GHZ extraction yield for multipartite stabilizer states
- Creators
- Bravyi, Sergey
- Fattal, David
- Gottesman, Daniel
Abstract
Let |Psi> be an arbitrary stabilizer state distributed between three remote parties, such that each party holds several qubits. Let S be a stabilizer group of |Psi>. We show that |Psi> can be converted by local unitaries into a collection of singlets, GHZ states, and local one-qubit states. The numbers of singlets and GHZs are determined by dimensions of certain subgroups of S. For an arbitrary number of parties m we find a formula for the maximal number of m-partite GHZ states that can be extracted from |Psi> by local unitaries. A connection with earlier introduced measures of multipartite correlations is made. An example of an undecomposable four-party stabilizer state with more than one qubit per party is given. These results are derived from a general theoretical framework that allows one to study interconversion of multipartite stabilizer states by local Clifford group operators. As a simple application, we study three-party entanglement in two-dimensional lattice models that can be exactly solved by the stabilizer formalism.
Additional Information
©2006 American Institute of Physics (Received 20 January 2006; accepted 17 April 2006; published online 26 June 2006) The authors acknowledge Ike Chuang for fruitful discussion. One of the authors (S.B.) received support from the National Science Foundation under Grant No. EIA-0086038. One of the authors (D.G.) is supported by CIAR and by NSERC of Canada.Files
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Additional details
- Eprint ID
- 4578
- Resolver ID
- CaltechAUTHORS:BRAjmp06
- Created
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2006-08-29Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field