Quantum Gaussian filter for exploring ground-state properties

He, Min-Quan; Zhang, Dan-Bo; Wang, Z. D.

doi:10.1103/physreva.106.032420

Cited by 7 publications

(4 citation statements)

References 42 publications

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“…In this section, we discuss the characteristics of a quantum trial and the potential benefit over classically accessible wave functions as input to ec-CC. Within the NISQ setting, there is no shortage of methods for preparing approximate ground states. ,,,− If we consider fault-tolerance, an even wider set of methods is available. − …”

Section: Impact Of Quantum Trial States Qualitymentioning

confidence: 99%

Tailored and Externally Corrected Coupled Cluster with Quantum Inputs

Scheurer,

Anselmetti,

Oumarou

et al. 2024

J. Chem. Theory Comput.

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We propose to use wave function overlaps obtained from a quantum computer as inputs for the classical split-amplitude techniques, tailored and externally corrected coupled cluster, to achieve balanced treatment of static and dynamic correlation effects in molecular electronic structure simulations. By combining insights from statistical properties of matchgate shadows, which are used to measure quantum trial state overlaps, with classical correlation diagnostics, we can provide quantum resource estimates well into the classically no longer exactly solvable regime. We find that rather imperfect wave functions and remarkably low shot counts are sufficient to cure qualitative failures of plain coupled cluster singles doubles and to obtain chemically precise dynamic correlation energy corrections. We provide insights into which wave function preparation schemes have a chance of yielding quantum advantage, and we test our proposed method using overlaps measured on Google’s Sycamore device.

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Section: Impact Of Quantum Trial States Qualitymentioning

confidence: 99%

Tailored and Externally Corrected Coupled Cluster with Quantum Inputs

Scheurer,

Anselmetti,

Oumarou

et al. 2024

J. Chem. Theory Comput.

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“…The Sobel operator can be used in image processing, particularly because it creates an image that emphasises edges within edge detection algorithms [ 14 , 15 ]. In digital signal processing, a Gaussian filter has the property of having no overshoot to a step function input, which can minimize the rise and fall time [ 16 , 17 ]. A connected component (labeling) can be used in computer vision to detect connected regions in binary digital images, although color images and data with higher dimensionality can also be processed [ 18 , 19 ].…”

Section: Introductionmentioning

confidence: 99%

Research and Evaluation on an Optical Automatic Detection System for the Defects of the Manufactured Paper Cups

Wang

Lee

Tseng

et al. 2023

Sensors

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In this paper, the paper cups were used as the research objects, and the machine vision detection technology was combined with different image processing techniques to investigate a non-contact optical automatic detection system to identify the defects of the manufactured paper cups. The combined ring light was used as the light source, an infrared (IR) LED matrix panel was used to provide the IR light to constantly highlight the outer edges of the detected objects, and a multi-grid pixel array was used as the image sensor. The image processing techniques, including the Gaussian filter, Sobel operator, Binarization process, and connected component, were used to enhance the inspection and recognition of the defects existing in the produced paper cups. There were three different detection processes for paper cups, which were divided into internal, external, and bottom image acquisition processes. The present study demonstrated that all the detection processes could clearly detect the surface defect features of the manufactured paper cups, such as dirt, burrs, holes, and uneven thickness. Our study also revealed that the average time for the investigated Automatic Optical Detection to detect the defects on the paper cups was only 0.3 s.

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“…While preparing this paper, we came across a recent work [20] presenting the Gaus-sian filter method similar to a particular type of booster investigated in this work. They present a hybrid quantum-classical method that estimates the ground state energy but does not prepare the ground state.…”

Section: Introductionmentioning

confidence: 99%

State Preparation Boosters for Early Fault-Tolerant Quantum Computation

Wang¹,

Sim

Johnson

2022

Quantum

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Quantum computing is believed to be particularly useful for the simulation of chemistry and materials, among the various applications. In recent years, there have been significant advancements in the development of near-term quantum algorithms for quantum simulation, including VQE and many of its variants. However, for such algorithms to be useful, they need to overcome several critical barriers including the inability to prepare high-quality approximations of the ground state. Current challenges to state preparation, including barren plateaus and the high-dimensionality of the optimization landscape, make state preparation through ansatz optimization unreliable. In this work, we introduce the method of ground state boosting, which uses a limited-depth quantum circuit to reliably increase the overlap with the ground state. This circuit, which we call a booster, can be used to augment an ansatz from VQE or be used as a stand-alone state preparation method. The booster converts circuit depth into ground state overlap in a controllable manner. We numerically demonstrate the capabilities of boosters by simulating the performance of a particular type of booster, namely the Gaussian booster, for preparing the ground state of N2 molecular system. Beyond ground state preparation as a direct objective, many quantum algorithms, such as quantum phase estimation, rely on high-quality state preparation as a subroutine. Therefore, we foresee ground state boosting and similar methods as becoming essential algorithmic components as the field transitions into using early fault-tolerant quantum computers.

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Quantum Gaussian filter for exploring ground-state properties

Cited by 7 publications

References 42 publications

Tailored and Externally Corrected Coupled Cluster with Quantum Inputs

Tailored and Externally Corrected Coupled Cluster with Quantum Inputs

Research and Evaluation on an Optical Automatic Detection System for the Defects of the Manufactured Paper Cups

State Preparation Boosters for Early Fault-Tolerant Quantum Computation

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