23 papers · ranked by Valyu relevance
Sofiene Jerbi, Lukas J. Fiderer, Hendrik Poulsen Nautrup, Jonas M. Kübler + 2 more
'Jonas M. Kübler' 'Hans J. Briegel' 'Vedran Dunjko'] Machine learning algorithms based on parametrized quantum circuits are prime candidates for near-term applications on noisy quantum computers. In this direction, various types of quantum machine learning models have been introduced and studied extensively. Yet, our…
Guofeng Zhang, Zhiyuan Dong
The purpose of this tutorial is to give a brief introduction to linear quantum control systems. The mathematical model of linear quantum control systems is presented first, then some fundamental control-theoretic notions such as stability, controllability and observability are given, which are closely related to…
Sofiene Jerbi, Casper Gyurik, Simon C. Marshall, Riccardo Molteni + 1 more
'Vedran Dunjko'] Quantum machine learning is often highlighted as one of the most promising practical applications for which quantum computers could provide a computational advantage. However, a major obstacle to the widespread use of quantum machine learning models in practice is that these models, even once trained…
Guangjian Wu, Shibei Xue, G. F. Zhang, Ian R. Petersen
—In this paper, an H2 norm-based model reduction method for linear quantum systems is presented, which can obtain a physically realizable model with a reduced order for closely approximating the original system. The model reduction problem is described as an optimization problem, whose objective is taken as an H2 norm…
George Ellis
Is there a single linearly evolving Wave Function of the Universe that is able to lead to all the nonlinearities we see around us? This proposal seems a priori highly implausible. I claim that instead, in the real Universe, generically only local wave functions exist. Non-local wave functions occur for carefully…
Lotte Mertens, Jasper van Wezel, Andrei Khrennikov, Francesco Buscemi
'Francesco Buscemi'] The argument of environment-assisted invariance (known as envariance) implying Born’s rule is widely used in models for quantum measurement to reason that they must yield the correct statistics, specifically for linear models. However, it has recently been shown that linear collapse models can…
Eric Koessler, Arkajit Mandal, Pengfei Huo
We derive the L-MFE method to incorporate Lindblad jump operator dynamics into the mean-field Ehrenfest (MFE) approach. We map the density matrix evolution of Lindblad dynamics onto pure state coefficients using trajectory averages. We use simple assumptions to construct the L-MFE method that satisfies this exact…
Karl‐Erik Eriksson
Quantum diffusion, as developed in the 1990s, could explain how a system, subject to measurement, goes into an eigenstate of the measured observable. Here it is shown that quantum diffusion theory can be interpreted as a result within linear relativistic quantum mechanics. Thus, in contrast to what is widely believed…
Authors not listed
Model Hamiltonians represent a convenient way of reducing complex problems of many-electron quantum mechanics to much simpler problems: they can fully reproduce the core behaviors of a system of interest by encoding only the dominant physical interactions and using only a small number of associated parameters. Model…
Jürg Fröhlich, Alessandro Pizzo
It is argued that the Schrödinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated physical systems featuring events. A general statistical law replacing unitary Schrödinger evolution of states is then formulated within the so-called ETH-Approach to Quantum…
Angelo Bassi, Mauro Dorato, Hendrik Ulbricht, Federico Holik + 2 more
'Gustavo Martín Bosyk' 'Ana Majtey'] In this paper, we review and connect the three essential conditions needed by the collapse model to achieve a complete and exact formulation, namely the theoretical, the experimental, and the ontological ones. These features correspond to the three parts of the paper. In any…
Ming Li, Wenjun Wang, Xiaoyu Zhang, Jing Wang + 3 more
'Shuqian Shen' 'Vladimir I. Manko'] Concurrence is a crucial entanglement measure in quantum theory used to describe the degree of entanglement between two or more qubits. Local unitary (LU) invariants can be employed to describe the relevant properties of quantum states. Compared to quantum state tomography, observing…
Hansson, Johan
I. The arena of quantum mechanics and quantum field theory is the abstract, unobserved and unobservable, M-dimensional formal Hilbert space 6= spacetime. II. The arena of observations and, more generally, of all events (i.e. everything) in the real physical world, is the classical 4-dimensional physical spacetime. III.…
Don Roosan, Samira Samrose, Rubayat Khan, Saif Nirzhor + 1 more
Predicting protein–ligand binding affinity is a fundamental challenge in computational biology and drug discovery, complicated by diverse factors including protein sequence variability, ligand chemical diversity, and structural resolution. Here, we present an integrative study that combines classical machine learning…
Michael Taylor, Arkajit Mandal, Pengfei Huo
Recent progress in enabling new chemical reactivities by strongly coupling molecular systems to quantized radiation has stimulated theoretical developments in molecular quantum electrodynamics As this field of cavity quantum electrodynamics (cQED) is highly interdisciplinary drawing from both quantum optics and…
Purva Tijare, Naman Kumar Mehta, Gajendra P. S. Raghava
Over the past decade, quantum machine learning, particularly quantum support vector machines (QSVMs), has emerged as an optimistic alternative to classical machine learning (CML) techniques. This study rigorously benchmarks the performance of QSVM and CML-based models across four diverse datasets relevant to…
Authors not listed
This article is the second in a two-part tutorial review on electronic spin-dependent dynamics. In Part I, we presented the fundamental theory within the adiabatic Born– Huang framework that describes the interaction between nuclear motion and the elec- tronic (spin and spatial) degrees of freedom. In particular, we…
David Thompson, Johan Gielis
Our understanding of quantum phenomena often begins with simple particle-in-a-box style problems, the solutions of which introduce the student to foundational quantum concepts such as degeneracy and quantization. Simple model geometries of confinement afford analytic solutions, which are readily derivable, easily…
Elizabeth A Stoll
In cortical neurons, spontaneous membrane potential fluctuations affect the likelihood of firing an action potential. Yet despite retaining sensitivity to random electrical noise in gating signaling outcomes, these cells achieve highly accurate computations with extraordinary energy efficiency. A new approach models…
Gene Hunt, Wilmer Martinez Rivera, Melanie Hopkins, John Fricks + 1 more
Linear state space models provide a useful framework for investigating phenotypic evolution in fossil lineages in a wide variety of models including Brownian motion, Ornstein-Uhlenbeck processes, and models that incorporate potentially explanatory environmental covariates. A state space framework also provides access…
Amirhosein Sotoodehfar, Rishabh, Hadi Zadeh-Haghighi, Christoph Simon
Recent studies in vitro and in vivo suggest that flavin adenine dinucleotide (FAD) on its own might be able to act as a biological magnetic field sensor. Motivated by these observations, in this study, we develop a detailed quantum theoretical model for the radical pair mechanism (RPM) for the flavin adenine biradical…
Ashar Malik, David Ascher
Algorithms grounded in quantum principles need to demonstrate they are at least as expressive as established classical methods before any hardware advantage can be sought. Here we demonstrate that a quantum-inspired kernel reaches the same accuracy and Matthews correlation coefficient as carefully tuned radial basis…
Authors not listed
Most advances in electronic spin-dependent non-adiabatic dynamics focus on refining the underlying dynamics methods. In contrast, this work considers an improved description of spin-orbit coupling by explicitly accounting for its relativistic origins. To this end, we extend a standard one-electron triatomic…