Einstein–Podolsky–Rosen (EPR) paradox highlights the absence of a local realistic explanation for quantum mechanics, and shows the incompatibility of the local-hidden-state models with quantum theory. For N-qubit states, or more importantly, the N-qubit mixed states, we present the EPR steering paradox in the form of the contradictory equality “$2=1$”. We show that the contradiction holds for any N-qubit state as long as both “the pure state requirement” and “the measurement requirement” are satisfied. This also indicates that the EPR steering paradox exists in more general cases. Finally, we give specific examples to demonstrate and analyze our arguments.

爱因斯坦-波多尔斯基-罗森 (EPR) 悖论凸显了量子力学缺乏局域现实解释，并表明局域隐藏态模型与量子理论的不相容性。对于N个量子位状态，或更重要的是，N个量子位混合状态，我们以矛盾等式的形式呈现EPR导向悖论“$2=1$”。我们证明，只要满足“纯态要求”和“测量要求”，矛盾就适用于任何N量子位态。这也表明EPR转向悖论存在于更一般的情况下。最后，我们给出具体的例子来论证和分析我们的论点。