Authors: Masataka Ohta
Consider a four-dimensional Hilbert space H over C in which quantum states consisting of two binary quantum states are represented as |00> = (1, 0, 1, 0), |01> = (1, 0, 0, 1), |10> = (0, 1, 1, 0) and |11> = (0, 1, 0, 1). Then, |00> + |11> = |01> + |10> = (1, 1, 1, 1), which is a quantum mechanical proof that there is no such thing as quantum entanglement.
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