Spin coupling is all you need: Encoding strong electron correlation in molecules on quantum computers Article Swipe
Daniel Marti-Dafcik
,
Hugh G. A. Burton
,
David P. Tew
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1103/physrevresearch.7.013191
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1103/physrevresearch.7.013191
The performance of quantum algorithms for eigenvalue problems, such as computing Hamiltonian spectra, depends strongly on the overlap of the initial wave function and the target eigenvector. In a basis of Slater determinants, the representation of energy eigenstates of systems with N strongly correlated electrons requires a number of determinants that scales exponentially with N. On classical processors, this restricts simulations to systems where N is small. Here, we show that quantum computers can efficiently simulate strongly correlated molecular systems by directly encoding the dominant entanglement structure in the form of spin-coupled initial states. This avoids resorting to expensive classical or quantum state preparation heuristics and instead exploits symmetries in the wave function. We provide quantum circuits for deterministic preparation of a family of spin eigenfunctions with (NN/2) Slater determinants with depth O(N) and O(N2) local gates. Their use as highly entangled initial states in quantum algorithms reduces the total runtime of quantum phase estimation and related fault-tolerant methods by orders of magnitude. Furthermore, we assess the application of spin-coupled wave functions as initial states for a range of heuristic quantum algorithms, namely, the variational quantum eigensolver, adiabatic state preparation, and different versions of quantum subspace diagonalization (QSD) including QSD based on real-time-evolved states. We also propose a QSD algorithm that exploits states obtained through adaptive quantum eigensolvers. For all algorithms, we demonstrate that using spin-coupled initial states drastically reduces the quantum resources required to simulate strongly correlated ground and excited states. Our work provides a crucial component for enabling scalable quantum simulation of classically challenging electronic systems.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevresearch.7.013191
- OA Status
- gold
- Cited By
- 8
- References
- 148
- Related Works
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- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W4407904560Canonical identifier for this work in OpenAlex
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https://doi.org/10.1103/physrevresearch.7.013191Digital Object Identifier
- Title
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Spin coupling is all you need: Encoding strong electron correlation in molecules on quantum computersWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-02-24Full publication date if available
- Authors
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Daniel Marti-Dafcik, Hugh G. A. Burton, David P. TewList of authors in order
- Landing page
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https://doi.org/10.1103/physrevresearch.7.013191Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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https://doi.org/10.1103/physrevresearch.7.013191Direct OA link when available
- Concepts
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Spin (aerodynamics), Coupling (piping), Physics, Encoding (memory), Correlation, Electronic correlation, Electron, Quantum, Quantum mechanics, Condensed matter physics, Computer science, Materials science, Mathematics, Artificial intelligence, Thermodynamics, Metallurgy, GeometryTop concepts (fields/topics) attached by OpenAlex
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8Total citation count in OpenAlex
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2025: 8Per-year citation counts (last 5 years)
