Structural constraint on delayed-choice quantum eraser architectures

• URL: http://arxiv.org/abs/2605.24994v1
• Date: Sun, 24 May 2026 10:46:14 GMT
• Title: Structural constraint on delayed-choice quantum eraser architectures
• Abstract summary: We show that four intuitive properties -- statistical independence of the choice, absence of losses, deterministic routing conditioned on the choice, and distinct conditional detection distributions -- cannot be simultaneously satisfied.<n>This incompatibility provides a transparent classification of DCQE schemes and clarifies how conditional interference patterns arise without invoking exotic mechanisms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Delayed-choice quantum eraser (DCQE) experiments are often presented as challenging classical causal intuitions by correlating detection events with choices implemented at later times. While it is well understood that post-selection plays a crucial role in producing the observed interference patterns, the structural features underlying such correlations are rarely analyzed within a unified framework. In this work, we introduce a simple probabilistic constraint applicable to idealized DCQE architectures. We show that four intuitive properties -- statistical independence of the choice, absence of losses, deterministic routing conditioned on the choice, and distinct conditional detection distributions -- cannot be simultaneously satisfied. This incompatibility provides a transparent classification of DCQE schemes and clarifies how conditional interference patterns arise without invoking exotic mechanisms.

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