Toolbox for entanglement detection and fidelity estimation
Open accessAbstract
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 Greenberger-Horne-Zeilinger 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.
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A toolbox for efficient witness operator construction has been created for some multi-particle states (GHZ, cluster, and W) and applied in a number of multi-photon experiments.
“A toolbox for efficient witness operator construction has been created for some multi-particle states (such as GHZ, cluster, and W state, see e.g.Gühne et al. 2007), and applied in a number of multi-photon experiments (see e.g.Bourennane et al. 2004a;Kiesel et al. 2005a;Lu et al. 2007a;Wieczorek et al. 2009a).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Gühne et al. 2007
The technique of coherently controlling multiple qubits and executing complex, multiple-gate quantum circuits presents an advance on linear optics quantum computation and allows testing other similar quantum algorithms such as solving differential equations and data fitting.
“The technique of coherently controlling multiple qubits and executing complex, multiple-gate quantum circuits presents an advance on linear optics quantum computation [21, 25] and allows to test other similar quantum algorithms such as solving differential equations [26, 27] and data fitting [28].”
From Experimental Quantum Computing to Solve Systems of Linear Equations (2013) · cites this paper as [28]
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Cites
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Flagged first, then by citations
Research works printed but not linked: 3
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- [17]M. Hein, J. Eisert, and H.-J. Briegel, Phys. Rev. A 69, 062311 (2004).
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Cited by
Sorted by citations
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Self-citationMultiphoton entanglement and interferometry
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Self-citationDirect Fidelity Estimation from Few Pauli Measurements
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Self-citationDemonstrating Anyonic Fractional Statistics with a Six-Qubit Quantum Simulator
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Self-citation
- Authors
- Gühne, O., Lu, C.-Y., Gao, W.-B., & Pan, J.-W.
- Affiliations
- Austrian Academy of Sciences (AT)
- University of Science and Technology of China (CN)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2007-09-18
- Volume
- 76
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2065198093
- Cited by
- 137
- References
- 29
- Citations by year
- 2026: 8 · 2025: 11 · 2024: 15 · 2023: 14 · 2022: 14 · 2021: 11 · 2020: 7 · 2019: 6 · 2018: 2 · 2017: 3 · 2016: 7 · 2015: 6 · 2014: 3 · 2013: 3 · 2012: 6
- FWCI
- 7.09
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- entanglement detection, GHZ states, W state, cluster states, decoherence-free subspace, multi-qubit states, quantum information
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