Search Results - "Wiebe, Nathan"
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Key questions for the quantum machine learner to ask themselves
Published in New journal of physics (01-09-2020)“…Within the last several years quantum machine learning (QML) has begun to mature; however, many open questions remain. Rather than review open questions, in…”
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Elucidating reaction mechanisms on quantum computers
Published in Proceedings of the National Academy of Sciences - PNAS (18-07-2017)“…With rapid recent advances in quantum technology, we are close to the threshold of quantum devices whose computational powers can exceed those of classical…”
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Entanglement-Induced Barren Plateaus
Published in PRX quantum (25-10-2021)“…We argue that an excess in entanglement between the visible and hidden units in a quantum neural network can hinder learning. In particular, we show that…”
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Theory of Trotter Error with Commutator Scaling
Published in Physical review. X (01-02-2021)“…The Lie-Trotter formula, together with its higher-order generalizations, provides a direct approach to decomposing the exponential of a sum of operators…”
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Quantum Algorithms for Simulating the Lattice Schwinger Model
Published in Quantum (Vienna, Austria) (10-08-2020)“…The Schwinger model (quantum electrodynamics in 1+1 dimensions) is a testbed for the study of quantum gauge field theories. We give scalable, explicit digital…”
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Low-Depth Quantum Simulation of Materials
Published in Physical review. X (21-03-2018)“…Quantum simulation of the electronic structure problem is one of the most researched applications of quantum computing. The majority of quantum algorithms for…”
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Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
Published in Physical review. X (01-10-2018)“…We construct quantum circuits that exactly encode the spectra of correlated electron models up to errors from rotation synthesis. By invoking these circuits as…”
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Hamiltonian learning and certification using quantum resources
Published in Physical review letters (16-05-2014)“…In recent years quantum simulation has made great strides, culminating in experiments that existing supercomputers cannot easily simulate. Although this raises…”
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Nearly Optimal Quantum Algorithm for Estimating Multiple Expectation Values
Published in Physical review letters (09-12-2022)“…Many quantum algorithms involve the evaluation of expectation values. Optimal strategies for estimating a single expectation value are known, requiring a…”
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Fault-Tolerant Quantum Simulations of Chemistry in First Quantization
Published in PRX quantum (11-11-2021)“…Quantum simulations of chemistry in first quantization offer some important advantages over approaches in second quantization including faster convergence to…”
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Robust online Hamiltonian learning
Published in New journal of physics (03-10-2012)“…In this work we combine two distinct machine learning methodologies, sequential Monte Carlo and Bayesian experimental design, and apply them to the problem of…”
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Efficient simulation scheme for a class of quantum optics experiments with non-negative Wigner representation
Published in New journal of physics (17-01-2013)“…We provide a scheme for efficient simulation of a broad class of quantum optics experiments. Our efficient simulation extends the continuous variable…”
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Even More Efficient Quantum Computations of Chemistry Through Tensor Hypercontraction
Published in PRX quantum (01-07-2021)“…We describe quantum circuits with only O[over ~](N) Toffoli complexity that block encode the spectra of quantum chemistry Hamiltonians in a basis of N…”
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Efficient and noise resilient measurements for quantum chemistry on near-term quantum computers
Published in npj quantum information (05-02-2021)“…Variational algorithms are a promising paradigm for utilizing near-term quantum devices for modeling electronic states of molecular systems. However, previous…”
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Hybridized Methods for Quantum Simulation in the Interaction Picture
Published in Quantum (Vienna, Austria) (17-08-2022)“…Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal. In particular,…”
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On the power of coherently controlled quantum adiabatic evolutions
Published in New journal of physics (15-12-2014)“…We provide a new approach to adiabatic state preparation that uses coherent control and measurement to average different adiabatic evolutions in ways that…”
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Composite Quantum Simulations
Published in Quantum (Vienna, Austria) (14-11-2023)“…In this paper we provide a framework for combining multiple quantum simulation methods, such as Trotter-Suzuki formulas and QDrift into a single Composite…”
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Floating point representations in quantum circuit synthesis
Published in New journal of physics (27-09-2013)“…We provide a non-deterministic quantum protocol that approximates the single qubit rotations Rx(2φ21φ22) using Rx(2φ1) and Rx(2φ2) and a constant number of…”
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Hardening quantum machine learning against adversaries
Published in New journal of physics (21-12-2018)“…Security of machine learning has begun to become a serious issue for present day applications. An important question remaining is whether emerging quantum…”
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Structured filtering
Published in New journal of physics (16-08-2017)“…A major challenge facing existing sequential Monte Carlo methods for parameter estimation in physics stems from the inability of existing approaches to…”
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