounted for both in the language of Aristotle’s metaphysics and the language of modern science. In traditional metaphysics it is called the 'principle of individuation', while in modern science it is known as the extended Mach principle. It is argued that the development of these ideas leads to the rejection of Cartesian paradigm in which the existence of a material object always means an existence in space and time.
Over the past several decades, quantum information science has emerged to seek answers to the question: can we gain some advantage by storing, transmitting and processing information encoded in systems that exhibit unique quantum properties? Today it is understood that the answer is yes, and many research groups around the world are working towards the highly ambitious technological goal of building a quantum computer, which would dramatically improve computational power for particular tasks. A number of physical systems, spanning much of modern physics, are being developed for quantum computation. However, it remains unclear which technology, if any, will ultimately prove successful. Here we describe the latest developments for each of the leading approaches and explain the major challenges for the future. This review outlines the principles of operation of quantum computers and their elements. The theory of ideal computers that do not interact with the environment and are immune to quantum decohering processes is presented. Decohering processes in quantum computers are investigated. The review considers methods for correcting quantum computing errors arising from the decoherence of the state of the quantum computer, as well as possible methods for the suppression of the decohering processes. A brief enumeration of proposed quantum computer realizations concludes the review.