The DOI matches its Crossref record; 370 of the 373 references it cites were found in a registry or an index.
The classical-quantum boundary for correlations: Discord and related measures
Open accessAbstract
One of the best signatures of nonclassicality in a quantum system is the existence of correlations that have no classical counterpart. Different methods for quantifying the quantum and classical parts of correlations are among the more actively studied topics of quantum-information theory over the past decade. Entanglement is the most prominent of these correlations, but in many cases unentangled states exhibit nonclassical behavior too. Thus distinguishing quantum correlations other than entanglement provides a better division between the quantum and classical worlds, especially when considering mixed states. Here different notions of classical and quantum correlations quantified by quantum discord and other related measures are reviewed. In the first half, the mathematical properties of the measures of quantum correlations are reviewed, related to each other, and the classical-quantum division that is common among them is discussed. In the second half, it is shown that the measures identify and quantify the deviation from classicality in various quantum-information-processing tasks, quantum thermodynamics, open-system dynamics, and many-body physics. It is shown that in many cases quantum correlations indicate an advantage of quantum methods over classical ones.
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“However, note that this equation does not hold for local maps on the ancilla 1 1 ⊗ E [231,232].”
From Quantum non-Markovianity: characterization, quantification and detection (2014) · cites this paper as [231]
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Lecture Notes in Computer Science 1205
(1999) · Industrial Robot the international journal of robotics research and application · doi:10.1108/ir.1999.04926fae.001 · Cited by 39,228
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,450
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Possible generalization of Boltzmann-Gibbs statistics
Tsallis, C. (1988) · Journal of Statistical Physics · doi:10.1007/bf01016429 · Cited by 9,589
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
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
Bennett, C. H., & Wiesner, S. J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2881 · Cited by 5,470
A single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406 · cited 1×
“The task of quantum cloning (Dieks, 1982; Wootters and Zurek, 1982) is achieved by a unitary operation that makes a copy of an unknown state from a given set {|ψi〉}: U |ψi〉 ⊗ |0〉 = |ψi〉 ⊗ |ψi〉.”
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3 of the 373 references couldn’t be matched to a known paper.
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- Holevo, A. S., 1973, Prob. Peredachi Inf., 9, 31
- Holevo, A. S., 1973, Probl. Inf. Transm., 9, 110
- Sen De, A., 2003, J. Mod. Opt., 50, 981
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Advances in quantum cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2020) · Advances in Optics and Photonics · doi:10.1364/aop.361502 · Cited by 2,033
Colloquium : Quantum coherence as a resource
Streltsov, A., Adesso, G., & Plenio, M. B. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.041003 · Cited by 1,870
Advances in Quantum Cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2019) · White Rose Research Online (University of Leeds, The University of Sheffield, University of York) · Cited by 1,566
Colloquium : Non-Markovian dynamics in open quantum systems
Breuer, H., Laine, E.-M., Piilo, J., & Vacchini, B. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021002 · Cited by 1,459
Fundamental limits of repeaterless quantum communications
Pirandola, S., Laurenza, R., Ottaviani, C., & Banchi, L. (2017) · Nature Communications · doi:10.1038/ncomms15043 · Cited by 1,438
Metadata
- Authors
- Modi, K., Brodutch, A., Cable, H., Paterek, T., & Vedral, V.
- Affiliations
- Centre for Quantum Technologies (SG)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2012-11-26
- Volume
- 84
- Issue
- 4
- Pages
- 1655-1707
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2082014836
- Semantic Scholar
- 1de3d1784cca4dc5dd2b0afb7050b4dd4c03e9ab
- Cited by
- 1,600
- References
- 373
- Citations by year
- 2026: 69 · 2025: 78 · 2024: 95 · 2023: 73 · 2022: 101 · 2021: 99 · 2020: 96 · 2019: 126 · 2018: 109 · 2017: 158 · 2016: 151 · 2015: 156 · 2014: 146 · 2013: 130 · 2012: 13
- FWCI
- 139.83
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Reviews of Modern Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- National University of Singapore (submittedVersion)
- DR-NTU (Nanyang Technological University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- John Templeton Foundation
- University of Oxford
- National Research Foundation
- Centre for Quantum Technologies
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › 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 many-body systems
- Keywords
- quantum discord, quantum correlations, quantum-to-classical transition, nonclassicality, entanglement, mixed states, quantum thermodynamics, open-system dynamics, many-body physics, quantum advantage
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