Photon-Conditioned Squeezed States for Directional Displacement Response in Continuous-Variable Photonics
- URL: http://arxiv.org/abs/2605.27660v1
- Date: Tue, 26 May 2026 20:23:50 GMT
- Title: Photon-Conditioned Squeezed States for Directional Displacement Response in Continuous-Variable Photonics
- Abstract summary: Squeezed Fock states, photon-subtracted squeezed states, and optical cat states are established non-Gaussian resources in continuous-variable quantum optics.<n>We compare these known state families from a task-oriented perspective.<n>Results identify a regime relevant to homodyne-aligned continuous-variable control and anisotropic displacement-noise mitigation.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Squeezed Fock states, photon-subtracted squeezed states, and optical cat states are established non-Gaussian resources in continuous-variable quantum optics. Here we compare these known state families from a task-oriented perspective: matched mean photon number, scalar Wigner negativity, and directional displacement-fidelity response. Starting from squeezed vacuum, single-photon subtraction prepares a state proportional to \(S(r,θ)\ket{1}\), while two-photon subtraction prepares an even-parity squeezed Fock superposition rather than a pure \(S(r,θ)\ket{2}\). We benchmark photon-conditioned squeezed states against Fock and coherent-cat references using the integrated Wigner negativity \(δ\), the energy-normalized metric \(δ/\langle n\rangle\), and fidelity-threshold displacement radii \(R_F(φ)\). Cat benchmarks remain strong scalar Wigner-negativity resources, whereas photon-conditioned squeezed states provide an origin-centered alternative with tunable anisotropic displacement response. In particular, the two-photon-subtracted squeezed state shows favorable displacement-fidelity radii over selected quadrature directions at matched \(\langle n\rangle\). These results identify a regime relevant to homodyne-aligned continuous-variable control and anisotropic displacement-noise mitigation, with directional sensing as a natural dual application.
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