Using an imperfectly prepared state, we show that in relativistic settings, the evolution of a massive spin-1/2 particle violates many standard assumptions made in quantum information theory, including complete positivity. Unlike other recent endeavors in relativistic quantum information, we are able to quantify and maximize how much information can be transferred through such a quantum process by calculating its scope. We show that, surprisingly, relativistic noise can increase the amount of information that can be transferred, and in fact, even if the initial state is arbitrarily close to the completely mixed state, information can still be transferred perfectly. Additionally, we explore the relativistic effects of velocity and gravity on quantum information processing, and we briefly discuss how quantum computation is affected by general relativity. In particular, we show that the large Wigner rotation caused by a black hole as described in the Schwarzchild metric can greatly increase the informatic content of a qubit.

中文翻译：

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黑洞附近的量子信息处理

使用不完善的准备状态，我们证明在相对论环境中，自旋1/2粒子的演化违反了量子信息论中的许多标准假设，包括完全正性。与相对论量子信息的其他最新成果不同，我们能够通过计算其范围来量化和最大化通过这种量子过程可以传输多少信息。我们令人惊讶地表明，相对论噪声会增加可传输的信息量，实际上，即使初始状态任意接近完全混合的状态，信息仍然可以完美传输。此外，我们探索了速度和重力对量子信息处理的相对论效应，我们将简要讨论量子计算如何受到广义相对论的影响。特别地，我们表明，由Schwarzchild度量描述的黑洞引起的大Wigner旋转会极大地增加量子位的信息量。