0411058v1

related topics
{qubit, qubits, gate}
{let, theorem, proof}
{states, state, optimal}
{entanglement, phys, rev}
{operator, operators, space}
{state, phys, rev}
{bell, inequality, local}
{state, algorithm, problem}

Conditions for optimal construction of two-qubit non-local gates

Yong-Sheng Zhang, Ming-Yong Ye, Guang-Can Guo

abstract: Optimal implementation of quantum gates is crucial for designing a quantum computer. The necessary condition for optimal construction of a two-qubit unitary operation is obtained. It can be proved that the B gate is the unique gate that can construct a two-qubit universal circuit with only two applications, i.e. this condition is also sufficient in the case of two applications of the elementary two-qubit gate. It is also shown that one half of perfect entanglers can not simulate an arbitrary two-qubit gate with only 3 applications.

oai_identifier:
oai:arXiv.org:quant-ph/0411058
categories:
quant-ph
comments:
5 pages, 1 figure
doi:
10.1103/PhysRevA.71.062331
arxiv_id:
quant-ph/0411058
journal_ref:
Phys. Rev. A 71, 062331 (2005)
created:
2004-11-09

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