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A new mathematical proof overturns the established hierarchy between real and complex quantum theories by demonstrating that real quantum theory can generate process correlations impossible for complex theory when causal order is indefinite. This reversal, evidenced by exceeding the LGYNI causal inequality in finite-dimensional systems, highlights a fundamental dichotomy where real quantum theory uniquely enables new causal connections under indefinite causality. The finding suggests that symmetry constraints and the absence of reference frames play a critical role in unlocking capabilities previously attributed solely to complex amplitudes.
Surse care acoperăQuantum Zeitgeist, estrategiasdeinversion.com, arXiv
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Real Quantum Theory Alone Permits Genuinely New Causal Connections

Quantum Zeitgeist5 min de cititArticolul și perspectiva sunt în engleză.

Complex quantum theory was previously considered strictly richer than its real counterpart when cause and effect are fixed. Now, a mathematical proof demonstrates the opposite, real quantum theory generates finite-dimensional process correlations that complex quantum theory cannot reproduce. This reversal occurs specifically when causal order itself becomes indefinite, opening new avenues for exploring quantum causality.

A reversal of the established hierarchy between real and complex quantum theories has been demonstrated when considering indefinite causal order. Jacopo Surace and colleagues at Aix-Marseille University show that real quantum theory can generate strictly more process correlations than complex quantum theory, challenging conventional understanding of quantum information processing. The research, utilising the process-matrix framework and exploring the impact of symmetry constraints on local quantum operations, reveals a key dichotomy between finite unitary symmetries and real quantum theory. It demonstrates genuinely…

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