通过不可比较状态的存在性的一般不可能运算类
General Classes of Impossible Operations through the Existence of Incomparable States
摘要：
在这项工作中，我们表明，最普遍的一类反酉算子是非物理的性质，通过存在无与伦比的纯二体纠缠态。它还表明，一个大类的内积保持操作只定义在三个量子比特的自旋方向沿x，y和z是不可能的。如果我们在一个特定的纯二分态上局部地执行这样的操作，那么它将精确地变换到另一个与原始状态不可比较的纯二分态。作为上述结果的子情形，我们发现了普适精确翻转操作的非物理性质和普适Hadamard门的存在性。除了纠缠方面的信息守恒之外，这项工作还展示了一个不可能的局部操作如何以非物理的方式与联合系统一起进化。
英文摘要：
In this work we show that the most general class of anti-unitary operators are nonphysical in nature through the existence of incomparable pure bipartite entangled states. It is also shown that a large class of inner-product-preserving operations defined only on the three qubits having spin-directions along x, y and z are impossible. If we perform such an operation locally on a particular pure bipartite state then it will exactly transform to another pure bipartite state that is incomparable with the original one. As subcases of the above results we find the nonphysical nature of universal exact flipping operation and existence of universal Hadamard gate. Beyond the information conservation in terms of entanglement, this work shows how an impossible local operation evolve with the joint system in a nonphysical way.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
