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IEEE Transactions on Instrumentation and Measurement

Quantum mechanics and precision measurements

Norman F. Ramsey

Published Jun 1, 1987• 8 citations
Publisher

Abstract

The quantum mechanical foundation of modern precision physical measurements is discussed with emphasis on five key features of quantum mechanics which underlie such measurements. It is argued that quantum theory affords more advantages than limitations for achieving high precision in determination of fundamental constants and related quantities.

DOI
10.1109/tim.1987.6312658

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The quantum mechanical foundation of modern precision physical measurements is discussed with emphasis on five key features of quantum mechanics which underlie such measurements. It is argued that quantum theory affords more advantages than limitations for achieving high precision in determination of fundamental constants and related quantities.
Precision metrology has undergone a revolution thanks to quantum measurement techniques, which have made it possible to determine basic constants with previously unheard-of accuracy and to improve timekeeping. These techniques, which are based on the ideas of quantum physics, use entanglement, superposition, and quantum state interference to increase measurement accuracy beyond what is possible with classical approaches. the most recent advancements in high-precision quantum measurement methods, with an emphasis on how they can be used to determine fundamental constants like Planck's constant and the fine-structure constant. Additionally, atomic clocks and optical lattice clocks have advanced timekeeping by providing remarkably accurate time standards. There is also discussion of how quantum-enhanced sensors can improve temperature, electromagnetic field, and gravitational wave measurements. In order to redefine precision in science and industry, we conclude by outlining potential directions for incorporating quantum technologies into global metrology frameworks.
This paper explores the potential of quantum sensors for achieving quantum precision measurement. The core claim is that leveraging the inherent properties of quantum sensors, specifically quantum effects like tunneling and entanglement, can enable significantly more accurate measurements of physical quantities compared to classical techniques. This work outlines the fundamental principles and theoretical frameworks underpinning this approach, focusing on the mechanisms by which quantum sensors achieve this enhanced precision. We examine various quantum sensor modalities, including SQUID magnetometers, atomic clocks, and NV centers, and discuss the challenges and future directions in this burgeoning field. The primary objective is to demonstrate how quantum measurement, exploiting the principles of quantum mechanics, can surpass the limitations imposed by classical measurement methodologies. The discussion includes a review of relevant theoretical concepts and a conceptual framework for understanding the relationship between sensor design, quantum effects, and measurement precision. Ultimately, this paper aims to provide a foundational understanding of the transformative potential of quantum sensing for precision measurement applications.
The accuracies of measurements of almost all fundamental physical constants have increased by factors of about 10 000 during the past 60 years. Although some of the improvements are due to greater care, most are due to new techniques based on quantum mechanics. Although the Heisenberg Uncertainty Principle often limits measurement accuracies, in many cases the validity of quantum mechanics makes possible the vastly improved measurement accuracies. Seven quantum features that have a profound influence on the science of measurements are: (1) Existence of discrete quantum states of energy. (2) Energy conservation in transitions between two states. (3) Electromagnetic radiation of frequency v is quantized with energy hv per quantum. (4) The identity principle. (5) The Heisenberg Uncertainty Principle. (6) Addition of probability amplitudes (not probabilities). (7) Wave and coherent phase phenomena. Of these seven quantum features, only the Heisenberg Uncertainty Principle limits the accuracy of measurements, and its affect is often negligibly small. The other six features make possible much more accurate measurements of quantum systems than with almost all classical systems. These effects are discussed and illustrated.
Conceptual Foundations of Quantum Mechanics provides a detailed view of the conceptual foundations and problems of quantum physics, and a clear and comprehensive account of the fundamental physical implications of the quantum formalism. This book deals with nonseparability, hidden variable theories, measurement theories and several related problems. Mathematical arguments are presented with an emphasis on simple but adequately representative cases. The conclusion incorporates a description of a set of relationships and concepts that could compose a legitimate view of the world.
The accuracies of measurements of almost all fundamental physical constants have increased by factors of about 10,000 during the past 60 years. Although some of the improvements are due to greater care, most are due to new techniques based on quantum mechanics. In popular accounts of quantum mechanics, such great emphases is placed on the Heisenberg Uncertainty Principle that it often appears that the primary effect of quantum mechanics should be to diminish measurement accuracy whereas in most cases it is the validity of quantum mechanics that makes possible the vastly improved measurement accuracies. Seven quantum features that have a profound influence on the science of measurements are: (1) Existence of discrete quantum states of energy Wi. (2) Energy conservation in transitions between two states. (3) Electromagnetic radiation of frequency ν is quantized with energy hν per quantum. (4) The identity principle. (5) The Heisenberg Uncertainty Principle. (6) Addition of probability amplitudes (not probabilities) so P=|ψ1 +ψ2 |2 ≠|ψ1|2 + |ψ2 |2. (7) Wave and coherent phase phenomena. Of these seven quantum features, only the Heisenberg Uncertainty Principle limits the accuracy of measurements, and its affect is often negligibly small. The other six features make possible much more accurate measurements of quantum systems than with almost all classical systems and the identity principle provides meaning and significance to highly precise measurements with quantized systems. These effects are discussed and illustrated.
This modern textbook offers an introduction to Quantum Mechanics as a theory that underlies the world around us, from atoms and molecules to materials, lasers, and other applications. The main features of the book are: * Emphasis on the key principles with minimal mathematical formalism * Demystifying discussions of the basic features of quantum systems, using dimensional analysis and order-of-magnitude estimates to develop intuition * Comprehensive overview of the key concepts of quantum chemistry and the electronic structure of solids * Extensive discussion of the basic processes and applications of light-matter interactions * Online supplement with advanced theory, multiple-choice quizzes, etc.