Sharp Contradiction for Local-Hidden-State Model in Quantum Steering.

Area of Science:

• Quantum Information Theory
• Foundations of Quantum Mechanics

Background:

• No-go theorems are crucial for ruling out physical models in quantum theory.
• The Greenberger-Horne-Zeilinger (GHZ) theorem refutes local hidden variable models for multipartite states.
• Bell's nonlocality argument does not directly apply to bipartite Einstein-Podolsky-Rosen (EPR) states.

Purpose of the Study:

• To establish a no-go theorem for the nonexistence of local hidden state models in the EPR paradox.
• To demonstrate a GHZ-like contradiction for any bipartite pure entangled state.
• To show that quantum steering is the closest description to the EPR paradox's original intent.

Main Methods:

• Developed a GHZ-like contradiction applicable to bipartite pure entangled states.
• Utilized principles of quantum nonlocality and entanglement.
• Analyzed the EPR paradox through the lens of quantum steering.

Main Results:

• Proved a no-go theorem for local hidden state models in the EPR paradox.
• Established a simple contradiction for any bipartite pure entangled state.
• Demonstrated that the presented steering paradox closely mirrors the original EPR paradox.

Conclusions:

• Local hidden state models are untenable for explaining bipartite entanglement in the EPR paradox.
• Quantum steering provides the most accurate description of the EPR paradox.
• The findings offer new insights into the fundamental nature of quantum nonlocality.