0505033v1

related topics
{phase, path, phys}
{equation, function, exp}
{qubit, qubits, gate}
{state, algorithm, problem}
{states, state, optimal}
{operator, operators, space}
{time, decoherence, evolution}
{algorithm, log, probability}
{let, theorem, proof}

Isoholonomic Problem and Holonomic Quantum Computation

Shogo Tanimura

abstract: Geometric phases accompanying adiabatic processes in quantum systems can be utilized as unitary gates for quantum computation. Optimization of control of the adiabatic process naturally leads to the isoholonomic problem. The isoholonomic problem in a homogeneous fiber bundle is formulated and solved completely.

oai_identifier:
oai:arXiv.org:quant-ph/0505033
categories:
quant-ph
comments:
7 pages, Proceedings of International Conference on Topology in Ordered Phases organized by Hokkaido University in March 2005
arxiv_id:
quant-ph/0505033
created:
2005-05-06

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