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148Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2884025209, https://openalex.org/W2895657145, https://openalex.org/W4225262929, https://openalex.org/W2026444402, https://openalex.org/W1999089160, https://openalex.org/W2166364272, https://openalex.org/W2161685427, https://openalex.org/W2257937122, https://openalex.org/W2954369586, https://openalex.org/W2803208764, https://openalex.org/W2974445049, https://openalex.org/W3044574471, https://openalex.org/W3205120504, https://openalex.org/W3191446915, https://openalex.org/W3201794453, https://openalex.org/W4312224136, https://openalex.org/W4287112974, https://openalex.org/W4293162591, https://openalex.org/W4384561345, https://openalex.org/W4364379599, https://openalex.org/W4382022041, https://openalex.org/W4385358936, https://openalex.org/W4391275422, https://openalex.org/W2052891002, https://openalex.org/W2011984776, https://openalex.org/W2349487082, https://openalex.org/W2564229214, https://openalex.org/W3136747186, https://openalex.org/W4287307058, https://openalex.org/W4362698547, https://openalex.org/W2297918601, https://openalex.org/W3105532889, https://openalex.org/W2984279929, https://openalex.org/W3008665348, https://openalex.org/W3048017836, https://openalex.org/W3139445264, https://openalex.org/W3205549477, https://openalex.org/W3200635420, https://openalex.org/W4385255027, https://openalex.org/W4324351156, https://openalex.org/W4378087241, https://openalex.org/W4401996121, https://openalex.org/W2023789062, https://openalex.org/W2056401538, https://openalex.org/W2098614082, https://openalex.org/W1965288006, https://openalex.org/W2464791347, https://openalex.org/W2295000938, https://openalex.org/W2902431979, https://openalex.org/W4303986970, https://openalex.org/W4255404807, https://openalex.org/W2937696121, https://openalex.org/W2769838435, https://openalex.org/W3102161549, https://openalex.org/W1663839511, https://openalex.org/W2028395557, https://openalex.org/W2895777514, https://openalex.org/W4394741902, https://openalex.org/W2999629616, https://openalex.org/W4362657857, https://openalex.org/W1992106919, https://openalex.org/W2155011411, https://openalex.org/W2971899627, https://openalex.org/W3005687545, https://openalex.org/W4280614402, https://openalex.org/W1972497948, https://openalex.org/W4405187177, https://openalex.org/W2104590612, https://openalex.org/W2963652075, https://openalex.org/W2801305581, https://openalex.org/W2494686247, https://openalex.org/W2905172406, https://openalex.org/W4221005794, https://openalex.org/W2908283658, https://openalex.org/W1971689739, https://openalex.org/W2039982965, https://openalex.org/W2006596905, https://openalex.org/W4285136602, https://openalex.org/W4367179860, https://openalex.org/W2097174474, https://openalex.org/W3015289174, https://openalex.org/W3111162498, https://openalex.org/W2033958197, https://openalex.org/W2975004187, https://openalex.org/W2893185172, https://openalex.org/W3008208642, https://openalex.org/W4304782780, https://openalex.org/W3130923323, https://openalex.org/W4399855507, https://openalex.org/W3045800111, https://openalex.org/W4399304332, https://openalex.org/W2995050112, https://openalex.org/W2535738892, https://openalex.org/W2990442724, https://openalex.org/W4292996420, https://openalex.org/W4405498588, https://openalex.org/W2062465394, https://openalex.org/W2951680627, https://openalex.org/W2078486813, https://openalex.org/W2086731084, https://openalex.org/W2019692968, https://openalex.org/W2083456180, https://openalex.org/W2013807722, https://openalex.org/W1971154812, https://openalex.org/W2080448866, https://openalex.org/W2003376663, https://openalex.org/W1863908278, https://openalex.org/W1977005672, https://openalex.org/W2889126882, https://openalex.org/W3028862010, https://openalex.org/W3177342104, https://openalex.org/W2952708034, https://openalex.org/W2165985653, https://openalex.org/W1866699241, https://openalex.org/W1915167278, https://openalex.org/W3043792635, https://openalex.org/W2759506558, https://openalex.org/W4391163834, https://openalex.org/W1977658351, https://openalex.org/W4400259548, https://openalex.org/W4387769387, https://openalex.org/W3012082490, https://openalex.org/W2756519801, https://openalex.org/W3007178273, https://openalex.org/W2963212486, https://openalex.org/W3106120343, https://openalex.org/W3184837229, https://openalex.org/W3102239087, https://openalex.org/W3101703454, https://openalex.org/W2990961515, https://openalex.org/W3103438630, https://openalex.org/W3094595762, https://openalex.org/W3103494093, https://openalex.org/W3134727550, https://openalex.org/W3105229478, https://openalex.org/W3101979941, https://openalex.org/W4229024507, https://openalex.org/W1645422644, https://openalex.org/W3101824094, https://openalex.org/W2964873315, https://openalex.org/W3105218880, https://openalex.org/W3100933914, https://openalex.org/W3099828513, https://openalex.org/W3182253249, https://openalex.org/W3101890556, https://openalex.org/W4230162131, https://openalex.org/W3113113368, https://openalex.org/W3207638202 |
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