Quantum Compute Engines

Here is the sixty-seventh episode of Quantum Foam, Research Paradigms. This is your overall world view about reality and knowledge that guides what you study, what questions you ask, what data you collect, and how you analyze it. Common paradigms include positivism, post-positivism, interpretivism, constructivism, pragmatism, and critical theory. A research paradigm is a foundational world view that shapes how researchers perceive reality and knowledge. It influences the entire research process including the questions posed, the methods used, and the interpretation of results. The key components are ontology, epistemology, and axiology. Positivism believe in a singular objective reality that can be observed and quantified through empirical methods. Post-positivism accepts that while an objective reality exists, it can only be known imperfectly due to human limitations. Interpretivism focuses on understanding the subjective meanings and experiences of individuals. Pragmatism advocates for using both qualitative and quantitative methods as needed to address research questions. Critical theory examines how power dynamics shape social realities and aims to challenge inequalities through research. Understanding and articulating your research paradigm is crucial for several reasons. It shapes the choice of research methods and data analysis techniques and enhances transparency. Research paradigms are essential for framing research questions and determining appropriate methodologies ultimately influencing the outcomes and impact of research studies. This is important and goes over the philosophy of how one is to do their research. The aim is to outline different research paradigms. We explore 3 philosophical underpinnings of 3 major paradigms. They are positivism, interpretivism, and critical theory. There are up to 4 components including ontology, epistemology, methodology, and methods. Researchers can investigate different phenomena under any of the 3 paradigms and they should not askew the possibility of subscribing to different paradigms because any concerns that they have must be mutually exclusive. The decision of choosing a philosophical outlook to investigate a phenomenon should be guided by the necessities and requirements of a research study, rather than the obdurate insistence of adhering to 1 particular philosophical outlook to the exclusion of others. A paradigm is a basic belief system and theoretical framework with assumptions about ontology, epistemology, methodology, methods. It is our way of understanding the reality of the world and studying it. In this episode, we are looking at the 4 components of a research paradigm. Researchers have assumptions, sometimes implicit about reality, how it exists, and what can be known about it. A researcher can debate the possibility and desirability of objectivity, subjectivity, causality, validity, and generalizability in their area of expertise. The methods to use for a research project will depend on the design of that project and the researcher's theoretical mindset. There are different approaches to educational research that vary widely. These are some of the main ideas involved in current research paradigms.

Here is the sixty-second episode of Quantum Foam, Periodic Table Of Elements. This is a table of the elements that is ordered by the atomic number of each element. This makes the reoccurring atomic properties easier to see. The rows are periods and the columns are groups. This creates a systematic arrangement of chemical elements. The atomic number is the number of protons in an elements nucleus. Each period corresponds to the number of electron shells in the atoms of the elements in that row. Elements in the same group have similar chemical properties. The elements are described by 1 or 2 letters denoting a shortened version of the name of the element. This is the function of what each square represents in the Periodic Table Of Elements. The first widely used table of elements was created in 1869. As of now, there are a total of 118 elements in the table. When the table was first created they left open spaces for undiscovered elements to be filled in a later time as soon as the new elements were discovered. This table is useful in physics as well as in chemistry. We are more interested in the fundamental chemistry as it pertains to things such as material physics. There are vertical, horizontal, and diagonal trends that characterize the periodic table. Examples are the metallic character of some elements as well as the non-metallic character of other elements. This is modern chemistry. The periodic table continues to evolve with the progress of science. Only elements up to the atomic number of 94 exist in nature. Elements beyond that are synthetic elements that can only be obtained artificially. These elements do not occur naturally on earth. It is not yet known how many additional elements may be possible. Hydrogen is the most abundant element in the universe. It constitutes about 75 percent of all normal matter across the cosmos. Rubidium is an element that we are especially interested in because it is used in atomic clocks. They are widely used in applications such as GPS and telecommunications. There is a book called chemical abstracts that is released every week due to the large number of abstracts found around the world. It is maintained as a digital publication by that service. Neutrons in the element do not affect the atoms chemical identity but does affect the atomic weight. Atoms with the same number of protons in the nucleus but different amounts of neutrons are called isotopes. Isotopes are never separated in the periodic table. They are always grouped together under a single element. It would get too confusing otherwise. It is relatively easy to predict the chemical properties of an element if one knows the properties of the elements around it. All 24 artificial elements are known to be radioactive. This episode covers the basics of the Periodic Table Of Elements and is all that we need to go into for now.

