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Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems
A simple twist unlocks never-before-seen quantum behavior
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arXiv · Simon, Sophia, Berry, Dominic W., Somma, Rolando D. · Quantum science preprint
ScienceDaily · Spintronics; Chemistry; Graphene; Inorganic Chemistry; Physics; Detectors; Engineering and Construction; Materials Science
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'''Article preview.''' We present an efficient, nearly optimal quantum algorithm for solving linear matrix differential equations, with applications to the simulation of open quantum systems and beyond. For unitary or dissipative dynamics, the algorithm computes an entry of the solution matrix with query complexity $\widetilde{\mathcal{O}}(ν\mathcal{L} t/ε)$, where the constant $ν$ depends on the problem parameters, $\mathcal{L}$ involves a time integral of upper bounds on the norms of evolution operators, and $ε$ is the error. In particular, $ν\mathcal{L}$ is linear in $t$ for unitary dynamics and can be a constant for dissipative dynamics. Our result contrasts prior quantum approaches for differential equations that typically require exponential time for this problem due to the encoding in a quantum state, which can lead to exponentially small amplitudes. We demonstrate the utility of the algorithm through
'''Article preview.'''<br>
Scientists have discovered a revolutionary new method for creating quantum states by<br>
twisting materials at the M-point, revealing exotic phenomena previously out of reach.<br>
This new direction dramatically expands the moiré toolkit and may soon lead to the<br>
experimental realization of long-sought quantum spin liquids.<br>
The article is featured here because it connects current quantum research with a<br>
broader scientific or technological problem.<br>
The preview highlights the main idea while leaving the detailed evidence, figures and<br>
technical discussion to the original source.<br>
Topic area: Spintronics; Chemistry; Graphene; Inorganic Chemistry; Physics; Detectors;<br>
Engineering and Construction; Materials Science.<br>
The selected source is ScienceDaily; the full article link appears below this preview.<br>
The right-side image is selected from the same article URL when a usable article image<br>
is available.
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The arXiv record is a preprint entry; readers should consult the linked page for the current abstract, subject classification and version history.
[https://www.sciencedaily.com/releases/2025/07/250710113201.htm Read the full article at ScienceDaily ->]
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[https://arxiv.org/abs/2605.16195 Read the full article at arXiv ->]
External source: ScienceDaily. Selected external quantum article.
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External source: arXiv. Selected external quantum article.
Credits: ScienceDaily
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Latest revision as of 00:10, 21 May 2026

Open image full size

Image from or related to the featured external quantum article.

Featured external quantum article

A simple twist unlocks never-before-seen quantum behavior

ScienceDaily · Spintronics; Chemistry; Graphene; Inorganic Chemistry; Physics; Detectors; Engineering and Construction; Materials Science

Article preview.
Scientists have discovered a revolutionary new method for creating quantum states by
twisting materials at the M-point, revealing exotic phenomena previously out of reach.
This new direction dramatically expands the moiré toolkit and may soon lead to the
experimental realization of long-sought quantum spin liquids.
The article is featured here because it connects current quantum research with a
broader scientific or technological problem.
The preview highlights the main idea while leaving the detailed evidence, figures and
technical discussion to the original source.
Topic area: Spintronics; Chemistry; Graphene; Inorganic Chemistry; Physics; Detectors;
Engineering and Construction; Materials Science.
The selected source is ScienceDaily; the full article link appears below this preview.
The right-side image is selected from the same article URL when a usable article image
is available.

External source: ScienceDaily. Selected external quantum article.

Credits: ScienceDaily

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