Solar energy paper index

Optimal tomography of bosonic and fermionic Gaussian states

2026-07-13 · arXiv: 2607.11847

One-line summary

A solar energy research paper on Optimal tomography of bosonic and fermionic Gaussian states.

Engineering notes

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Chinese explanation / 中文解读

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Original abstract

The sample complexity is the minimum number of copies required to learn an accurate classical description of a quantum state. Bosonic and fermionic Gaussian quantum states are families of quantum states that play a key role in quantum science and technology, from quantum optics and many-body physics to quantum chemistry, quantum computing, and quantum information theory. Despite their importance, their sample complexity had not been fully determined. We settle this open problem and show that both bosonic and fermionic Gaussian states can be learned using a number of copies that scales quadratically in the number of modes, regardless of whether the state is pure or mixed, and independently of any energy bound on the state. We derive these results by using the representation theory of Gaussian unitaries and by putting forth a generalization of the random purification channel to this setting and beyond.

5.0Engineering value
7.0Research novelty
4.0Business relevance

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