Here is the seventieth episode of Quantum Foam, Entropy. This is the measure of a systems thermal energy per unit temperature that is unavailable for doing useful work. Because work is obtained from ordered molecular motion, the amount of entropy is also a measurement of the molecular disorder or randomness of a system. The concept of entropy provides deep insight into the direction of spontaneous change for many everyday phenomena. There are a lot of examples that is relevant to this topic. Its introduction by Rudolf Clausius in 1850 is a highlight of nineteenth century physics. The idea of entropy provides a mathematical way to encode the intuitive notion of which processes are impossible even though they would not violate the fundamental law of conservation of energy. For example, a block of ice placed on a hot stove surely melts while the stove grows cooler. Such a process is called irreversible because no slight change will cause the melted water to turn back into ice while the stove grows hotter. In contrast, a block of ice placed in an ice water bath will either thaw a little more or freeze a little more depending on whether a small amount of heat is added to or subtracted from the system. Such a process is reversible because only an infinitesimal amount of heat is needed to change its direction from progressive freezing to progressive thawing. Similarly, compressed gas confined in a cylinder could either expand freely into the atmosphere if the valve were open, an irreversible process, or it could do useful work by pushing a movable piston against the force needed to confine the gas. This is the main idea involved with the concept of entropy. The concept of entropy was first introduced in 1850 by Clausius as a precise mathematical of testing whether the second law of thermodynamics is violated by a particular process. The test begins with the definition that if an amount of heat Q flows into a heat reservoir at constant temperature T then its entropy S increases by delta S equals Q over T. The formula is delta S equals Q over T sub 2 minus Q over T sub 1. If T sub 1 equals T sub 2 then the reservoirs are in equilibrium and so delta S equals 0. We are interested in how this information describes the efficiency of heat engines. What is the connection between entropy and the second law? Heat at the molecular level is the random kinetic energy of motion of molecules and collisions between molecules. Because individual collisions are unchanged by reversing the direction of time, heat can flow just as well in 1 direction as the other. Thus, from the point of view of fundamental interactions, there is nothing to prevent a chance event in which a number of slow moving molecules happen to collect together in 1 place and form ice while the surrounding water becomes hotter. Such chance events could be expected to occur from time to time in a vessel containing only a few water molecules. The same chance events are never observed in a full glass of water. Not because they are impossible, but because they are exceedingly improbable. This is because a small glass of water an enormous number of interacting molecules, about 10 to the twenty-fourth molecules, making it highly unlikely that, in the course of their thermal motion a significant fraction of cold molecules will collect together in 1 place. This demonstrates the idea behind the very complicated topic of entropy.

