Quantum Nonlocality without Entanglement

Quantum Nonlocality without Entanglement

November 26, 1998 | Charles H. Bennett, David P. DiVincenzo, Christopher A. Fuchs, Tal Mor, Eric Rains, Peter W. Shor, John A. Smolin, and William K. Wootters
Quantum nonlocality without entanglement is demonstrated through sets of orthogonal, unentangled states that cannot be reliably distinguished by local operations and classical communication. The paper shows that even though these states are orthogonal, they cannot be distinguished by local measurements, indicating a form of nonlocality not based on entanglement. This nonlocality arises because the states are not orthogonal when viewed by individual observers, and thus cannot be reliably distinguished by any sequence of local measurements. The paper also discusses the implications of this result for quantum information processing, including entanglement purification and quantum key distribution. The analysis includes a detailed example of a 3x3 system where nine orthogonal states cannot be distinguished by local measurements, even with classical communication. The paper also explores the thermodynamics of local state measurement and the information-theoretic analysis of the mutual information obtainable by local protocols. The results show that the information attainable by local operations is significantly less than that obtainable by nonlocal measurements, highlighting the nonlocal nature of these states. The paper concludes with a discussion of the implications of these findings for quantum information theory and the limitations of local operations in quantum mechanics.Quantum nonlocality without entanglement is demonstrated through sets of orthogonal, unentangled states that cannot be reliably distinguished by local operations and classical communication. The paper shows that even though these states are orthogonal, they cannot be distinguished by local measurements, indicating a form of nonlocality not based on entanglement. This nonlocality arises because the states are not orthogonal when viewed by individual observers, and thus cannot be reliably distinguished by any sequence of local measurements. The paper also discusses the implications of this result for quantum information processing, including entanglement purification and quantum key distribution. The analysis includes a detailed example of a 3x3 system where nine orthogonal states cannot be distinguished by local measurements, even with classical communication. The paper also explores the thermodynamics of local state measurement and the information-theoretic analysis of the mutual information obtainable by local protocols. The results show that the information attainable by local operations is significantly less than that obtainable by nonlocal measurements, highlighting the nonlocal nature of these states. The paper concludes with a discussion of the implications of these findings for quantum information theory and the limitations of local operations in quantum mechanics.
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Understanding Quantum nonlocality without entanglement