Consider two proper quantum systems S 1 and S 2 with ► Hilbert spaces H 1 and H 2, respectively. If S 1 and S 2 are independently prepared in the pure states φ1 ∊ H 1 and φ2 ∊ H 2, then the compound system S 1 + S 2 is correctly described in the tensor-product Hilbert space H 1 ⊗ H 2 by the product state ψ0 = φ1⊗ φ2. In this case, the state ψ 0(S 1 + S 2) determines uniquely the states φ1 and φ2 of subsystems S 1 and S 2, respectively.
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J. Von Neumann: Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932, 231–232)
J. M. Jauch: Foundations of Quantum Mechanics (Addison-Wesley, Reading, MA, 1968, 179–182)
‘Entanglement’ is the English translation of the German word “Verschränkung”, first introduced by E. Schrödinger: Die gegenwärtige Situation in der Quantenmechanik. Die Naturwis-senschaften 23, 807–49 (1935)
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Mittelstaedt, P. (2009). Entanglement. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_64
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DOI: https://doi.org/10.1007/978-3-540-70626-7_64
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