Nonseparability as Time-Averaged Dynamic States

Abstract

Nonseparability - multipartite states that cannot be factorized - is one of the most striking features of quantum mechanics, as it gives rise to entanglement and non-causal correlations. In quantum computing, it also contributes directly to the computational advantage of quantum computers over its digital counterparts. In this work, we introduce a simple mechanism that frames nonseparability as a time-averaged manifestation of an underlying oscillatory process within state space. The central idea is the inclusion of auxiliary angular frequencies that modulate the temporal evolution of composite states. These additional dynamical degrees of freedom act as coherence channels through which nonseparability is mediated. While the proposed formalism could eventually serve as an alternative theoretical handle on the mechanisms of quantum entanglement, its greater significance lies in opening practical routes for simulating multipartite entanglement in controlled classical wave systems.

Figures (1)

• Figure 1: Unraveling the two qubit Bell-state using quantum entanglement channels $\Omega_0$ and $\Omega_1$. (a) Spectral content of the dynamic coefficients corresponding to each qubit, $a^{(1,2)}(t)$ and $b^{(1,2)}(t)$. The blue and purple colors highlight the complex conjugate relations between $a^{(1,2)}(t)$ and $b^{(1,2)}(t)$ respectively through which nonseparability is mediated. (b) Resulting dynamic bipartite coefficients: $\alpha_{00}(t) = a^{(1)}(t)a^{(2)}(t)$, $\alpha_{01}(t) = a^{(1)}(t)b^{(2)}(t)$, $\alpha_{10}(t) = b^{(1)}(t)a^{(2)}(t)$ and $\alpha_{11}(t) = b^{(1)}(t)^{(2)}(t)$.