Overlapping qubits

Rui Chao, Ben W Reichardt, Chris Sutherland, Thomas Vidick

نتاج البحث: فصل من :كتاب / تقرير / مؤتمرمنشور من مؤتمر

ملخص

An ideal system of n qubits has 2^n dimensions. This exponential grants power, but also hinders characterizing the system's state and dynamics. We study a new problem: the qubits in a physical system might not be independent. They can "overlap," in the sense that an operation on one qubit slightly affects the others. We show that allowing for slight overlaps, n qubits can fit in just polynomially many dimensions. (Defined in a natural way, all pairwise overlaps can be <= epsilon in n^{O(1/epsilon^2)} dimensions.) Thus, even before considering issues like noise, a real system of n qubits might inherently lack any potential for exponential power. On the other hand, we also provide an efficient test to certify exponential dimensionality. Unfortunately, the test is sensitive to noise. It is important to devise more robust tests on the arrangements of qubits in quantum devices.<br />
اللغة الأصليةالإنجليزيّة
عنوان منشور المضيف8th Innovations in Theoretical Computer Science Conference (ITCS 2017)
عدد الصفحات21
مستوى الصوت67
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 28 نوفمبر 2017
منشور خارجيًانعم
الحدث8th Innovations in Theoretical Computer Science Conference (ITCS 2017) - Berkeley, CA, USA
المدة: ٩ يناير ٢٠١٧١١ يناير ٢٠١٧

سلسلة المنشورات

الاسمLeibniz International Proceedings in Informatics, LIPIcs
رقم المعيار الدولي للدوريات (المطبوع)1868-8969

!!Conference

!!Conference8th Innovations in Theoretical Computer Science Conference (ITCS 2017)
المدة٩/٠١/١٧١١/٠١/١٧

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