Implementing the Circuit

BAUER, Michael Edward, 2014. Legion: Programming distributed heterogeneous architectures with logical regions. Online. Stanford University. Available from: https://search.proquest.com/openview/47ca93d610a28ef1dbb46c2dcb82e1dd/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. CALDWELL, Douglas Wyche, 1998. Minimalist fault-tolerance techniques for mitigating single-event effects in non-radiation-hardened microcontrollers. Online. University of California, Los Angeles. Available from: https://search.proquest.com/openview/eb4e13b4f06060ec07b23db28d9ddc6d/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. CHEN, Chengjie, MIN, Fuhong, ZHANG, Yunzhen and BAO, Han, 2023. ReLU-type Hopfield neural network with analog hardware implementation. Chaos, Solitons & Fractals. Online. 2023. Vol. 167, p. 113068. Available from: https://www.sciencedirect.com/science/article/pii/S0960077922012474 [Accessed 4 January 2024]. CRIHALMEANU, Musat C., 2003. Adding liveness detection to the Hand Geometry Scanner. Online. West Virginia University. Available from: https://search.proquest.com/openview/85ccd0e4f13728b2e822243faabd8e84/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. GELY, Mario Florentin, 2020. Measuring and controlling radio-frequency quanta with superconducting circuits.. Online. 20 April 2020. [Accessed 4 January 2024]. In this PhD thesis, we will present the theoretical and experimental work that led to the realization of a radio-frequency circuit quantum electrodynamics system (RFcQED). In chapter 2, we provide a detailed derivation of the Hamiltonian of circuit QED formulated in the context of the Rabi model, and extract expressions for the cross-Kerr interaction. The resulting requirements for the coupling rate in RFcQED are discussed, one of them being the need to dramatically increase the coupling rate compared to typical circuit QED device. In chapter 3 we cover two experimental approaches to increasing the coupling in a circuit QED system, one making use of a high impedance resonator, the second utilizing a large coupling capacitor. In chapter 4, we combine these two approaches to implement RFcQED. Through strong dispersive coupling, we could measure individual photons in a megahertz resonator, demonstrate quantum control by cooling the resonator to the ground state or preparing Fock states, and finally observe with nanosecond resolution the re-thermalization of these states. In chapter 5 we present QuCAT or Quantum Circuit Analyzer Tool in Python, a software package that can be used for the design of circuit QED systems such as the one presented in this thesis. In chapter 6 we discuss how certain interplays between general relativity and quantum mechanics cannot be described using our current laws of physics. In particular, we show how radio-frequency mechanical oscillators are perfect candidates to perform experiments in this regime. In chapter 7 we present the prospects for coupling such mechanical oscillator to weakly anharmonic superconducting circuits such as the transmon qubit or RFcQED systems. arXiv:2004.09153 [cond-mat, physics:quant-ph] GHOLAMIPOUR, Amir Hossein, 2011. Comprehensive Multi-level Joint Optimization for Multi-mode FIR-like Structures. Online. University of California, Irvine. Available from: https://search.proquest.com/openview/9886de90d744aef62e0f6d82d6fee546/1?pq-origsite=gscholar&cbl=18750 [Accessed 4 January 2024]. HOCHSTÄTTLER, Winfried and SCHLIEP, Alexander, 2010. CATBox: an interactive course in combinatorial optimization. Online. Springer Science & Business Media. Available from: https://books.google.ch/books?hl=de&lr=&id=pmU4YDLKFX8C&oi=fnd&pg=PA1&dq=%22implementing+the+circuit%22+coloring+each+node+of+the+graph+while+traversing+it&ots=ZlYCw9lgZC&sig=6TaQ7aC4Z5KdF_D_bAm8WqlK3S8 [Accessed 4 January 2024]. KAPLAN, John Jacob, 1997. Speed-independent asynchronous sequential circuit design. Online. The University of New Mexico. Available from: https://search.proquest.com/openview/a98f58e1c76d8d4fe27af43c5d13f030/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024].

KUSYK, Janusz, SAEED, Samah M. and UYAR, Muharrem Umit, 2021. Survey on quantum circuit compilation for noisy intermediate-scale quantum computers: Artificial intelligence to heuristics. IEEE Transactions on Quantum Engineering. 2021. Vol. 2, p. 1–16. Available from: https://ieeexplore.ieee.org/abstract/document/9384317/ [Accessed 4 January 2024].

