A multi-photon Stokes-parameter invariant for entangled states

Abstract

We consider the Minkowskian norm of the n-photon Stokes tensor, a scalar invariant under the group realized by the transformations of stochastic local quantum operations and classical communications (SLOCC). This invariant is offered as a candidate entanglement measure for n-qubit states and discussed in relation to measures of quantum state entanglement for certain important classes of two-qubit and three-qubit systems. This invariant can be directly estimated via a quantum network, obviating the need to perform laborious quantum state tomography. We also show that this invariant directly captures the extent of entanglement purification due to SLOCC filters.

9 pages, 0 figures, Accepted for publication in Physical Review A

References in corpus (10)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Exact and Asymptotic Measures of Multipartite Pure State Entanglement
• A potential multipartide entanglement measure
• Demonstration of the Complementarity of One- and Two-Photon Interference
• Stokes Parameters as a Minkowskian Four-vector
• The Lorentz singular value decomposition and its applications to pure states of 3 qubits
• Quantum Entanglement and the Two-Photon Stokes Parameters
• Wigner Rotations and Iwasawa Decompositions in Polarization Optics

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