Collective decoherence of the superpositional entangled states in the quantum Shor algorithm

We consider collective decoherence for the quantum Shor algorithm. A quantum computer which interacts with its environment is modeled by a spin-1/2 chain interacting with harmonic oscillators at a given temperature. We calculate the nondiagonal matrix elements of the density matrix which are importa...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2005-03, Vol.71 (3), Article 032346
Main Authors: Berman, G. P., Kamenev, D. I., Tsifrinovich, V. I.
Format: Article
Language:English
Subjects:
ALGEBRA
ALGORITHMS
ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DECAY
DENSITY MATRIX
ENERGY LEVELS
HARMONIC OSCILLATORS
IMPLEMENTATION
INFORMATION THEORY
LAMB SHIFT
MATERIALS SCIENCE
MATRIX ELEMENTS
PHASE SHIFT
PROBABILITY
QUANTUM MECHANICS
QUANTUM NUMBERS
SPIN
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider collective decoherence for the quantum Shor algorithm. A quantum computer which interacts with its environment is modeled by a spin-1/2 chain interacting with harmonic oscillators at a given temperature. We calculate the nondiagonal matrix elements of the density matrix which are important for implementation of the quantum Shor algorithm, and study the decay rate and the Lamb phase shift for these elements. It is shown that the probability of superdecoherence in the quantum Shor algorithm is extremely small. The conditions for preserving quantum entanglement are formulated.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.71.032346