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Photonic Quantum Computing

Compressing Quantum Fisher Information

arXiv
Authors: Rui Jie Tang, Jeremy Guenza Marcus, Noah Lupu-Gladstein, Arthur O. T. Pang, C. Pria Dobney, Giulio Chiribella, Aephraim M. Steinberg, Y. Batuhan Yilmaz

Year

2026

Paper ID

199

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

We show that the quantum Fisher information about any phase parameter encoded in a family of pure quantum states can be faithfully compressed into a single qubit, accompanied by a logarithmic amount of classical bits. When the phase is encoded into many identical copies of a qubit state on the equator of the Bloch sphere, we show that the compression can be implemented sequentially, by iteratively compressing pairs of qubits into a single qubit. We experimentally demonstrate this building block in a photonic setup, developing two alternative compression strategies, based on Type-I fusion gate and a postselected implementation of the CNOT gate.

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  • We show that the quantum Fisher information about any phase parameter encoded in a family of pure quantum states can be faithfully compressed into a single qubit, accompanied...

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