Measuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computer

Abstract Quantifying correlation and entanglement between molecular orbitals can elucidate the role of quantum effects in strongly correlated reaction processes. However, accurately storing the wavefunction for a classical computation of those quantities can be prohibitive. Here we use the Quantinuu...

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Main Authors: Gabriel Greene-Diniz, Chris N. Self, Michal Krompiec, Luuk Coopmans, Marcello Benedetti, David Muñoz Ramo, Matthias Rosenkranz
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-04365-x
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author Gabriel Greene-Diniz
Chris N. Self
Michal Krompiec
Luuk Coopmans
Marcello Benedetti
David Muñoz Ramo
Matthias Rosenkranz
author_facet Gabriel Greene-Diniz
Chris N. Self
Michal Krompiec
Luuk Coopmans
Marcello Benedetti
David Muñoz Ramo
Matthias Rosenkranz
author_sort Gabriel Greene-Diniz
collection DOAJ
description Abstract Quantifying correlation and entanglement between molecular orbitals can elucidate the role of quantum effects in strongly correlated reaction processes. However, accurately storing the wavefunction for a classical computation of those quantities can be prohibitive. Here we use the Quantinuum H1-1 trapped-ion quantum computer to calculate von Neumann entropies which quantify the orbital correlation and entanglement in a strongly correlated molecular system relevant to lithium-ion batteries (vinylene carbonate interacting with an O2 molecule). As shown in previous works, fermionic superselection rules decrease correlations and reduce measurement overheads for constructing orbital reduced density matrices. Taking into account superselection rules we further reduce the number of measurements by finding commuting sets of Pauli operators. Using low overhead noise reduction techniques, we calculate von Neumann entropies in excellent agreement with noiseless benchmarks, indicating that correlations and entanglement between molecular orbitals can be accurately estimated from a quantum computation. Our results show that the one-orbital entanglement vanishes unless opposite-spin open shell configurations are present in the wavefunction.
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spelling doaj-art-bf148b7fecde42e89495210c2a841c7b2025-08-20T03:46:01ZengNature PortfolioScientific Reports2045-23222025-08-0115111710.1038/s41598-025-04365-xMeasuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computerGabriel Greene-Diniz0Chris N. Self1Michal Krompiec2Luuk Coopmans3Marcello Benedetti4David Muñoz Ramo5Matthias Rosenkranz6Quantinuum, Terrington HouseQuantinuum, Partnership HouseQuantinuum, Terrington HouseQuantinuum, Partnership HouseQuantinuum, Partnership HouseQuantinuum, Terrington HouseQuantinuum, Partnership HouseAbstract Quantifying correlation and entanglement between molecular orbitals can elucidate the role of quantum effects in strongly correlated reaction processes. However, accurately storing the wavefunction for a classical computation of those quantities can be prohibitive. Here we use the Quantinuum H1-1 trapped-ion quantum computer to calculate von Neumann entropies which quantify the orbital correlation and entanglement in a strongly correlated molecular system relevant to lithium-ion batteries (vinylene carbonate interacting with an O2 molecule). As shown in previous works, fermionic superselection rules decrease correlations and reduce measurement overheads for constructing orbital reduced density matrices. Taking into account superselection rules we further reduce the number of measurements by finding commuting sets of Pauli operators. Using low overhead noise reduction techniques, we calculate von Neumann entropies in excellent agreement with noiseless benchmarks, indicating that correlations and entanglement between molecular orbitals can be accurately estimated from a quantum computation. Our results show that the one-orbital entanglement vanishes unless opposite-spin open shell configurations are present in the wavefunction.https://doi.org/10.1038/s41598-025-04365-x
spellingShingle Gabriel Greene-Diniz
Chris N. Self
Michal Krompiec
Luuk Coopmans
Marcello Benedetti
David Muñoz Ramo
Matthias Rosenkranz
Measuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computer
Scientific Reports
title Measuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computer
title_full Measuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computer
title_fullStr Measuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computer
title_full_unstemmed Measuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computer
title_short Measuring correlation and entanglement between molecular orbitals on a trapped-ion quantum computer
title_sort measuring correlation and entanglement between molecular orbitals on a trapped ion quantum computer
url https://doi.org/10.1038/s41598-025-04365-x
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