Quantum texture and gate identification

• URL: http://arxiv.org/abs/2409.06482v1
• Date: Tue, 10 Sep 2024 13:11:34 GMT
• Title: Quantum texture and gate identification
• Authors: Fernando Parisio,
• Abstract summary: We show that texture of an arbitrary quantum state is adequately described by an easily computable monotone. It is shown that textures are useful in the characterization of unknown quantum gates in universal circuit layers.
• Score: 55.2480439325792
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce and explore the notion of texture of an arbitrary quantum state, in a selected basis. In the first part of this work 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.

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