Abstract
In their well-known argument against the completeness of quantum theory, Einstein, Podolsky, and Rosen (EPR) made use of a state that strictly correlates the positions and momenta of two particles. We prove the existence and uniqueness of the EPR state as a normalized, positive linear functional of the Weyl algebra for two degrees of freedom. We then show that the EPR state maximally violates Bell's inequalities.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 321-329 |
| Number of pages | 9 |
| Journal | Letters in Mathematical Physics |
| Volume | 53 |
| Issue number | 4 |
| DOIs | |
| State | Published - Sep 2000 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Keywords
- Bell correlation
- Type II factor
- Weyl algebra