ar X iv : 1 70 9 . 02 78 9 v 1 [ qu an t - ph ] 8 S ep 2 01 7 Magic State Distillation at Intermediate Size
نویسندگان
چکیده
Recently [1] we proposed a family of magic state distillation protocols that obtains asymptotic performance that is conjectured to be optimal. This family depends upon several codes, called “inner codes” and “outer codes.” In Ref. 1, some small examples of these codes were given as well as an analysis of codes in the asymptotic limit. Here, we analyze such protocols in an intermediate size regime, using hundreds to thousands of qubits. We use BCH inner codes [2], combined with various outer codes. We extend the protocols of Ref. 1 by adding error correction in some cases. We present a variety of protocols in various input error regimes; in many cases these protocols require significantly fewer input magic states to obtain a given output error than previous protocols.
منابع مشابه
ar X iv : 1 70 8 . 02 82 2 v 1 [ qu an t - ph ] 9 A ug 2 01 7 General implementation of arbitrary nonlinear quadrature phase gates
Petr Marek, ∗ Radim Filip, Hisashi Ogawa, Atsushi Sakaguchi, Shuntaro Takeda, Jun-ichi Yoshikawa, 3 and Akira Furusawa † Department of Optics, Palacký University, 17. listopadu 1192/12, 77146 Olomouc, Czech Republic Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan Quantum-Phase Electronics Center, School of Engineering,...
متن کاملar X iv : q - a lg / 9 70 90 01 v 1 1 S ep 1 99 7 Bilinear identity for q - hypergeometric integrals
متن کامل
ar X iv : 0 90 9 . 02 95 v 2 [ qu an t - ph ] 8 S ep 2 00 9 1 Quantum weak values are not unique What do they actually measure ?
Precise definitions of “weak [quantum] measurements” and “weak value” [of a quantum observable] are offered, which seem to capture the meaning of the often vague ways that these terms are used in the literature. Simple finite dimensional examples are given showing that weak values are not unique. They therefore cannot correspond to any physical attribute of the system being “weakly” measured, c...
متن کاملar X iv : h ep - e x / 01 12 02 6 v 1 1 9 D ec 2 00 1 Results on CP Violation from Belle
I describe the recent measurement of the CP violating parameter sin 2φ 1 = (0.99 ± 0.14 ± 0.05) from the Belle experiment at KEK.
متن کاملar X iv : 0 90 9 . 02 95 v 1 [ qu an t - ph ] 2 S ep 2 00 9 1 Quantum weak values are not unique What do they actually measure ?
Precise definitions of “weak [quantum] measurements” and “weak value” [of a quantum observable] are offered, which seem to capture the meaning of the often vague ways that these terms are used in the literature. Simple finite dimensional examples are given showing that weak values are not unique. They therefore cannot correspond to any physical attribute of the system being “weakly” measured, c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017