Random matrix model of adiabatic quantum computing

نویسندگان
چکیده

برای دانلود رایگان 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

Random matrix model of adiabatic quantum computing

We present an analysis of the quantum adiabatic algorithm for solving hard instances of 3-SAT san NPcomplete problemd in terms of random matrix theory sRMTd. We determine the global regularity of the spectral fluctuations of the instantaneous Hamiltonians encountered during the interpolation between the starting Hamiltonians and the ones whose ground states encode the solutions to the computati...

متن کامل

Random Matrix Approach to Quantum Adiabatic Evolution Algorithms

We analyze the power of quantum adiabatic evolution algorithms (QAA) for solving random computationally hard optimization problems within a theoretical framework based on the random matrix theory (RMT). We present two types of the driven RMT models. In the first model, the driving Hamiltonian is represented by Brownian motion in the matrix space. We use the Brownian motion model to obtain a des...

متن کامل

Adiabatic Quantum Computing: An Overview

Quantum computations can be implemented not only by the action of quantum circuits, but by the adiabatic evolution of a system’s Hamiltonian. This can be done by initializing the system into the ground state of a simple Hamiltonian, and then adiabatically evolving the Hamiltonian to one whose ground state encodes the solution to the problem. The time complexity of the problem, or more basically...

متن کامل

Graph isomorphism and adiabatic quantum computing

In the Graph Isomorphism (GI) problem two N -vertex graphs G and G′ are given and the task is to determine whether there exists a permutation of the vertices of G that preserves adjacency and transforms G → G′. If yes, then G and G′ are said to be isomorphic; otherwise they are non-isomorphic. The GI problem is an important problem in computer science and is thought to be of comparable difficul...

متن کامل

Ramsey numbers and adiabatic quantum computing.

The graph-theoretic Ramsey numbers are notoriously difficult to calculate. In fact, for the two-color Ramsey numbers R(m,n) with m, n≥3, only nine are currently known. We present a quantum algorithm for the computation of the Ramsey numbers R(m,n). We show how the computation of R(m,n) can be mapped to a combinatorial optimization problem whose solution can be found using adiabatic quantum evol...

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: Physical Review A

سال: 2005

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.71.052324