Biorthogonal quantum mechanics: super-quantum correlations and expectation values without definite probabilities
Biorthogonal quantum mechanics: super-quantum correlations and expectation values without definite probabilities
复制标题
双正交量子力学：超量子相关性和无确定概率的期望值
DOI：
10.1088/1751-8113/46/48/485306
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
T. Takeuchi
中科院分区：
文献类型：
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作者：
L. Chang;Zachary Lewis;D. Minic;T. Takeuchi
我们提出了在有限伽罗瓦域GF（3）和GF（9）上的向量空间上构造量子力学的突变版本。我们在这里考虑的突变是不同于我们在以前的论文中提出的伽罗瓦场量子力学。在这个新的变异中，保留了期望值的规范表达式，而不是概率的规范表达式。事实上，概率是不确定的。进一步证明了有限域GF（9）上的突变量子力学具有超量子关联（即Bell-Clauser-Horne-Shimony-Holt界为4）.我们评论的基本物理意义上的量子引力的背景下，这些结果。
We propose mutant versions of quantum mechanics constructed on vector spaces over the finite Galois fields GF(3) and GF(9). The mutation we consider here is distinct from what we proposed in previous papers on Galois field quantum mechanics. In this new mutation, the canonical expression for expectation values is retained instead of that for probabilities. In fact, probabilities are indeterminate. Furthermore, it is shown that the mutant quantum mechanics over the finite field GF(9) exhibits super-quantum correlations (i.e. the Bell–Clauser–Horne–Shimony–Holt bound is 4). We comment on the fundamental physical importance of these results in the context of quantum gravity.