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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

The query complexity of Hamiltonian simulation and unitary implementation

Dominic W. Berry, Caltech

joint work with Andrew M. Childs

We present a general method for simulating a Hamiltonian given a black box for its matrix elements in a fixed basis. This method improves upon previous simulations of sparse Hamiltonians, but also applies to the non-sparse case. A major application is the implementation of black-box unitary transformations. We show how to implement a general N x N unitary transformation with bounded error using Õ(N2/3) queries to a black box for its entries (ignoring logarithmic factors). In fact, except in pathological cases, it appears that the implementation can be performed with only Õ(N1/2) queries, which is optimal.  In contrast, standard methods use Õ(N2) elementary operations.

 

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