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International Workshop on Quantum Information Processing
 
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QIP 2010 at

ETH Life

The daily web-journal of ETH Zurich:

"Lifting the big veil"

"Nach dem grossen Schleier lüften"

18.01.2010

QIP 2010 at the

Swiss Radio DRS

Echo der Zeit

from Monday Jan 18, 2010

in German, Link >>

(Real Player recommended)

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pdf files of
Programme Booklet >>
and
Abstracts of all Talks >>

You will receive a hard copy of these files at the registration desk.

Sponsors

Pauli Center for Theoretical Studies

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The Swiss National Science Foundation

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ETH Zurich (Computer Science and Physics Department)

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Quantum Science and Technology

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CQT Singapore

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QAP European Project

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Sandia National Laboratories

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Institute for Quantum Computing

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id Quantique

3rdideequantique

Simulation of fermionic lattice models in two dimensions with tensor network algorithms

Philippe Corboz, University of Queensland


The numerical simulation of strongly correlated fermionic systems in two dimensions is one of the biggest challenges in computational physics. Borrowing ideas and tools from quantum information and computation, a new generation of simulation techniques for many-body systems, the so-called tensor network algorithms (e.g. PEPS, MERA), have been proposed in the last few years. Given e.g. a 2D lattice system governed by a local Hamiltonian H, a tensor network algorithm attempts to approximate the ground state of H by means of a (in general non-unitary) quantum circuit. The efficiency of simulations depends directly on the amount of entanglement in the ground state of H, with the success of tensor network algorithms being closely related to the so-called “area law” for entanglement entropy. By considering a quantum circuit made of fermions,  tensor network algorithms have been recently extended to fermionic systems, thereby offering a new promising way to address long standing problems in condensed matter physics, such as the Hubbard model, which is conjectured to be the key model of high-temperature superconductors. After presenting a general overview on tensor network algorithms, I will discuss the most recent developments involving the simulation of fermions.


 

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