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arXiv · 2003.07129

Entanglement of truncated quantum states

Giacomo Sorelli·Vyacheslav N. Shatokhin·Filippus S. Roux·Andreas Buchleitner
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Abstract

We investigate the impact of Hilbert-space truncation upon the entanglement of an initially maximally entangled $m\times m$ bipartite quantum state, after propagation under an entanglement-preserving $n \times n$ ($n\geq m$) unitary. Truncation -- physically enforced, e.g., by a detector's finite cross section -- projects the state onto an $s \times s$-dimensional subspace ($3\leq s \leq n$). For a random local unitary evolution, we obtain a simple analytical formula that expresses the truncation-induced entanglement loss as a function of $n$, $m$ and $s$.

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Giacomo Sorelli, Vyacheslav N. Shatokhin, Filippus S. Roux, Andreas Buchleitner. 2020-03-16. Entanglement of truncated quantum states. https://arxiv.org/abs/2003.07129

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