Quantum-like modeling has already successfully described decision-making paradoxes and cognitive effects, but a gap remains between the classical oscillatory dynamics of neural networks and the quantum formalism. Alongside this work, studies link quantum algorithms to neurobiology, from quantum data centers to hybrid intelligence. This article takes a step toward filling the gap by using the theory of classical random fields to derive quantum structures from neurophysiology.
The authors start by representing neural circuit activity as random complex oscillations. After normalization, the covariance matrix of these oscillations becomes a density matrix, a quantum state. They then introduce two notions of entanglement: entanglement of observables, arising from algebras of commuting operators, and entanglement of states, which requires a tensor product of spaces. For the latter, they propose a construction of a composite network where pairs of circuits form new circuits with new communication channels.
They show that quantum-like states and observables naturally emerge from classical neural network oscillations. They introduce the concept of "mental entanglement" as a mathematical description of nonlocal correlations between observations of activated circuits. A key difference from classical correlations is the presence of incompatible observables that cannot be measured simultaneously. They propose two ways to generate entanglement: through observables and through composite networks, with the latter requiring new communication channels, such as ephaptic coupling via electric fields.
This work differs from neighboring studies in that it does not simply apply the quantum formalism to the brain but derives it from classical neurophysiology via random field theory. This provides a theoretical foundation for quantum-like EEG-based diagnostics, which are already used in depression and epilepsy but without a rigorous basis. Mental entanglement could become a basis for explaining feature binding in consciousness.
The topic could develop toward experimental testing of mental entanglement using EEG/MEG and functional connectivity methods. Investigating ephaptic coupling as a mechanism for generating entangled states is also promising. It is possible that the brain uses quantum-inspired algorithms, and understanding mental entanglement could open the way to new computational architectures.
It will impact cognitive neuroscience by providing a new mathematical language for describing integrative processes, and medical diagnostics by justifying quantum-like methods of EEG analysis.
Develop specific EEG/MEG protocols to test the nonseparability of states and investigate ephaptic coupling in generating entanglement.
The article directly addresses the binding problem, how the brain combines disparate features into a unified experience. Mental entanglement offers a formal mechanism for this, which may shed light on the hard problem of consciousness.
This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.
What the work does
The authors derive quantum-like states from classical random fluctuations in neural networks by using the covariance matrix as a density matrix, and they introduce the notion of mental entanglement with two pathways for its generation.
Where its strength is
The strength of this work is that it does not merely apply quantum formalism to the brain; it derives it from neurophysiology via random field theory, providing a theoretical foundation for quantum-like models and experiments.
Where it could go next
Worth trying
Why this may matter
If mental entanglement is experimentally confirmed, it could provide a rigorous mathematical language for describing nonlocal correlations in the brain, including feature binding in consciousness, and justify quantum-like diagnostics of mental states.
Nearby works in our archive
The archive is sparse around this work: the closest review is only 0.56, against a usual 0.64. It looks like few have drilled nearby.
Ephaptic coupling is a way for neurons to communicate without synapses, through electric fields, like a wireless network inside the brain.
The idea of quantum effects in the brain echoes Greg Egan's novel "Quarantine," where observers collapse the wave function, but here we are talking about classical networks generating quantum-like states.