Can I read A Note on the Inner Products of Pure States and Their Antidistinguishability on EtoBox?

A Note on the Inner Products of Pure States and Their Antidistinguishability by Russo, Vincent; Sikora, Jamie is a scholarly article available to read on EtoBox.

What is A Note on the Inner Products of Pure States and Their Antidistinguishability about?

A set of d quantum states is said to be antidistinguishable if there exists a d-outcome POVM that can perfectly identify which state was not measured. A conjecture by Havl\'i\v{c}ek and Barrett states that if a set of d pure states has small pair-wise inner products, then the set must be antidistinguishable. In this note we provide a certificate of antidistinguishability via semidefinite programming duality and use it to provide a counterexample to this conjecture when d = 4.

Author

Russo, Vincent; Sikora, Jamie

Published

2022

Language

EN