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This paper offers a more sample-efficient way to compare two continuous-variable quantum states prepared on separate platforms, using only local homodyne measurements and classical communication. For Gaussian states under a bounded mean energy, the copy count scales polylogarithmically in mode number rather than exponentially, which matters for benchmarking multimode photonic devices. The gains depend on the Gaussian and energy-bound assumptions, and the reported numerical checks are limited in scope, so practical impact still needs validation on real hardware.

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Southeast University Bounds Continuous Variable Estimation Errors

Quantum ZeitgeistNovember 1, 20263 min read

For Gaussian quantum states under defined energy constraints, assessing similarity now requires [log(2M/ε)]² copies, a marked improvement over previous methods demanding ε⁻². This protocol establishes rigorous guarantees for estimating inner products using only local measurements and standard communication channels. It allows quantitative comparison of independently prepared quantum states without needing complete knowledge of their properties or joint measurement access.

Distributed inner product estimation (DIPE) is a fundamental task in quantum information, aiming to estimate the inner product between two unknown quantum states prepared on distributed quantum platforms. For multimode continuous-variable (CV) systems, the infinite-dimensional Hilbert space poses an additional challenge. A CV-DIPE protocol using only local homodyne measurements at shared phase settings and classical communication has been developed. With…

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