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Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems
Researchers establish new basis for quantum sensing and communication
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arXiv · Simon, Sophia, Berry, Dominic W., Somma, Rolando D. · Quantum science preprint
MIT News | Massachusetts Institute of Technology · Moe Win, MIT AeroAstro, MIT LIDS, MIT IDSS, Quantum neXus Laboratory, quantum sensing, photon-varied Gaussian states (PVGSs), quantum communications, quantum information, non-Gaussian quantum states
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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>
Researchers have established a new basis for quantum sensing and communication. Their<br>
theoretical approach for generating quantum states could be crucial for many areas,<br>
ranging from fingerprinting the magnetic field of the Earth to enhancing astrophysical<br>
research.<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: Moe Win, MIT AeroAstro, MIT LIDS, MIT IDSS, Quantum neXus Laboratory,<br>
quantum sensing, photon-varied Gaussian states (PVGSs), quantum communications,<br>
quantum information, non-Gaussian quantum states.<br>
The selected source is MIT News | Massachusetts Institute of Technology; the full<br>
article link appears below this preview.
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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://news.mit.edu/2025/researchers-establish-new-basis-quantum-sensing-communication-0313 Read the full article at MIT News | Massachusetts Institute of Technology ->]
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[https://arxiv.org/abs/2605.16195 Read the full article at arXiv ->]
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External source: arXiv. Selected external quantum article.
External source: MIT News | Massachusetts Institute of Technology. Selected external quantum article.
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Credits: arXiv · Simon, Sophia, Berry, Dominic W., Somma, Rolando D.
Credits: MIT News | Massachusetts Institute of Technology
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Revision as of 23:10, 20 May 2026

Image from or related to the featured external quantum article.

Featured external quantum article

Researchers establish new basis for quantum sensing and communication

MIT News | Massachusetts Institute of Technology · Moe Win, MIT AeroAstro, MIT LIDS, MIT IDSS, Quantum neXus Laboratory, quantum sensing, photon-varied Gaussian states (PVGSs), quantum communications, quantum information, non-Gaussian quantum states

Article preview.
Researchers have established a new basis for quantum sensing and communication. Their
theoretical approach for generating quantum states could be crucial for many areas,
ranging from fingerprinting the magnetic field of the Earth to enhancing astrophysical
research.
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: Moe Win, MIT AeroAstro, MIT LIDS, MIT IDSS, Quantum neXus Laboratory,
quantum sensing, photon-varied Gaussian states (PVGSs), quantum communications,
quantum information, non-Gaussian quantum states.
The selected source is MIT News | Massachusetts Institute of Technology; the full
article link appears below this preview.

External source: MIT News | Massachusetts Institute of Technology. Selected external quantum article.

Credits: MIT News | Massachusetts Institute of Technology