The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Wigner-Yanase skew information vs. quantum Fisher information
Open accessAbstract
Among concepts describing the information contents of quantum mechanical density operators, both the Wigner-Yanase skew information and the quantum Fisher information defined via symmetric logarithmic derivatives are natural generalizations of the classical Fisher information. We will establish a relationship between these two fundamental quantities and show that they are comparable.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum detection and estimation theory
Helstrom, C. W. (1969) · Journal of Statistical Physics · doi:10.1007/bf01007479 · Cited by 3,776
Theory of Statistical Estimation
Fisher, R. A. (1925) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100009580 · Cited by 2,684
Differential-Geometrical Methods in Statistics
Amari, S.-I. (1985) · Lecture Notes in Statistics · doi:10.1007/978-1-4612-5056-2 · Cited by 1,673
Blanchard, É., Ellwood, D., Khalkhali, M., Marcolli, M., Moscovici, H., & Popa, S. (1995) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789812831026_0011 · Cited by 990
INFORMATION CONTENTS OF DISTRIBUTIONS
Wigner, E. P., & Yanase, M. M. (1963) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.49.6.910 · Cited by 686
Physics from Fisher Information
Frieden, B. R. (1998) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622670 · Cited by 593
Monotone metrics on matrix spaces
Petz, D. (1996) · Linear Algebra and its Applications · doi:10.1016/0024-3795(94)00211-8 · Cited by 585
Homogeneity of the state space of factors of type III1
Alain Connes, A., & Størmer, E. (1978) · Journal of Functional Analysis · doi:10.1016/0022-1236(78)90085-x · Cited by 114
XIX.—On the Reciprocation of Certain Matrices
Collar, A. R. (1940) · Proceedings of the Royal Society of Edinburgh · doi:10.1017/s0370164600012281 · Cited by 83
On the Positive Semidefinite Nature of a Certain Matrix Expression
Wigner, E. P., & Yanase, M. M. (1964) · Canadian Journal of Mathematics · doi:10.4153/cjm-1964-041-x · Cited by 46
Research works printed but not linked: 1
- Chentsov, N. N., 1972, {\cyr Statisticheskie reshayushchie pravila i optimal\cprime nye vyvody}
Cited by
Sorted by citations
Characterizing Nonclassical Correlations via Local Quantum Uncertainty
Girolami, D., Tufarelli, T., & Adesso, G. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.240402 · Cited by 517
Quantum coherence and uncertainty in the anisotropic XY chain
Karpat, G., Çakmak, B., & Fanchini, F. F. (2014) · Physical Review B · doi:10.1103/physrevb.90.104431 · Cited by 235
Quantum coherence via skew information and its polygamy
Yu, C. (2017) · Physical Review A · doi:10.1103/physreva.95.042337 · Cited by 231
Entanglement detection via quantum Fisher information
Li, N., & Luo, S. (2013) · Physical Review A · doi:10.1103/physreva.88.014301 · Cited by 170
Self-citationRemedying the local ancilla problem with geometric discord
Chang, L., & Luo, S. (2013) · Physical Review A · doi:10.1103/physreva.87.062303 · Cited by 122
Self-citationPrecision Quantum Metrology and Nonclassicality in Linear and Nonlinear Detection Schemes
Rivas, ́., & Luis, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.010403 · Cited by 116
Quantum coherence sets the quantum speed limit for mixed states
Mondal, D., Datta, C., & Sazim, S. (2016) · Physics Letters A · doi:10.1016/j.physleta.2015.12.015 · Cited by 113
Quantifying correlations via the Wigner-Yanase skew information
Luo, S., Fu, S., & Oh, C. H. (2012) · Physical Review A · doi:10.1103/physreva.85.032117 · Cited by 108
Self-citationCharacterizing nonclassical correlations via local quantum Fisher information
Kim, S., Li, L., Kumar, A., & Wu, J. (2018) · Physical Review A · doi:10.1103/physreva.97.032326 · Cited by 101
Interferometric visibility and coherence
Biswas, T., Díaz, M. G., & Winter, A. (2017) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2017.0170 · Cited by 81
Quantifying nonclassicality via Wigner-Yanase skew information
Luo, S., & Zhang, Y. (2019) · Physical Review A · doi:10.1103/physreva.100.032116 · Cited by 79
Self-citationSlaoui, A., Lahcen, B., Mohammed Daoud, A., & Laamara, R. A. (2019) · Physics Letters A · doi:10.1016/j.physleta.2019.04.040 · Cited by 72
Algebraic and geometric methods in statistics
Gibilisco, P., Riccomagno, E., Rogantin, M. P., & Wynn, H. P. (2009) · Cambridge University Press eBooks · doi:10.1017/cbo9780511642401.002 · Cited by 70
Quantum non-Markovianity based on the Fisher-information matrix
Song, H., Luo, S., & Hong, Y. (2015) · Physical Review A · doi:10.1103/physreva.91.042110 · Cited by 65
