论文标题

完全真实?关于科尔贝克和雷纳的主张的批判性笔记

Completely real? A critical note on the claims by Colbeck and Renner

论文作者

Hermens, Ronnie

论文摘要

在一系列论文中,科尔贝克和雷纳声称量子状态为预测未来测量结果提供了完整的描述。在本文中,我认为迄今为止尚未提供任何可靠的令人满意的证据来支持这一主张。在Leifer,Landsman和Leegwater的早期工作的基础上,我提出并证明了两个结果,只能部分支持这一主张。然后,我讨论了Colbeck,Renner和Leegwater关于这些结果如何推广到全部主张的论点。该论点证明,在任何可能完成量子力学的完成中表示统一进化方式的隐含使用假设的隐式使用。我认为这一假设是不令人满意的,并且可能基于测量理论验证它的可能也没有成功。

In a series of papers Colbeck and Renner claim to have shown that the quantum state provides a complete description for the prediction of future measurement outcomes. In this paper I argue that thus far no solid satisfactory proof has been presented to support this claim. Building on the earlier work of Leifer, Landsman and Leegwater, I present and prove two results that only partially support this claim. I then discuss the arguments by Colbeck, Renner and Leegwater concerning how these results are to generalize to the full claim. This argument turns out to hinge on the implicit use of an assumption concerning the way unitary evolution is to be represented in any possible completion of quantum mechanics. I argue that this assumption is unsatisfactory and that possible attempts to validate it based on measurement theory also do not succeed.

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