Genuinely multipoint temporal quantum correlations and universal measurement-based quantum computing

We introduce a constructive procedure that maps all spatial correlations of a broad class of d -level states of N parties into temporal correlations between general d -outcome quantum measurements performed on a single d -level system. This allows us to present temporal phenomena analogous to genui...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Markiewicz, Marcin, Przysiężna, Anna, Brierley, Stephen, Paterek, Tomasz
مؤلفون آخرون: School of Physical and Mathematical Sciences
التنسيق: مقال
اللغة:English
منشور في: 2014
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/104875
http://hdl.handle.net/10220/20305
الوسوم: إضافة وسم
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المؤسسة: Nanyang Technological University
اللغة: English
الوصف
الملخص:We introduce a constructive procedure that maps all spatial correlations of a broad class of d -level states of N parties into temporal correlations between general d -outcome quantum measurements performed on a single d -level system. This allows us to present temporal phenomena analogous to genuinely multipartite nonlocal phenomena, such as Greenberger-Horne-Zeilinger correlations, which do not exist if only projective measurements on a single qubit are considered. The map is applied to certain lattice systems in order to replace one spatial dimension with a temporal one, without affecting measured correlations. We use this map to show how repeated application of a one-dimensional (1D) cluster gate leads to universal one-way quantum computing when supplemented with general two-outcome quantum measurements. In this way, we recover a temporal version of measurement-based quantum computing performed on a sequentially recreated 1D cluster.