Schedule
UNM Physics and Astronomy, Summer 2023 course
Quantum Internet:
- Welcome to the Quantum Internet, and to the Science of Teaching!
[Tzula] [April 27th] - Quantum Internet Overview: What is it good for and how can we build it?
[Tzula] [May 4th] - Quantum Networks and Entanglement Distribution
[Hariprasad Madathil & Robert Kramer] [May 31st] - Quantum Cryptography and Quantum Key Distribution
[Juan Gonzalez de Mendoza & Alex Fischer] [June 7th] - Blind and Distributed Quantum Computation
[Piper Wysocki & Evan Borras Blind] [June 14th] - Distributed Quantum Sensing and Hybrid Quantum Applications
[Andrew Zhao & Spencer Dimitroff] [June 16th]
Quantum Metrology:
- Mathematical Fundamentals for Parameter Estimation
[Marco] [June 28st] - Quantum Fisher Information and Adaptive Estimation Schemes
[Apollo & Mohsin] [July 12th] - Continuous Variable Quantum Parameter Estimation
[Cole Kelson-Packer & Jalan Ziyad] [July 19th] - Parameter Estimation for Non-unitary Operations
[Shravan Shravan & Ben Corbett & Cole Maurer] [July 26th] - Applications: Quantum Metrology and Quantum Sensing
[Sudhan Bhadade, Andrew Frobes & Vikas Buchemmavari] [August 2nd]
Detailed Schedule
Quantum Internet
- Welcome to the Quantum Internet, and to the Science of Teaching! [Tzula] [April 27th]
- Quantum Internet Overview: What is it good for and how can we build it? [Tzula] [May 4th]
- Quantum Networks and Entanglement Distribution [Hariprasad Madathil] [May 31st]
- Quantum Cryptography and Quantum Key Distribution [Juan Gonzalez de Mendoza & Alex Fischer] [June 7th]
- Blind and Distributed Quantum Computation [Piper Wysocki & Evan Borras Blind] [June 14th]
- Distributed Quantum Sensing and Hybrid Quantum Applications [Alex Fischer & Spencer Dimitroff] [June 16th]
The purpose of this introductory lecture is twofold. Firstly, to introduce the students to the goals of current quantum internet research activities. [1] Secondly, to introduce students to the science of teaching (and in particular, metacognition) which we will make use of as a guiding principle for learning and teaching throughout the course.
In the second lecture, we will dive a little deeper into the applications of the quantum internet: in particular, distributed quantum computation, blind quantum computation, quantum cryptography including quantum key distribution, and distributed quantum sensing [2]. Then, we will discuss the general structure of a quantum network in terms of the hardware.
This student-led talk will focus on the hardware of the quantum internet: quantum repeaters [3-5], quantum routers [6], and the software that optimizes entanglement distribution over a network [7-9].
This student led talk will introduce the students to the key concepts of qvuantum key distribution [14-17] and quantum cryptographic schemes more generally [18, 19].
This student-led talk will focus on quantum computation on the quantum grid [10] and, in particular, both the unique challenges associated with implementing quantum computing and error correction [11,12], and the unique advantages of distributed quantum computing such as blind computation [13].
This student led talk will conclude our study of the quantum internet, and is left more free-form. Students are encouraged to discuss distributed quantum sensing [20], as well as any other potential uses of the quantum internet (e.g. clock synchronization [21], voting [22]) that do not fall into the above listed categories.
Quantum Metrology:
- Mathematical Fundamentals for Parameter Estimation [Marco]
- Quantum Fisher Information and Adaptive Estimation Schemes [Apollo & Mohsin]
- Continuous Variable Quantum Parameter Estimation [Jalan Ziyad]
- Parameter Estimation for Non-unitary Operations [Shravan Shravan & Ben Corbett & Cole Maurer]
- Applications: Quantum Metrology and Quantum Sensing [Sudhan Bhadade, Andrew Frobes & Vikas Buchemmavari]
This topic covers the essential mathematical concepts and techniques used in parameter estimation, with a focus on applications in the field of quantum mechanics. Topics may include probability theory, statistical inference, and numerical optimization methods. These techniques apply for classical and quatum systems [23,24].
This topic delves into the quantum Fisher information, which is a fundamental quantity in quantum parameter estimation that quantifies the sensitivity of a quantum system to small changes in its parameters [24,26]. The course may cover the mathematical foundations of quantum Fisher information, its connection to quantum metrology, and how it can be utilized in adaptive estimation schemes to optimize measurement strategies [24,25].
This topic focuses on parameter estimation for quantum systems with continuous variable degrees of freedom, such as quantum fields with bosonic modes [26]. It may cover techniques and methods for estimating parameters that describe continuous variable systems, including strategies based on Homodyne ang Heterodyne measurements. This topic is likely to be relevant in the context of quantum optics, quantum information processing, and quantum communication [27].
This topic deals with parameter estimation for quantum operations that are not unitary. In this problem, the aim is to estimate parameters that appears in quantum channels, which may introduce noise or decoherence into a quantum system [28,29].
This topic explores applications, such as magnetic field sensing, gravitational wave detection, or precision spectroscopy, and how parameter estimation techniques are employed in these contexts [29-31].
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