[Verse 1] In Hilbert space where vectors dance unseen Complex numbers hold what might unfold Psi contains the quantum state machine Every amplitude a story told Superposition lives in mathematics Probability squared reveals the truth [Chorus] Wavefunction psi encodes it all Amplitude times conjugate gives the call Born rule transforms the complex phase Into probabilities we chase Psi star psi equals what we measure Hidden information beyond treasure [Verse 2] Schrödinger equation governs time evolution Partial derivatives track the change Hamiltonian drives the wave solution Through momentum and position range Normalization keeps the total sum at one While phases carry quantum correlation [Chorus] Wavefunction psi encodes it all Amplitude times conjugate gives the call Born rule transforms the complex phase Into probabilities we chase Psi star psi equals what we measure Hidden information beyond treasure [Bridge] Collapse occurs when observation strikes The superposition fades to single state But until then psi spreads through quantum spikes Interference patterns demonstrate That reality exists in weighted sums Before the measurement outcome comes [Verse 3] Entanglement creates joint wavefunctions Multiple particles share one psi Bell states show the strangest conjunctions Local realism cannot justify The correlations that persist through space When quantum systems interlock and embrace [Chorus] Wavefunction psi encodes it all Amplitude times conjugate gives the call Born rule transforms the complex phase Into probabilities we chase Psi star psi equals what we measure Hidden information beyond treasure [Outro] From mathematical abstraction springs The quantum world that cryptography brings Psi holds the keys to what computers fear When quantum algorithms interfere
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