Rigorous quantum state tomography for distributed quantum computing

Fuente: arXiv
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Autores principales: Mättig-Vásquez, Hans, Delgado, Aldo, Pereira, Luciano
Formato: Preprint
Publicado: 2026
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author Mättig-Vásquez, Hans
Delgado, Aldo
Pereira, Luciano
author_facet Mättig-Vásquez, Hans
Delgado, Aldo
Pereira, Luciano
contents Distributed quantum computing offers a promising approach to scaling quantum devices by networking multiple quantum processors. We present a quantum state tomography protocol tailored for distributed quantum computers that avoids assuming remote entanglement as a primitive resource. The protocol extends projected least-squares (PLS) tomography based on projective 2-designs to systems composed of multiple quantum processors, using only local operations within each processor and classical communication between nodes. Assuming entanglement within each individual quantum processor is trusted, the protocol can be executed using mutually unbiased bases. We derive rigorous, non-asymptotic trace-norm error bounds for the PLS estimator, with explicit exponential dependence on the number of nodes. In addition, we establish certified error bounds for estimating entanglement negativity from the PLS estimator. Numerical simulations for systems of up to seven qubits distributed across several devices validate the theoretical error bounds.
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id arxiv_https___arxiv_org_abs_2604_09775
institution arXiv
publishDate 2026
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spellingShingle Rigorous quantum state tomography for distributed quantum computing
Mättig-Vásquez, Hans
Delgado, Aldo
Pereira, Luciano
Quantum Physics
Distributed quantum computing offers a promising approach to scaling quantum devices by networking multiple quantum processors. We present a quantum state tomography protocol tailored for distributed quantum computers that avoids assuming remote entanglement as a primitive resource. The protocol extends projected least-squares (PLS) tomography based on projective 2-designs to systems composed of multiple quantum processors, using only local operations within each processor and classical communication between nodes. Assuming entanglement within each individual quantum processor is trusted, the protocol can be executed using mutually unbiased bases. We derive rigorous, non-asymptotic trace-norm error bounds for the PLS estimator, with explicit exponential dependence on the number of nodes. In addition, we establish certified error bounds for estimating entanglement negativity from the PLS estimator. Numerical simulations for systems of up to seven qubits distributed across several devices validate the theoretical error bounds.
title Rigorous quantum state tomography for distributed quantum computing
topic Quantum Physics
url https://arxiv.org/abs/2604.09775