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

Journal Article · · Physical Review. A
;  [1];  [2]
  1. Theoretical Division, T-13, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
  2. Department of Physics, Polytechnic University, Brooklyn, New York 11201 (United States)

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.

OSTI ID:
20857855
Journal Information:
Physical Review. A, Vol. 74, Issue 4; Other Information: DOI: 10.1103/PhysRevA.74.042337; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English