Maximally Entangled Mixed States: Creation and Concentration
Open accessAbstract
Using correlated photons from parametric down-conversion, we extend the boundaries of experimentally accessible two-qubit Hilbert space. Specifically, we have created and characterized maximally entangled mixed states that lie above the Werner boundary in the linear entropy-tangle plane. In addition, we demonstrate that such states can be efficiently concentrated, simultaneously increasing both the purity and the degree of entanglement. We investigate a previously unsuspected sensitivity imbalance in common state measures, i.e., the tangle, linear entropy, and fidelity.
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Physical linear optical devices exist (dichroic elements) that may generate nonphysical two-qubit quantum maps.
“Surprisingly, we shall find that physical linear optical devices exist ͑dichroic elements͒ that may generate nonphysical two-qubit quantum maps ͓40͔.”
From Linear optics and quantum maps (2007) · cites this paper as [40]
The experimental-arrangement passage (p. 2) describes physical glass elements that transmit one polarization more readily than the other, supporting the existence of polarization-dependent optical devices. The paper does not say that these elements generate nonphysical two-qubit quantum maps; that is the citing sentence’s additional claim. (LLM, conf=0.84)
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703 · see citing works
Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515 · see citing works
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290 · see citing works
James, D. F. V., Kwiat, P. G., Munro, W. J., & White, A. G. (2001) · Physical Review A · doi:10.1103/physreva.64.052312 · Cited by 2,176 · see citing works
Self-citationFidelity for Mixed Quantum States
Jozsa, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552171 · Cited by 1,911 · see citing works
Nonmaximally Entangled States: Production, Characterization, and Utilization
White, A. G., James, D. F. V., Eberhard, P. H., & Kwiat, P. G. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3103 · Cited by 511 · see citing works
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Research works printed but not linked: 3
- [22]P. Kwiat et al. , quant-ph/0303040 (2003). · arXiv
- [29]A. J. Berglund, Dartmouth College B.A. Thesis, also quant-ph/0010001 (2000); N. Peters et al. , J. Quant. Inf. Comp. 3 , 503 (2003). · arXiv
- [30]As recently demonstrated [M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, quant-ph/0303018 (2003); G. Di Nepi, F. De Martini, M. Barbieri, and P. Mataloni, quant-ph/0307204 (2003)], one could instead use the spatial degree of freedom to induce decoherence; however, the states are then not suitable, e.g., for use in fiber optic systems, or where interference methods are needed. · arXiv
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Multiphoton entanglement and interferometry
Pan, J.-W., Chen, Z.-B., Lu, C.-Y., Weinfurter, H., Zeilinger, A., & Żukowski, M. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.777 · Cited by 1,410 · see citing works
“Using type-II SPDC, two-photon states of tunable purity and the degree of entanglement can be produced (White et al., 1999; Peters et al., 2004; Cinelli et al., 2004).”
Entanglement and the lower bounds on the speed of quantum evolution
Borrás, A., Casas, M., Plastino, A. R., & Plastino, A. (2006) · Physical Review A · doi:10.1103/physreva.74.022326 · Cited by 63 · see citing works
Linear optics and quantum maps
Aiello, A., Puentes, G., & Woerdman, J. P. (2007) · Physical Review A · doi:10.1103/physreva.76.032323 · Cited by 28 · see citing works
Barbieri, M., Cinelli, C., Martini, F., & Mataloni, P. (2006) · Laser Physics · doi:10.1134/s1054660x06100069 · Cited by 5 · see citing works
- Authors
- Peters, N. A., Altepeter, J. B., Branning, D., Jeffrey, E. R., Wei, T.-C., & Kwiat, P. G.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-04-02
- Volume
- 92
- Issue
- 13
- Pages
- 133601-133601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1980743183
- Cited by
- 135
- References
- 6
- Citations by year
- 2025: 6 · 2024: 4 · 2023: 5 · 2022: 6 · 2021: 4 · 2020: 2 · 2019: 8 · 2018: 7 · 2017: 3 · 2016: 4 · 2015: 6 · 2014: 4 · 2013: 3 · 2012: 5
- FWCI
- 12.86
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- maximally entangled mixed states, two-qubit entanglement, Werner states, entanglement concentration, parametric down-conversion, correlated photons, linear entropy, tangles, fidelity, entanglement measures
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