Author

Qihang Wang

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Preprint Sep 2026

Beyond Shor's Conjecture: Optimal Quantum Measurements at Fixed Error

We prove Shor's conjecture: an orthogonal measurement maximizes the information obtainable from any two quantum states in finite dimension. We then show that an error constraint can require three outcomes. For a class of full-rank qubit pairs, the best orthogonal basis switches abruptly as the error penalty increases....

Jinbo Wang, Qi-Hang Wang, Peng-Cheng Hou et al. · 1 citation · ⚡1

Preprint Aug 2026

Residual bounds for Schur-stable polynomials

Let $r_n$ be the infimum of \[ \frac{\lVert P'-P'(0)P\rVert_{H^2}}{\lVert P\rVert_{H^2}} \] over all degree-$n$ polynomials $P$ satisfying $P(0)=1$ whose zeros lie in the closed unit disk. We prove the quantitative residual bound \[ r_n\geq \exp\!\bigl(-(1+o(1))\sqrt n\log n\bigr) \qquad(n\to\infty). \] As an applicati...

Xiaojun Tan, Qihang Wang, Wei Huang et al. · 0 citations

Preprint Aug 2026

Complementary Quantum Correlations Are Universal for Qubits

Extracting total correlations from a quantum system usually requires reconstructing its state, whereas many experiments access only a few measurement settings. A possible shortcut is to add the mutual informations obtained from complementary measurements; in dimensions above two, however, this procedure can count the s...

Jinbo Wang, Qi-Hang Wang, Kun-Ren Chen · 2 citations