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Entanglement Manipulation and Concentration
| Content Provider | Semantic Scholar |
|---|---|
| Author | Thew, Rob T. Munro, William J. |
| Abstract | The increasing interest in quantum information and computing as well as other quantum mechanical dependent operations such as teleportation [1] and cryptography [2] have as their cornerstone a reliance on entanglement. There has been a great deal of discussion of measures and manipulation of entanglement in recent years with respect to purification [3], concentration [4], and distillable entanglement [5,6] especially concerning states subject to environmental noise. It is this noise that takes the initially pure maximally entangled resource and leaves us with, at best, a non maximally entangled state, or at worst a mixed state, both less pure and less entangled. We introduce a simple, experimentally realisable [7], protocol to manipulate and explore both pure and mixed-state entanglement. While the scheme will have limitations, in part due to its simplicity, it will allow experimental investigation of the large Hilbert space associated with mixed states. The motivation for this scheme comes from focusing ideas and proposals of several groups from the past few years into a simple realisation of mixed state entanglement manipulation. It was proposed that quantum correlations on mixed states could be enhanced by positive operator valued measurements [8]. A more specific example by Gisin [9] considered the manipulation of a 2×2 system using local filters. The scheme we propose here combines these ideas and uses an arrangement similar to the original Procrustean method [4] which dealt solely with pure states. The primary motivation here is in proposing a scheme that can be easily realised experimentally. With the recent advances in the preparation of nonmaximally entangled pure [10] and mixed [11] polarisation-entangled quantum states we now have a source for which there is a high degree of control over the degree of entanglement and purity of the state. This allows us to consider a wide variety of states and examine what operations can be performed so as to make the state more useful in the context of an entanglement resource. For the purposes of describing the possible manipulation of a state we will define the following three concepts of distillation, purification and concentration (illustrated schematically in Figure (1)) as follows, |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://cds.cern.ch/record/480316/files/0012049.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Computation (action) Cryptography Experiment HL7PublishingSubSection |
| Content Type | Text |
| Resource Type | Article |
