Toolbox for entanglement detection and fidelity estimation
arXiv:0706.2432 · doi:10.1103/PhysRevA.76.030305
Abstract
The determination of the state fidelity and the detection of entanglement are fundamental problems in quantum information experiments. We investigate how these goals can be achieved with a minimal effort. We show that the fidelity of GHZ and W states can be determined with an effort increasing only linearly with the number of qubits. We also present simple and robust methods for other states, such as cluster states and states in decoherence-free subspaces.
5 pages, no figures, v3: final version, to appear as a Rapid Communication in PRA
References in corpus (25)
- Separability of Mixed States: Necessary and Sufficient Conditions
- Three qubits can be entangled in two inequivalent ways
- Experimental One-Way Quantum Computing
- Scalable multi-particle entanglement of trapped ions
- Multi-party entanglement in graph states
- Bell Inequalities and the Separability Criterion
- Optimization of entanglement witnesses
- Experimental entanglement of six photons in graph states
- Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
- Witnessing multipartite entanglement
- Detecting Genuine Multipartite Entanglement with Two Local Measurements
- Detection of entanglement with few local measurements
- Experimental Analysis of a 4-Qubit Cluster State
- Entanglement Detection in the Stabilizer Formalism
- Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
- Reflections upon separability and distillability
- Four Photon Entanglement from Down Conversion
- Detection of multipartite entanglement in the vicinity of symmetric Dicke states
- Realization and characterization of a 2-photon 4-qubit linear cluster state
- Nonlinear entanglement witnesses
- On experimental procedures for entanglement verification
- Six-qubit permutation-based decoherence-free orthogonal basis
- Investigating three qubit entanglement with local measurements
- Multiqubit entanglement witness
- Lower bounds for the fidelity of entangled state preparation
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- Many-Body Entanglement in Solid-State Emitters
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- Implementation of a quantum controlled-SWAP gate with photonic circuits
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