# Positive operator measure associated with homodyne tomography using the generalized Wigner function

### Abstract

Recent studies have found a positive operator measure associated with quantum homodyne tomography which, with the state of a system, leads to the probability distribution p_{ht}^{T}. Here, we introduce the general integral kernel for the state T, which arises from considering the General Wigner function, and show that p_{ht}^{T} can still be expressed by the matrix elements of T when the general integral kernel is used, giving the same results as the standard integral kernel.

*Proceedings of the Samahang Pisika ng Pilipinas*

**36**, SPP-2018-1D-07 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-1D-07.