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Conference Papers Year : 2023

Sample-Optimal Quantum Process Tomography with non-adaptive Incoherent Measurements

Abstract

How many copies of a quantum process are necessary and sufficient to construct an approximate classical description of it? We extend the result of Surawy-Stepney, Kahn, Kueng, and Guta (2022) to show that Õ(d^6 /\epsilon^2) copies are sufficient to learn a d-dimensional quantum channel to within ε in the diamond norm. Moreover, we show that Ω(d^6 /\epsilon^2) copies are necessary for any strategy using incoherent non-adaptive measurements. This lower bound applies even for ancilla-assisted strategies.
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hal-04081990 , version 1 (26-04-2023)

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Aadil Oufkir. Sample-Optimal Quantum Process Tomography with non-adaptive Incoherent Measurements. ISIT 2023 - IEEE International Symposium on Information Theory, Jun 2023, Taipei, Taiwan. pp.1919-1924, ⟨10.1109/ISIT54713.2023.10206538⟩. ⟨hal-04081990⟩
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