Quantum state tomography of photon's polarization and path degrees of freedom

• URL: http://arxiv.org/abs/2308.12813v2
• Date: Fri, 26 Jan 2024 21:13:40 GMT
• Title: Quantum state tomography of photon's polarization and path degrees of freedom
• Authors: J. L. Montenegro Ferreira and B. de Lima Bernardo
• Abstract summary: We propose a method to reconstruct the density matrix of two qubits encoded in the polarization and path degrees of freedom of a single photon. Our findings put forward photonic circuits for the investigation of the dynamics of open quantum systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum state tomography (QST), the process through which the density matrix of a quantum system is characterized from measurements of specific observables, is a fundamental pillar in the fields of quantum information and computation. In this work, we propose a simple QST method to reconstruct the density matrix of two qubits encoded in the polarization and path degrees of freedom of a single photon, which can be realized with a single linear-optical setup. We demonstrate that the density matrix can be fully described in terms of the Stokes parameters related to the two possibles paths of the photon, together with a quantum version of the two-point Stokes parameters introduced here. Our findings put forward photonic circuits for the investigation of the dynamics of open quantum systems.

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