arXiv:2510.05531v2 Announce Type: replace-cross Abstract: Bosonic Gaussian unitaries are fundamental building blocks of central continuous-variable quantum technologies such as quantum-optic interferometry and bosonic error-correction schemes. In this work, we present the first time-efficient algorithm for learning bosonic Gaussian unitaries with a rigorous analysis. Our algorithm produces an estimate of the unknown unitary that is accurate to small worst-case error, measured by the physically motivated energy-constrained diamond distance. Its runtime and query complexity scale polynomially wi
This research addresses a fundamental challenge in quantum computing by providing an efficient algorithm for learning bosonic Gaussian unitaries, which are critical components for quantum technologies, suggesting a maturation in theoretical quantum algorithm development.
This development is crucial for advancing continuous-variable quantum technologies, potentially accelerating the development of quantum computers and quantum communication systems by making their core components more tractable to implement and understand.
The prior difficulty in efficiently learning these fundamental quantum unitaries is now mitigated, enabling more practical and rigorous design, analysis, and implementation of quantum-optic interferometry and bosonic error-correction schemes.
- · Quantum computing researchers
- · Quantum hardware developers
- · Quantum software developers
- · Quantum communication companies
More robust and efficient designs for continuous-variable quantum circuits and optical quantum systems become feasible.
Accelerated progress in quantum computing and quantum-enhanced sensing could yield breakthroughs in currently intractable problems.
The enhanced practicality of bosonic quantum systems could lead to new avenues for quantum information processing, potentially impacting areas like secure communication and advanced simulation.
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