Quantum-state texture and gate identification

Fuente: arXiv
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Autore principale: Parisio, Fernando
Natura: Preprint
Pubblicazione: 2024
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author Parisio, Fernando
author_facet Parisio, Fernando
contents We introduce and explore the notion of texture of an arbitrary quantum state, in a selected basis. In the first part of this letter we develop a resource theory and show that state texture is adequately described by an easily computable monotone, which is also directly measurable. It is shown that textures are useful in the characterization of unknown quantum gates in universal circuit layers. By using randomized input states and recording the textures of the output qubits we are able to fully characterize the circuit layer, whenever it contains at least one CNOT gate. This can be done without the need of tomographic protocols and the use of ancillary systems.
format Preprint
id arxiv_https___arxiv_org_abs_2409_06482
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum-state texture and gate identification
Parisio, Fernando
Quantum Physics
We introduce and explore the notion of texture of an arbitrary quantum state, in a selected basis. In the first part of this letter we develop a resource theory and show that state texture is adequately described by an easily computable monotone, which is also directly measurable. It is shown that textures are useful in the characterization of unknown quantum gates in universal circuit layers. By using randomized input states and recording the textures of the output qubits we are able to fully characterize the circuit layer, whenever it contains at least one CNOT gate. This can be done without the need of tomographic protocols and the use of ancillary systems.
title Quantum-state texture and gate identification
topic Quantum Physics
url https://arxiv.org/abs/2409.06482