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Journal Articles Quantum Science and Technology Year : 2020

Entanglement of truncated quantum states

Intrication d'états quantiques tronqués

Abstract

We investigate the impact of Hilbert-space truncation upon the entanglement of an initially maximally entangled m × m bipartite quantum state, after propagation under an entanglement-preserving n × n (n ≥ m) unitary. Truncation-physically enforced, e.g., by a detector's finite cross section-projects the state onto an s × s-dimensional subspace (3 ≤ s ≤ 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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Dates and versions

hal-02907279 , version 1 (27-07-2020)

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Giacomo Sorelli, Vyacheslav N. Shatokhin, Filippus S. Roux, Andreas Buchleitner. Entanglement of truncated quantum states. Quantum Science and Technology, 2020, 5 (3), pp.035012. ⟨10.1088/2058-9565/ab9417⟩. ⟨hal-02907279⟩
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