Quantum-Limited Symbol-Blind Channel Estimation for Coherent State Discrimination
- URL: http://arxiv.org/abs/2607.24644v1
- Date: Mon, 27 Jul 2026 16:42:02 GMT
- Title: Quantum-Limited Symbol-Blind Channel Estimation for Coherent State Discrimination
- Abstract summary: Residual dispersion breaks temporal-mode matching in photon-starved coherent links.<n>For equiprobable $M$-ary PSK coherent states in a known spectral mode, we establish the quantum limit for blind joint estimation of group delay and second-order dispersion.
- Score: 26.72128276876826
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Residual dispersion breaks temporal-mode matching in photon-starved coherent links. For equiprobable $M$-ary PSK coherent states in a known spectral mode, with unknown symbols and carrier phase, we establish the quantum limit for blind joint estimation of group delay and second-order dispersion: after eliminating the common phase, it is $4N_s\mathbf{C}$, set by the covariance of the centered generators alone. A multi-output quantum pulse gate with photon-number-resolving detection locally attains it and supports reception below the standard quantum limit under turbulent fading.
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