LAI, Kowen, 1997. Test synthesis of system-level circuits at behavioral and structural domains. Online. Case Western Reserve University. Available from: https://search.proquest.com/openview/fccd4a502b979213b52915b4428eb432/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. LAMMERT, Adam Crawford, 2006. Searching for Better Logic Circuits: Using Artificial Intelligence Techniques to Automate Digital Design. . Online. 2006. Available from: https://repository.lib.ncsu.edu/handle/1840.16/1825 [Accessed 4 January 2024]. MITZEL, Danny James, 1995. A study of resource reservation protocol scaling and dynamics in integrated service packet networks. Online. University of Southern California. Available from: https://search.proquest.com/openview/644d6144312e08e9272ac86869320c97/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. NELSON, Curtis Allen, 2004. Technology mapping of timed asynchronous circuits. Online. The University of Utah. Available from: https://search.proquest.com/openview/f7f4076a33407410c152cab63164e00b/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. OSHIRO, Scott Yeiichi, 2023. Lineage & Freedom: A Quantum Computational Framework for Improvisation. Online. PhD Thesis. Stanford University. Available from: https://search.proquest.com/openview/422074ad0b052c9efe8db3ec85be41d8/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. PATTERSON, Andrew, 2023. Algorithms for Near-Term and Noisy Quantum Devices. Online. PhD Thesis. UCL (University College London). Available from: https://discovery.ucl.ac.uk/id/eprint/10171733/ [Accessed 4 January 2024]. RAMAN, Srilata, 1994. Timing-constrained layout algorithms for symmetrical field-programmable gate arrays. Online. University of Illinois at Urbana-Champaign. Available from: https://search.proquest.com/openview/0c2f7f4ca8365652afa61e7b937b22bc/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. REEVES, Douglas Stephen, 1987. Verifying the functional correctness of digital MOS circuits. Online. The Pennsylvania State University. Available from: https://search.proquest.com/openview/0cc1aaccbe20c1f8067dd87d5b652297/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024]. ROSENBACH, Leonardo Iri Nicola Cristofari, 2011. Domino logic library design and logic synthesis. . Online. 2011. Available from: https://www.lume.ufrgs.br/handle/10183/31053 [Accessed 4 January 2024]. SIEGEL, Polly Sara Kay, 1995. Automatic technology mapping for asynchronous designs. Online. Stanford University. Available from: https://search.proquest.com/openview/5e8d0ecb2cb743066f01b465d6e813fa/1?pq-origsite=gscholar&cbl=18750&diss=y [Accessed 4 January 2024].

STERPONE, Luca, 2008. Electronics system design techniques for safety critical applications. Online. Springer Science & Business Media. Available from: https://books.google.ch/books?hl=de&lr=&id=pgza1EsQWB0C&oi=fnd&pg=PR12&dq=%22implementing+the+circuit%22+coloring+each+node+of+the+graph+while+traversing+it&ots=m1g5519kdd&sig=PUHj7vVw5QSsXwD2j5rLLRCsCHk [Accessed 4 January 2024]. STERPONE, Luca, 2013. SEL-UP: A CAD tool for the sensitivity analysis of radiation-induced Single Event Latch-Up. Microelectronics Reliability. Online. 2013. Vol. 53, no. 9–11, p. 1311–1314. Available from: https://www.sciencedirect.com/science/article/pii/S0026271413002801 [Accessed 4 January 2024]. STERPONE, Luca and VIOLANTE, Massimo, 2005. A new analytical approach to estimate the effects of SEUs in TMR architectures implemented through SRAM-based FPGAs. IEEE Transactions on Nuclear Science. Online. 2005. Vol. 52, no. 6, p. 2217–2223. Available from: https://ieeexplore.ieee.org/abstract/document/1589186/ [Accessed 4 January 2024].

VAN SANTEN, Victor M., DIEP, Fu Lam Florian, HENKEL, Jorg and AMROUCH, Hussam, 2020. Massively parallel circuit setup in GPU-SPICE. IEEE Transactions on Computers. Online. 2020. Available from: https://ieeexplore.ieee.org/abstract/document/9229506/ [Accessed 4 January 2024]. WEI, Lei, 2020. Garbage & Recycle Automated Disposal (GRAD). . Online. 2020. Available from: https://www.ece.ucf.edu/seniordesign/su2020fa2020/g16/documents/sd2_document.pdf [Accessed 4 January 2024].