Related papers: Entanglement of truncated quantum states

Entanglement of truncated quantum states

URL: http://arxiv.org/abs/2003.07129v2
Date: Tue, 5 May 2020 10:20:18 GMT
Title: Entanglement of truncated quantum states
Authors: Giacomo Sorelli, Vyacheslav N. Shatokhin, Filippus S. Roux and Andreas Buchleitner
Abstract summary: We investigate the impact of Hilbert-space truncation upon the entanglement of an initially maximally entangled $mtimes m$ bipartite quantum state. 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 $s$.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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