Advances in Quantum Electronics, Volume 3

Harry R. Lewis

Athena Caesura, Cristian L. Cortes, William Pol +8 more

Electronic structure calculations of molecular systems are among the most promising applications for fault-tolerant quantum computing (FTQC) in quantum chemistry and drug design. However, while recent algorithmic advancements such as qubitization and tensor hypercontraction (THC) have significantly reduced the complexity of such calculations, they do not yet achieve computational runtimes short enough to be practical for industrially relevant use cases. In this work, we combine several advances to electronic structure calculation for molecular systems, resulting in a 2-orders-of-magnitude speedup of estimated runtimes over prior-art algorithms run on comparable quantum devices. One of these advances is a novel framework for block-invariant symmetry-shifted tensor hypercontraction, with which we achieve the tightest Hamiltonian factorizations reported to date. We compile our algorithm for an active volume (AV) architecture, a technical layout that has recently been proposed for fusion-based photonic quantum hardware. AV compilation contributes towards a lower runtime of our computation by eliminating overheads stemming from connectivity issues in the underlying surface code. We present a detailed benchmark of our approach, focusing primarily on the computationally challenging benchmark molecule P450. Leveraging a number of hardware trade-offs in interleaving-based photonic FTQC, we estimate runtimes for the electronic structure calculation of P450 as a function of the device footprint.

L. Allen

Syed Muntasir Mamun

This second volume systematically dissects advanced computational paradigms in quantum photonic computation, shifting the field from theoretical proofs-of-concept to complex, integrated hardware architectures. The work explores fundamental breakthroughs in scaling associative memory, including using multiphoton quantum interference to realize higher-order generalized Hopfield networks and exploiting driven-dissipative cavity quantum electrodynamics with atomic motion to achieve dynamic synaptic plasticity and surpass the theoretical Hopfield capacity limit. To address commercial viability, the volume analyzes the implementation of defect resilience through non-Abelian topological phenomena on photonic integrated circuits (PICs), as well as the development of quantum-limited stochastic optical neural networks that use intrinsic noise as regularization to achieve extreme energy efficiency. Furthermore, it details the heterogeneous integration of electronic-photonic hybrid accelerators (e.g., ADEPT and MIRAGE) for foundry-scale deployment. Finally, the volume investigates deployment in complex, Advanced Paradigms in Quantum Photonic Computation: Comprehensive Architectures, Topological Resilience, and Real-World Applications (Volume II) real-world applications, such as solving NP-hard combinatorial optimization problems in supply chain logistics and pioneering non-pharmacological neuro-lymphaphotonic interventions for Alzheimer's disease. Also available on Academia.edu: https://www.academia.edu/attachments/132159735/download_file?s=portfolio

M. Watt, Clivia Marfa Sotomayor Torres, Rebecca Cheung +3 more

M. Eugene Rudd

The subjects of atomic, molecular and solid-state physics have only rarely been treated at an advanced level in a single volume. The notable exception, of course, is John C. Slater’s Quantum Theory of Matter. In the present book the three authors, Michael Morrison, Thomas Estle and Neal Lane, stress the unity among these fields by ernphasizing the concept of electronic quantum states in atoms, diatomic molecules and crystalline solids. Such a combination should be of basic interest to students in a variety of scientific fields and also form the basis for more advanced work in those three subjects themselves. This is a textbook of applied quantum mechanics directed to advanced undergraduate and graduate students in physics, chemistry and engineering; the authors assume a previous introduction to quantum mechanics.