Quantum Superposition | Hilbert Space State Vectors & Interference
Quick Technical Answer:
Quantum superposition is the fundamental principle stating that a quantum system can exist simultaneously in a linear combination of multiple orthogonal basis states, represented as |ψ⟩ = α|0⟩ + β|1⟩ where |α|² + |β|² = 1.
Formula / Unitary:
|\psi\rangle = \sum_{i=0}^{2^n-1} c_i |i\rangle, \quad \sum_{i=0}^{2^n-1} |c_i|^2 = 1, \quad c_i \in \mathbb{C}
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Frequently Asked Questions
How is quantum superposition different from classical probability?
Unlike classical probabilities (which are non-negative real numbers that simply add), quantum amplitudes are complex numbers that can interfere constructively (adding) or destructively (canceling out).