Influence of qubit displacements on quantum logic operations in a silicon-based quantum computer with constant interaction

The errors caused by qubit displacements from their prescribed locations in an ensemble of spin chains are estimated analytically and calculated numerically for a quantum computer based on phosphorus donors in silicon. We show that it is possible to polarize (initialize) the nuclear spins even with...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2006-10, Vol.74 (4), Article 042337
Main Authors: Kamenev, D. I., Berman, G. P., Tsifrinovich, V. I.
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
ATOMS
DISTANCE
ELECTRONS
ERRORS
EXCHANGE INTERACTIONS
GATING CIRCUITS
MATERIALS SCIENCE
PHOSPHORUS
QUANTUM COMPUTERS
QUANTUM MECHANICS
QUBITS
SILICON
SPIN
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Summary:The errors caused by qubit displacements from their prescribed locations in an ensemble of spin chains are estimated analytically and calculated numerically for a quantum computer based on phosphorus donors in silicon. We show that it is possible to polarize (initialize) the nuclear spins even with displaced qubits by using controlled-NOT gates between the electron and nuclear spins of the same phosphorus atom. However, a controlled-NOT gate between the displaced electron spins is implemented with large error because of the exponential dependence of exchange interaction constant on the distance between the qubits. If quantum computation is implemented on an ensemble of many spin chains, the errors can be small if the number of chains with displaced qubits is small.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.74.042337