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Quantum Secret Sharing using GHZ States: Difference between revisions
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Quantum Secret Sharing using GHZ States (edit)
Revision as of 12:39, 27 September 2024
, 27 September→Simplest Case ((2,2))
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In the first expansion, if Charlie chooses the X-basis (with 50% probability) to perform the measurement, he will know whether Alice and Bob have correlated results. But Charlie does not know Alice’s actual result because he does not know Bob’s result. Also, Bob does not know Alice’s actual result because he does not know whether his result is correlated or anticorrelated to Alice’s result. | In the first expansion, if Charlie chooses the X-basis (with 50% probability) to perform the measurement, he will know whether Alice and Bob have correlated results. But Charlie does not know Alice’s actual result because he does not know Bob’s result. Also, Bob does not know Alice’s actual result because he does not know whether his result is correlated or anticorrelated to Alice’s result. | ||
Also, if Charlie chooses Y-basis, he will get no information. Since Charlie has 50% probability to get $ | Also, if Charlie chooses Y-basis, he will get no information. Since Charlie has 50% probability to get $|+y\rangle$ and 50% probability to get $|-y\rangle$. Therefore they will cancel this turn and repeat. | ||
The [https://arxiv.org/pdf/quant-ph/9806063.pdf below table] shows the relationship of Alice's and Bob's measurements on Charlie's state for the standard GHZ triplet: | The [https://arxiv.org/pdf/quant-ph/9806063.pdf below table] shows the relationship of Alice's and Bob's measurements on Charlie's state for the standard GHZ triplet: | ||
{| class="wikitable" | {| class="wikitable" | ||