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Open Quantum Systems Decoherence
Spectral density of mixtures of random density matrices for qubits
arXiv
Authors: Lin Zhang, Jiamei Wang, Zhihua Chen
Year
2017
Paper ID
44144
Status
Preprint
Abstract Read
~2 min
Abstract Words
101
Citations
N/A
Abstract
We derive the spectral density of the equiprobable mixture of two random density matrices of a two-level quantum system. We also work out the spectral density of mixture under the so-called quantum addition rule. We use the spectral densities to calculate the average entropy of mixtures of random density matrices, and show that the average entropy of the arithmetic-mean-state of n qubit density matrices randomly chosen from the Hilbert-Schmidt ensemble is never decreasing with the number n. We also get the exact value of the average squared fidelity. Some conjectures and open problems related to von Neumann entropy are also proposed.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We derive the spectral density of the equiprobable mixture of two random density matrices of a two-level quantum system.
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