Quantum Circuit Analysis Shows Local Weak Values Form Covariant Tensors Independent of Distant Measurements

[Submitted on 27 Jun 2026]

16h ago· 2 min readenInsight

Summary

This paper analyzes quantum circuits and presents evidence that local weak values form a covariant tensor associated with each individual qubit. These tensors do not evolve or collapse when other qubits are measured or pass through distant circuit elements, even in massively entangled states. The authors argue that weak values are subject to both past and future constraints, requiring the entire circuit to be considered "all-at-once" (similar to action principles) to avoid standard no-go theorems. The work suggests that any quantum circuit can be assigned a realistic, lower-level description compatible with classical spacetime.

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Key quotes

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Although entangled state vectors cannot be fully described in terms of variables localized in space and time, any given entanglement experiment can be built from basic quantum circuit components with well-defined locations.

Even if the state is massively entangled, these tensors do not evolve or collapse when other qubits are measured or pass through distant circuit elements.

Weak values are subject to both past and future constraints, so the covariant quantities can only be determined by considering the entire circuit 'all-at-once', as in action principles, incorporating the future measurement basis to avoid the standard no-go theorems.

Because these results hold for a set of universal quantum gates, this work lends support to the claim that any quantum circuit can be assigned a realistic, lower-level description compatible with our understanding of classical spacetime.

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Although entangled state vectors cannot be fully described in terms of variables localized in space and time, any given entanglement experiment can be built from basic quantum circuit components with well-defined locations. We analyze such quantum circuit

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