Here is the sixty-fifth episode of Quantum Foam, Gravity. It is the force that attracts 2 bodies towards each other such as the earth pulling objects toward its center. It is important for keeping planets around the sun and is a fundamental interaction in the universe. The force of gravity extends infinitely although its strength diminishes with distance. The strength of gravity depends on the masses of the objects involved. Isaac Newton first described gravity as the force that governs the motion of celestial bodies. Einstein later described gravity as the curvature of space-time caused by mass. Gravity is the weakest known force in nature and thus plays no role in determining the inertial internal properties of every day matter. Einstein released his papers on gravity in 1905 and 1915. Gravity acts through the space and effects objects from one to another through the empty space. Newton's law of universal gravitation states that any 2 objects attract each other with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Johannes Kepler accepted the argument of Nicolaus Copernicus, which stated that the planets orbit the sun and not the earth. Using the improved measurements of Tycho Brahe, Kepler described the planetary orbits with simple geometric and arithmetic relations. He then proposed 3 laws of planetary motion. Galileo was the first to show by experiment that bodies fall with the same acceleration whatever their composition. This is the weak principle of equivalence. Newton discovered the relationship between the motion of the moon and the motion of a body falling freely on earth. He assumed the existence of an attractive force between all massive bodies, one that that does not require bodily contact and that acts at a distance. He concluded that a force exerted by earth on the moon is needed to keep it in a circular motion about earth rather than moving in a straight line. He assumed the existence of an attractive force between all massive bodies that does not required bodily contact. In his theory, every least particle of matter attracts every other particle gravitationally. On that basis, he showed that the attraction of a finite body with spherical symmetry is the same as the whole mass at the center of the body. Thus, Newton could relate the 2 accelerations of the moon and that of a body falling freely on earth to a common interaction. He saw that the gravitational force between bodies must depend on the masses of the bodies. The weight of an object can be measured by the equal and opposite force necessary to prevent the downward acceleration. The moon has about 1 sixth the weight that is measured on the earth. The Apollo astronauts proved this as they were able to hop around on the moon pretty easily. A satellite going around the earth is in free fall. It is falling sideways at just the right speed. The gravity allows it to be in a state of free fall. Gravity is very important in describing these orbital devices.

Here is the sixty-first episode of Quantum Foam, Modern Topics In Physics And Astronomy. This is a seminar that you take when you are getting a background in physics. At the university that I attended, Physics and Astronomy are under the same department. There is new hardware being used to record these podcasts. The new hardware is a Shure SM48 dynamic cardioid microphone and a Behringer 8-channel mixer. Each podcast episode is basically a condensed hour-long lecture down to a half hour at an expeditious pace. This episode is a seminar that you take that is worth 1 credit hour at the university. This seminar is designed to acquaint physics students with exciting topics in the field. According to the first syllabus, you have to complete 2 essays that are 3 or 4 pages long. They want you to speak to the presenters 1 on 1 in order to clarify the material. 1 of the papers need to be turned in halfway through the course and the other one needs to be turned in at the end of the semester. Your papers should step out of the page due to the fact that a great many similar papers have been written in the past. There are a variety of topics that are covered in the seminar throughout the semester. It is likely that there is much research going on at your school. These are examples from the University Of Nebraska at Lincoln. This is how you find out what is going on where you attend. We are going to be going into another syllabus that is a little more recent. Things change from decade to decade. We are covering 2 different syllabi from 2 different decades. Each week there will be a different seminar that covers what research is going on. Some of the seminars may cover a more general topic. There is a similar seminar that is required for PhD students as well. This seminar requires worksheets of questions that cover the topic of the week. It is recommended to reach out to the speakers about what they covered, but you cannot ask them the answers to the questions on the worksheet. Some professors put more emphasis on attendance than others, it just depends. They generally don't want you to take audio recordings of the lectures unless it is proven that you have a disability. If this is the case, you will have to have special permission to do so. This seminar covers another set of subjects that is different from the syllabus in the first half of this episode. These are the things that are covered in Modern Topics In Physics And Astronomy. These seminars are worth only 1 credit and they are at the university level. You should fit this class in with your other classes where ever it works out the best. It doesn't need to be taken right away, but you might as well get it done sooner rather than later. For good measure, we get into 2 of the subjects that were covered in the syllabi, 1 from each syllabi. These are examples of what you can expect from this class.

