Direct estimation of elements of quantum states algebra and entanglement detection via linear contractions

Direct estimation of elements of quantum states algebra and entanglement detection via linear... Possibility of some nonlinear-like operations in quantum mechanics are studied. Some general formula for real linear maps are derived. With the results we show how to perform physically separability tests based on any linear contraction (on product states) that either is real or Hermitian. We also show how to estimate either product or linear combinations of quantum states without knowledge about the states themselves. This can be viewed as a sort of quantum computing on quantum states algebra. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physics Letters A Elsevier

Direct estimation of elements of quantum states algebra and entanglement detection via linear contractions

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Publisher
Elsevier
Copyright
Copyright © 2003 Elsevier Ltd
ISSN
0375-9601
D.O.I.
10.1016/j.physleta.2003.09.028
Publisher site
See Article on Publisher Site

Abstract

Possibility of some nonlinear-like operations in quantum mechanics are studied. Some general formula for real linear maps are derived. With the results we show how to perform physically separability tests based on any linear contraction (on product states) that either is real or Hermitian. We also show how to estimate either product or linear combinations of quantum states without knowledge about the states themselves. This can be viewed as a sort of quantum computing on quantum states algebra.

Journal

Physics Letters AElsevier

Published: Dec 1, 2003

References

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