Local Quantum Measurement and No-Signaling Imply Quantum Correlations
- Creators
- Barnum, H.
- Beigi, S.
- Boixo, S.
- Elliott, M. B.
- Wehner, S.
Abstract
We show that, assuming that quantum mechanics holds locally, the finite speed of information is the principle that limits all possible correlations between distant parties to be quantum mechanical as well. Local quantum mechanics means that a Hilbert space is assigned to each party, and then all local positive-operator-valued measurements are (in principle) available; however, the joint system is not necessarily described by a Hilbert space. In particular, we do not assume the tensor product formalism between the joint systems. Our result shows that if any experiment would give nonlocal correlations beyond quantum mechanics, quantum theory would be invalidated even locally.
Additional Information
© 2010 The American Physical Society. Received 26 November 2009; published 6 April 2010. This work was supported by the National Science Foundation under Grant No. PHY-0803371 through the Institute for Quantum Information at the California Institute of Technology, and by the U.S. Department of Energy through the LDRD program at Los Alamos National Laboratory. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.Attached Files
Published - Barnum2010p9850Phys_Rev_Lett.pdf
Supplemental Material - README.TXT
Supplemental Material - popt-sup.pdf
Supplemental Material - popt-sup.tex
Files
Additional details
- Eprint ID
- 18338
- Resolver ID
- CaltechAUTHORS:20100518-104658791
- PHY-0803371
- NSF
- U.S. Department of Energy
- Industry Canada, Canada
- Ministry of Research and Innovation, Province of Ontario, Canada
- Created
-
2010-05-19Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field