Communication Dans Un Congrès Année : 2023

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

Résumé

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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Dates et versions

hal-05038697 , version 1 (17-04-2025)

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  • HAL Id : hal-05038697 , version 1

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Aadil Oufkir. Sample-Optimal Quantum Process Tomography with non-adaptive Incoherent Measurements. TQC 2023, Jul 2023, Aveiro, Portugal. ⟨hal-05038697⟩
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