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Quantum Sensing and Measurement

Gary Alexander Steele, Toeno van der Sar

Published Nov 16, 2023• 0 citations
Publisher

Abstract

In this open textbook, we explore concepts of sensing, noise, and measurement in the dynamics of open quantum systems.
DOI
10.59490/tb.82

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Abstract In the ideal quantum Zeno (QZ) effect, repeated quantum projective measurements can freeze the coherent dynamics of a quantum system. However, in the weak QZ regime, measurement back-actions can allow the sensing of semi-classical field fluctuations. In this regard, we theoretically show how to combine the controlled manipulation of a quantum two-level system, used as a probe, with a sequence of projective measurements to have direct access to the noise correlation function. We experimentally test the effectiveness of the proposed noise sensing method on a properly engineered Bose–Einstein condensate of 87 Rb atoms realized on an atom chip. We believe that our QZ-based approach can open a new path towards novel quantum sensing devices.
Novel concepts, perspectives and challenges in measuring and controlling an open quantum system via sequential schemes are shown. We discuss how similar protocols, relying both on repeated quantum measurements and dynamical decoupling control pulses, can allow to: (i) Confine and protect quantum dynamics from decoherence in accordance with the Zeno physics. (ii) Analytically predict the probability that a quantum system is transferred into a target quantum state by means of stochastic sequential measurements. (iii) Optimally reconstruct the spectral density of environmental noise sources by orthogonalizing in the frequency domain the filter functions driving the designed quantum-sensor. The achievement of these tasks will enhance our capability to observe and manipulate open quantum systems, thus bringing advances to quantum science and technologies.
The second quantum revolution is driving advancements in quantum computing, communication, and sensing. While quantum computing has gained significant attention in education, quantum sensing remains largely overlooked. In order to find ways of integrating sensing into existing quantum-related curricula, we performed an analysis of six of the most commonly used textbooks in modern physics, quantum mechanics, and quantum computing. We identified a set of keywords related to quantum sensing and tagged all excerpts in which these concepts appeared. For each excerpt, we also recorded the context in which it was presented within the textbook. Network maps were constructed to visualize which keywords appeared in which contexts and the frequency of these occurrences within each subject area. We then developed an analytic rubric to evaluate the conceptual and mathematical depth of these excerpts as well as the extent of sensing-related discussions. Our results show that there is significant variation in how different subjects address these concepts, both in the nature of the content covered and the depth of coverage. We also observe notable differences in how spin-first and position-first textbooks discuss these keywords, particularly in the coverage and contexts in which core concepts such as superposition and entanglement appear. Additionally, we analyzed course titles and descriptions from a database of over 8,000 quantum-related courses, focusing on those that mentioned ``sensing'' or ``sensor''. Together, these analyses of textbook content and course descriptions inform the quantum information science and engineering education community about potential opportunities to integrate quantum sensing topics into quantum-related courses in physics and adjacent disciplines.