Quantum noise generated by local random Hamiltonians
نویسندگان
چکیده
منابع مشابه
Local Hamiltonians in Quantum Computation
In this thesis, I investigate aspects of local Hamiltonians in quantum computing. First, I focus on the Adiabatic Quantum Computing model, based on evolution with a timedependent Hamiltonian. I show that to succeed using AQC, the Hamiltonian involved must have local structure, which leads to a result about eigenvalue gaps from information theory. I also improve results about simulating quantum ...
متن کاملQuantum Diffusion and Tunneling with Parametric Banded Random Matrix Hamiltonians
The microscopic origin of dissipation of a driven quantum many body system is addressed in the framework of a parametric banded random matrix approach. We find noticeable violations of the fluctuation–dissipation theorem and we observe also that the energy diffusion has a markedly non–Gaussian character. Within the Feynman–Vernon path integral formalism and in the Markovian limit, we further co...
متن کاملMapping local Hamiltonians of fermions to local Hamiltonians of spins
We show how to map local fermionic problems onto local spin problems on a lattice in any dimension. The main idea is to introduce auxiliary degrees of freedom, represented by Majorana fermions, which allow us to extend the Jordan–Wigner transformation to dimensions higher than one. We also discuss the implications of our results in the numerical investigation of fermionic systems.
متن کاملOn the averaged quantum dynamics by white-noise Hamiltonians with and without dissipation
Exact results are derived on the averaged dynamics of a class of random quantum-dynamical systems in continuous space. Each member of the class is characterized by a Hamiltonian which is the sum of two parts. While one part is deterministic, timeindependent and quadratic, the Weyl-Wigner symbol of the other part is a homogeneous Gaussian random field which is delta correlated in time, but smoot...
متن کاملUniversal quantum Hamiltonians
Quantum many-body systems exhibit a bewilderingly diverse range of behaviours. Here, we prove that all the physics of every other quantum many-body system is replicated in certain simple, “universal” quantum spin-lattice models. We first characterise precisely and in full generality what it means for one quantum many-body system to replicate the entire physics of another. We then fully classify...
متن کاملذخیره 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: 2017
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.95.032333