Quantum Entanglement | Non-Separable States & Bell Inseparability
Quick Technical Answer:
Quantum entanglement is a phenomenon where composite quantum states cannot be factored into a tensor product of their individual subsystem states (|ψ⟩ ≠ |ψ_A⟩ ⊗ |ψ_B⟩), resulting in instantaneous physical correlations that defy classical local realism.
Formula / Unitary:
|\Phi^+\rangle = \frac{|00\rangle + |11\rangle}{\sqrt{2}} \ne |\psi_A\rangle \otimes |\psi_B\rangle, \quad S(\rho_A) = -\text{Tr}(\rho_A \log_2 \rho_A) = 1 \text{ e-bit}
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Frequently Asked Questions
How is entanglement quantified mathematically in Itachi Studio?
Itachi calculates the bipartition von Neumann entanglement entropy S(ρ_A) = -Tr(ρ_A log₂ ρ_A) by computing the reduced density matrix ρ_A = Tr_B(|ψ⟩⟨ψ|).