Here is the sixty-ninth episode of Quantum Foam, Locality And Causality. The principle of locality states that an object is influenced directly only by its immediate surroundings. A theory that includes the principle of locality is said to be a local theory. This is an alternative to the concept of instantaneous or non-local action at a distance. Action at a distance is the concept that an objects motion can be affected by another object without the 2 being in physical contact. It is the concept of the non-local interaction of objects that are separated in space like Newton's law of universal gravitation. He overturned the Aristotelian ideas that an object has to be in contact with another object in order for them to have an effect on one another. Gravity has an effect on one object and another object when they are in close proximity with one another and when their masses are relatively large. The earth and the moon are connected by gravity. This is locality at its core. Locality evolved out of the field theories of classical physics. The idea is that for a cause at one point to have an effect at another point something in the space between those points must mediate the action. To exert an influence something such as a wave or particle must travel through the space between the 2 points carrying the influence. Locality and causality are related in that they determine whether or not objects have an effect on one another in a general sense. The special theory of relativity limits the maximum speed at which causal influence can travel to the speed of light, denoted as c. Therefore, the principle of locality that in an event at one point cannot cause a truly simultaneous result at another point. What role, if any, do causal notions play in physics? On the one hand, it might appear intuitively obvious that physics aims to provide us with causal knowledge of the world and that causal claims are an integral part of physics. On the other hand, there is an influential philosophical tradition dating back to Ernst Mach and to Bertrand Russell's extremely influential article on the notion of cause from 1912 denying the applicability or at least the usefulness of causal notions in physics. While this tradition is perhaps not as dominate today as it once was, there continues to be a lively and active philosophical debate on whether causal notions can play a legitimate roll in physics, and if yes, what role that might be. This entry surveys the main arguments in this debate focusing in particular on arguments appealing to putatively distinguishing characteristics of theorizing in physics. In discussing the role of causation in physics or in our conception of the world more generally, we may be engaged in several different philosophical projects. While there are obvious points of contact among these projects and a philosophical account may contribute to more than 1 project simultaneously, the 3 projects distinctly have different core aims and are characterized by different methodologies. The aim of the metaphysical project is to uncover the metaphysical grounds or truth makers or causal claims. The main division in the metaphysics of causation is between broadly Humean and Non-Humean accounts of causation. Humean accounts deny the existence of fundamental modalities and maintain that fundamentally the universe is composed of a distribution of categorical properties and relations instantiated by localized entities. This covers the very deep philosophical accounts of causation as it is currently understood in the fields of physics and other related sciences.

Here is the sixty-eighth episode of Quantum Foam, Quantum Compute Engines. A quantum computer is a computer that represents and processes information using quantum states. A quantum state is a mathematical entity that represents a physical system. Quantum mechanics specifies the construction, evolution, and measurement of a quantum state. Knowledge of the quantum state and the rules for the systems evolution in time exhausts all that can be known about a quantum system. Quantum computations exploit phenomena such as superposition, interference, and entanglement. Quantum computers have the potential to complete some calculations exponentially faster than classical computers. A large-scale quantum computer could break widely used encryption schemes and aid physicists in performing physical simulations. Current hardware implementations of quantum computation are largely experimental and are suitable for only certain specialized tasks. The basic unit of computation in quantum computing is the qubit. It serves a similar function as the bit in ordinary or classical computing. Unlike a classical bit, a qubit can exist in a linear combination of states known as a quantum superposition. The result of measuring a qubit is 1 of the 2 states given by a probabilistic rule. If a quantum computer manipulates the qubit in a particular way wave interference effects amplify the probability of the desired measurement results. Quantum algorithm design involves creating procedures that allow a quantum computer to perform this amplification. A Bloch Sphere is a theoretical representation that is used to depict the idea of a qubit. A quantum compute engine is basically the software that runs on a quantum computer. One of the most heated debates in quantum computing is over which hardware approach will ultimate win and become the next type of computer architecture. There are approaches such as superconducting qubits, trapped ions, neutral atoms, photonics, topological qubits, and quantum annealers that all take different routes to the same broad goal. Each have different strengths and limitations. Superconducting and trapped ion systems are among the most commercially developed today. Neutral atoms are being explored for larger systems. Photonics have a strong tie to quantum networking. Quantum annealers target specific optimization problems. Topological qubits remain at an earlier stage. Each approach offers different trade-offs in speed, error rates, coherence time, and scalability. For the last quarter of the episode, we are taking a look at a specific open-sourced quantum compiler that is used in IBM quantum systems. This is an intermediate, multi-level representation framework which includes definitions for several dialects to represent parameterized quantum computation at multiple levels of abstraction. The compiler also offers Python bindings and a diagnostic system. This can generate an abstract syntax tree that is translated to a high-level dialect. An extensible, hierarchical target system for modeling the heterogeneous nature of control systems at compilation time is included. Target-based and generic compilation passes are added using a pipeline interface to translate the input down to low-level intermediate representations and can take advantage of back ends and tooling to generate machine executable binaries. This is an example of how a real quantum compute engine utilizes a system that is meant to run quantum algorithms with other useful functionality.

