Efficient quantum circuits for dense circulant and circulant like operators

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Efficient quantum circuits for dense circulant and circulant like operators

Circulant matrices are an important family of operators, which have a wide range of applications in science and engineering-related fields. They are, in general, non-sparse and non-unitary. In this paper, we present efficient quantum circuits to implement circulant operators using fewer resources and with lower complexity than existing methods. Moreover, our quantum circuits can be readily exte...

متن کامل

Efficient domination in circulant graphs

Results about wreath products of circulant graphs are used to construct infinitely many circulant graphswith efficient dominating setswhose elements need not be equally spaced in Zn. It is proved that if a circulant graph of large degree has an efficient dominating set, then either its elements are equally spaced, or the graph is the wreath product of a smaller circulant graph with an efficient...

متن کامل

On circulant and two-circulant weighing matrices

We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W (148, 144), W (152, 144), W (156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer ”YES”, by constructing a circulant weighing matrix of orde...

متن کامل

Mixing of quantum walk on circulant bunkbeds

We give new observations on the mixing dynamics of a continuous-time quantum walk on circulants and their bunkbed extensions. These bunkbeds are defined through two standard graph operators: the join G + H and the Cartesian product G ⊕ H of graphs G and H . Our results include the following: • The quantum walk is average uniform mixing on circulants with bounded eigenvalue multiplicity. This ex...

متن کامل

Circulant States with Vanishing Quantum Discord

Quantum state of composite system contains both classical and quantum correlation. Usually by quantum correlations one means quantum entanglement which provides an essential resource for quantum information processing such as quantum cryptography, dense coding, quantum computing [1, 2]. However, a quantum state of a composed system may contain other types of nonclassical correlation even if it ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Royal Society Open Science

سال: 2017

ISSN: 2054-5703

DOI: 10.1098/rsos.160906