Experimental Observation of Anomalous Complementary Weak Values from Correlated Pairwise Two-State Vectors

• URL: http://arxiv.org/abs/2607.11284v1
• Date: Mon, 13 Jul 2026 09:06:33 GMT
• Title: Experimental Observation of Anomalous Complementary Weak Values from Correlated Pairwise Two-State Vectors
• Abstract summary: Weak values (WVs) arise from weak measurements performed within a time-symmetric formulation of quantum mechanics.<n>Anomalous WVs that lie far outside the eigenvalue spectrum of the observable hold both fundamental and practical significance.<n>We utilize quantum entanglement and post-selection-controlled operations to generate correlated pairwise two-state vectors.
• Score: 5.145415821268373
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Weak values (WVs) arise from weak measurements performed within a time-symmetric formulation of quantum mechanics, where a system is both pre- and post-selected. Anomalous WVs that lie far outside the eigenvalue spectrum of the observable hold both fundamental and practical significance. However, their generation typically relies on near-orthogonal pre- and post-selection, which confines them to a single post-selection outcome with extremely low success probability. This constraint limits experimental accessibility and hinders the full exploitation of time symmetry. To overcome these limitations, we utilize quantum entanglement and post-selection-controlled operations to generate correlated pairwise two-state vectors. By changing the role of post-selection from passive filtering to active engineering, this approach enables the observation of anomalous complementary WVs associated with mutually exclusive post-selection branches. Our results extend the operational accessibility of time-symmetric quantum structures associated with the two-state vector formalism, and open new avenues for exploring the applications of time symmetry in quantum information processing.

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