Here is the sixty-fourth episode of Quantum Foam, Philosophy. It is a systematic study of general and fundamental questions concerning topics like existence, knowledge, mind, reason, language, and value. It is a rational and critical inquiry that reflects on its methods and assumptions. Historically subjects like physics and psychology formed part of philosophy. Now, they are considered separate academic disciplines in the modern sense of the term. Western philosophy originated in ancient Greece and covers a wide area of philosophical sub-fields. A central topic in Arabic-Persian philosophy is the relation between reason and revelation. Indian philosophy covers the spiritual problem of how to reach enlightenment with the exploration of the nature of reality and the ways of arriving at knowledge. Chinese philosophy focuses principally on practical issues about right social conduct, government, and self- cultivation. This is the development of one's mind or capacities through one's own efforts. Major branches of philosophy are epistemology, ethics, logic, and metaphysics. Metaphysics is the branch of philosophy that examines the basic nature of most fundamental structures of reality. It examines the most general features of reality, existence, objects, and properties. Epistemology studies what knowledge is and how to acquire it. Ethics investigates moral principles and what constitutes right conduct. Logic is the study of correct reasoning and explores how good arguments can be distinguished from bad ones. There is a process is releasing philosophical works which includes submitting papers to various peer-reviewed journals. There are different types of philosophy such as that of art. It examines the nature of artistic creativity, the meaning of artwork, and audience appreciation. We are talking about the appreciation of the audio that comes in these and other podcasts. There is social epistemology, which is the inquiry into the social aspects of knowledge. Another flavor is formal epistemology. This is the application of formal models to study knowledge. Metaepistemology is the study of the foundations of epistemology itself. Ethics is the study of value and morality. Applied ethics is the philosophical examination from a moral standpoint of particular issues in private and public life that are matters of moral judgement. Bioethics is the analysis of controversial ethical issues emerging from advances in medicine. Environmental ethics studies ethical issues concerning the non-human world. Medical ethics studies ethical issues concerning medicine and medical research. There are many other types of ethics that get specific in the field of philosophy. Logic is the systematic study of the form of valid inference and reasoning. This is both a branch of philosophy and mathematics. Ontology is the study of philosophical being. It is traditionally seen as a sub-field of metaphysics and focuses on the most general features of reality. One last area we cover is the philosophy of space and time. This is the branch of philosophy concerned with the issues surrounding ontology, epistemology, and character of space and time.

