16 citations · 17 across the 8 of their papers we have counts for
5 papers · 1 filter
Approximating the Trace Distance Between Product Quantum States
Kun He, Dimitrios Myrisiotis, Junhong Nie +1
We study the trace distance \[D_{\mathrm{tr}}(ρ,σ) =\frac12\|ρ-σ\|_1, ρ=\bigotimes_{i=1}^nρ_i,\quad σ=\bigotimes_{i=1}^nσ_i, \] when the two exponentially large states are specifie…
Algorithms and Hardness for Estimating Statistical Similarity
Arnab Bhattacharyya, Sutanu Gayen, Kuldeep S. Meel +3
We introduce and study the computational problem of determining statistical similarity between probability distributions. For distributions and over a finite sample space,…
Computational Explorations of Total Variation Distance
Arnab Bhattacharyya, Sutanu Gayen, Kuldeep S. Meel +3
We investigate some previously unexplored (or underexplored) computational aspects of total variation (TV) distance. First, we give a simple deterministic polynomial-time algorithm…
Total Variation Distance Meets Probabilistic Inference
Arnab Bhattacharyya, Sutanu Gayen, Kuldeep S. Meel +3
In this paper, we establish a novel connection between total variation (TV) distance estimation and probabilistic inference. In particular, we present an efficient, structure-prese…
On Approximating Total Variation Distance
Arnab Bhattacharyya, Sutanu Gayen, Kuldeep S. Meel +3
Total variation distance (TV distance) is a fundamental notion of distance between probability distributions. In this work, we introduce and study the problem of computing the TV d…