تقرير
A note on the inner products of pure states and their antidistinguishability
| العنوان: | A note on the inner products of pure states and their antidistinguishability |
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| المؤلفون: | Russo, Vincent, Sikora, Jamie |
| سنة النشر: | 2022 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | 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. Comment: 3 pages. Comments welcome |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.107.L030202 |
| URL الوصول: | http://arxiv.org/abs/2206.08313 |
| رقم الأكسشن: | edsarx.2206.08313 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevA.107.L030202 |
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