The authors extend tensorial free cumulants to arbitrary orders, connect prior frameworks, and compute non-trivial examples for Gaussian tensors with structured covariances.
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In high-dimensional Hilbert spaces, near-orthogonality of almost all vectors supplies an exponentially large reservoir of mutually quasi-orthogonal environmental records that makes decoherence overwhelmingly effective for macroscopic systems.
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Properties of tensorial free cumulants
The authors extend tensorial free cumulants to arbitrary orders, connect prior frameworks, and compute non-trivial examples for Gaussian tensors with structured covariances.
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The Geometric Part of Decoherence: Quasi-Orthogonality in High-Dimensional Hilbert Spaces
In high-dimensional Hilbert spaces, near-orthogonality of almost all vectors supplies an exponentially large reservoir of mutually quasi-orthogonal environmental records that makes decoherence overwhelmingly effective for macroscopic systems.