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Entanglement purification of unknown quantum states | | Todd A. Brun
; Carlton M. Caves
; Ruediger Schack
; | | Date: |
9 Oct 2000 | | Journal: | Phys. Rev. A 63, 042309 (2001) | | Subject: | quant-ph | | Affiliation: | IAS), Carlton M. Caves (UNM), and Ruediger Schack (Royal Holloway, London | | Abstract: | A concern has been expressed that ``the Jaynes principle can produce fake entanglement’’ [R. Horodecki et al., Phys. Rev. A {f 59}, 1799 (1999)]. In this paper we discuss the general problem of distilling maximally entangled states from $N$ copies of a bipartite quantum system about which only partial information is known, for instance in the form of a given expectation value. We point out that there is indeed a problem with applying the Jaynes principle of maximum entropy to more than one copy of a system, but the nature of this problem is classical and was discussed extensively by Jaynes. Under the additional assumption that the state $
ho^{(N)}$ of the $N$ copies of the quantum system is exchangeable, one can write down a simple general expression for $
ho^{(N)}$. We show how to modify two standard entanglement purification protocols, one-way hashing and recurrence, so that they can be applied to exchangeable states. We thus give an explicit algorithm for distilling entanglement from an unknown or partially known quantum state. | | Source: | arXiv, quant-ph/0010038 | | Services: | Forum | Review | PDF | Favorites | |
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