Author

Kun He

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Preprint Aug 2026

Approximating the Trace Distance Between Product Quantum States

We study the trace distance \[D_{\mathrm{tr}}(\rho,\sigma) =\frac12\|\rho-\sigma\|_1, \rho=\bigotimes_{i=1}^n\rho_i,\quad \sigma=\bigotimes_{i=1}^n\sigma_i, \] when the two exponentially large states are specified by their local factors. We give a deterministic approximation within a universal constant factor for ratio...

Kun He, Dimitrios Myrisiotis, Jun-Hong Nie et al. · 0 citations