Here is the sixty-third episode of Quantum Foam, Electrical And Electronic Circuits. Electrical circuits deal with the flow of electricity and can operate at high voltages. Electronic circuits incorporate active components like transistors and diodes allowing for more complex functions at lower voltages. Electrical circuits focus on the current distribution, electronic circuits focus on voltage distribution and signal processing. Graphics cards are some of the most complicated electronics that there is. We are interested in electronics as it pertains to a class that you take in college. It is similar to what is taught is high school but is a little more advanced. We have had computer microchips for a long time and they are now getting way more complicated. Systems on a chip is an example of a very complicated electronic circuit. This makes possible the fields of electrical engineering, computer science, and artificial intelligence with decision making. Something that you can get into is low-level programming in the C language coming from a Python background. It can focus on pointers, how data structures are stored in memory, and the stack and heap. Another thing to get into is how to program the relatively low-level assembly language. There is also data structures and algorithms. Other subjects are taken that have to do with electronics in a university setting. This is geared towards a computational degree. The more interesting circuits are the electronic circuits. These days, electrical circuits have some sort of electronic circuits included within the device. Some basic electronic components are resistors, capacitors, inductors, various diodes, LEDs, transistors, integrated circuits, switches, and power sources. Each component has a specific job. A resistor limits current and divides current. A diode can allow current in 1 direction. A transistor switches or amplifies signals. A switch opens or closes a circuit. A battery or power source supplies electrical energy. An integrated circuit processes or controls signals on the circuit. LEDs produce light. An inductor stores energy in a magnetic field. A capacitor stores charge and smooths voltage. There are different ways to describe electronic components using standard written symbols. There are passive components, active components, and electromechanical components. There are certain brands of electronics that are known to be good such as the original RCA cables. We just need to have a run-through course so that we are familiar with electronics. The goal is to understand what function each electronic component has in the circuit. The flow of energy can be depicted using a formula. The key equation is V equals I times R. This is Ohm's law, which connects voltage to current and resistance. This is a basic description of various electrical and electronic components that you are likely to come across.

Here is the sixty-sixth episode of Quantum Foam, Granular Time. Temporal granularity is the level of detail concerning time. Carlo Rovelli suggests that time is not continuous and is made up of discrete units. The smallest temporal division is known as the Planck time. This challenges time as a smooth, flowing entity and aligns with principles from quantum mechanics. Carlo Rovelli presents a revolutionary view of time in his work. Time may have to be quantized in addition to quantizing particles. He says that time is made up of small, indivisible units rather than being a smooth continuum. The notion of granular time undermines the idea of a uniform flowing time that we commonly experience. He says that our perception of time may be an illusion shaped by our limited understanding. Quantum gravity is a field of theoretical physics that seeks unification of the theory of gravity with the principles of quantum mechanics. This deals with the area where gravity and quantum effects both cannot be ignored such as in the vicinity of black holes and right after The Big Bang. As a theory, Loop Quantum Gravity postulates that the structure of space and time is composed of finite loops woven into an extremely fine fabric or network. Spin foam has a scale that is on the order of a Planck length. This is 10 to the negative 35 meters. The most well-developed theory that has been advanced as a direct result of Loop Quantum Gravity is called Loop Quantum Cosmology. On the other side is String Theory and other Grand Unified Theories. Granular time is in discrete packets of time as measured by a clock. Through the lens of Loop Quantum Gravity, Rovelli challenges our deeply ingrained notions of time, proposing a radical shift in perspective. Time is an illusion, an emergent phenomena arising from a deeper timeless reality. General relativity beautifully describes gravity as the curvature of space-time. This links space and time together. The real problems arise when attempting to reconcile general relativity with quantum mechanics. This is what physicists have been trying to do for over 100 years. Loop Quantum Gravity quantizes space-time itself. This theory does not require a preexisting notion of time. Rovelli proposed the thermal time hypothesis. This suggests that time emerges as a statistical effect associated with our incomplete knowledge of the universe. Time arises from our statistical description of the fundamental timeless dynamics of space. One of the challenges of Loop Quantum Gravity is the lack of experimental evidence to support its predictions. Unlike String Theory, which also proposes a quantized space-time, Loop Quantum Gravity makes predictions that are, in principle, testable. These are difficult to detect with current technology. This theory has a radical approach to quantizing space-time and is a thought-provoking avenue for exploring the deepest mysteries of the universe. The quest to understand the nature of time is far from over.