Quantum
On the estimation of linear-optical amplitudes and probabilities with entangled input state
Publication: quant-ph updates on arXiv.org
Author: Jean Senellart, Pierre-Emmanuel Emeriau
Source published: 10/11/2026, 05:00:00 UTC
Briefing created: 10/11/2026, 10:13:54 UTC
Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 10/11/2026, 08:43:25 UTC.
Briefings
A new arXiv preprint (2611.10500) proposes an unbiased estimator for linear-optical amplitudes and probabilities using entangled inputs. The study establishes that for matrix-product states with bond dimension chi, the mean-square error after N shots is bounded by the inverse of N, regardless of the interferometer type. The main application involves estimating photon emission probabilities from quantum emitters, where chi scales with the memory size of the source. The paper provides computational complexity bounds and memory requirements for these estimators.
Key points
- The study proposes an unbiased estimator for linear-optical amplitudes and probabilities using entangled inputs.
- For matrix-product states with bond dimension chi, the mean-square error after N shots is bounded by the inverse of N, regardless of the interferometer type.
Context
This research addresses whether entangled inputs change the classical estimation picture for boson samplers, which typically rely on finite-shot estimates of output probabilities. The findings are critical for quantum information processing involving quantum emitters and photonic cluster states.
Limitations
The evidence is limited to the theoretical analysis of matrix-product states and computational complexity. It does not provide experimental data, nor does it specify the physical implementation details of the quantum emitters or the specific interferometer configurations used in the proposed applications.
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