Various measuring properties for the bipartite continuous entangled state. (English) Zbl 1192.81039
Summary: We have calculated different kinds of measurement results for the bipartite continuous entangled state \(|\eta\rangle\). It is found that particle 2 simultaneously collapses to the similar type state to the measurement basis performed on the particle 1, which manifestly exhibits quantum entanglement. The calculation is greatly simplified by virtue of the the Schmidt decomposition of \(|\eta\rangle\) and the properties of \(|\eta\rangle\).
MSC:
| 81P15 | Quantum measurement theory, state operations, state preparations |
| 81P68 | Quantum computation |
References:
| [1] | DOI: 10.1103/PhysRevLett.70.1895 · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895 |
| [2] | DOI: 10.1103/PhysRevLett.80.869 · doi:10.1103/PhysRevLett.80.869 |
| [3] | DOI: 10.1103/PhysRevA.49.1473 · doi:10.1103/PhysRevA.49.1473 |
| [4] | DOI: 10.1016/S0375-9601(02)00070-1 · Zbl 0992.81006 · doi:10.1016/S0375-9601(02)00070-1 |
| [5] | Hu L.-Y., Commun. Theor. Phys. (Beijing, China) 47 pp 805– |
| [6] | Hu L.-Y., Chin. Phys. 16 pp 2200– |
| [7] | DOI: 10.1103/PhysRev.47.777 · Zbl 0012.04201 · doi:10.1103/PhysRev.47.777 |
| [8] | Preskill J., Lecture Notes for Physics 229, in: Quantum Information and Computation (1998) |
| [9] | DOI: 10.1142/S0217984907012943 · Zbl 1144.82302 · doi:10.1142/S0217984907012943 |
| [10] | Husimi K., Proc. Phys. Math. Soc. Jpn. 22 pp 264– |
| [11] | DOI: 10.1016/j.physleta.2005.12.108 · Zbl 1181.81074 · doi:10.1016/j.physleta.2005.12.108 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