Self-citationFactorization and Criticality in the Anisotropic XY Chain via Correlations
Çakmak, B., Karpat, G., & Fanchini, F. F. (2015) · Entropy · doi:10.3390/e17020790 · Cited by 64
From quantum coherence to quantum correlations
Sun, Y., Mao, Y., & Luo, S. (2017) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/118/60007 · Cited by 62
Self-citationLocal quantum uncertainty and local quantum Fisher information in two-coupled double quantum dots
Elghaayda, S., Dahbi, Z., & Mansour, M. (2022) · Optical and Quantum Electronics · doi:10.1007/s11082-022-03829-y · Cited by 58
Luo, S., & Sun, Y. (2017) · Physical Review A · doi:10.1103/physreva.96.022136 · Cited by 55
Self-citationEvolution of coherence and non-classicality under global environmental interaction
Bhattacharya, S., Banerjee, S., & Pati, A. K. (2018) · Quantum Information Processing · doi:10.1007/s11128-018-1989-4 · Cited by 54
Quantum variance: A measure of quantum coherence and quantum correlations for many-body systems
Frérot, I., & Roscilde, T. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.075121 · Cited by 50
Entanglement criterion for multipartite systems based on quantum Fisher information
Akbari-Kourbolagh, Y., & Azhdargalam, M. (2019) · Physical Review A · doi:10.1103/physreva.99.012304 · Cited by 48
Slaoui, A., Mohammed Daoud, A., & Laamara, R. A. (2018) · Quantum Information Processing · doi:10.1007/s11128-018-1942-6 · Cited by 47
Strong Quantum Metrological Limit from Many-Body Physics
Chu, Y., Li, X., & Cai, J. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.170801 · Cited by 50
Witnessing Multipartite Entanglement by Detecting Asymmetry
Girolami, D., & Yadin, B. (2017) · Entropy · doi:10.3390/e19030124 · Cited by 46
Broadcasting quantum Fisher information
Lu, X.-M., Sun, Z., Wang, X., Luo, S., & Oh, C. H. (2013) · Physical Review A · doi:10.1103/physreva.87.050302 · Cited by 45
Self-citationWitnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
Laurell, P., Scheie, A. O., Dagotto, E. R., & Tennant, D. M. (2024) · Advanced Quantum Technologies · doi:10.1002/qute.202400196 · Cited by 64
Linear quantum systems: A tutorial
Zhang, G., & Dong, Z. (2022) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2022.04.013 · Cited by 46
Superadditivity of Wigner-Yanase-Dyson Information Revisited
Luo, S., & Zhang, Q. (2008) · Journal of Statistical Physics · doi:10.1007/s10955-008-9534-y · Cited by 39
Self-citationQuantum Fisher information in quantum critical systems with topological characterization
Yin, S., Song, J., Zhang, Y., & Liu, S. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.184417 · Cited by 39
Quantum coherence measures based on Fisher information with applications
Li, L., Wang, Q., Shen, S., & Li, M. (2021) · Physical Review A · doi:10.1103/physreva.103.012401 · Cited by 38
Quantifying coherence relative to channels via metric-adjusted skew information
Sun, Y., Li, N., & Luo, S. (2022) · Physical Review A · doi:10.1103/physreva.106.012436 · Cited by 37
Self-citationInequalities for quantum Fisher information
Gibilisco, P., Imparato, D., & Isola, T. (2008) · Proceedings of the American Mathematical Society · doi:10.1090/s0002-9939-08-09447-1 · Cited by 37
Pairwise quantum criteria and teleportation in a spin square complex
Benabdallah, F., Haddadi, S., Zad, H. A., Pourkarimi, M. R., Mohammed Daoud, A., & Ananikian, N. S. (2022) · Scientific Reports · doi:10.1038/s41598-022-10248-2 · Cited by 37
Quantum Fisher Information in Two-Qubit Pure States
Liu, W., Zhang, L.-H., & Li, C. (2010) · International Journal of Theoretical Physics · doi:10.1007/s10773-010-0432-0 · Cited by 34
Metric-Adjusted Skew Information: Convexity and Restricted Forms of Superadditivity
Cai, L., & Hansen, F. (2010) · Letters in Mathematical Physics · doi:10.1007/s11005-010-0396-2 · Cited by 34
Detecting k -nonseparability via quantum Fisher information
Hong, Y., Luo, S., & Song, H. (2015) · Physical Review A · doi:10.1103/physreva.91.042313 · Cited by 34
Self-citationGeometrical Bounds on Irreversibility in Open Quantum Systems
Mancino, L., Cavina, V., Pasquale, A. D., Sbroscia, M., Booth, R. I., Roccia, E., Gianani, I., Giovannetti, V., & Barbieri, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.160602 · Cited by 35
Hierarchy of measurement-induced Fisher information for composite states
Lu, X.-M., Luo, S., & Oh, C. H. (2012) · Physical Review A · doi:10.1103/physreva.86.022342 · Cited by 34
Self-citationExtensions of the Mandelstam–Tamm quantum speed limit to systems in mixed states
Hörnedal, N., Allan, D., & Sönnerborn, O. (2022) · New Journal of Physics · doi:10.1088/1367-2630/ac688a · Cited by 30
Dakir, Y., Slaoui, A., Mohamed, A. A., Laamara, R. A., & Eleuch, H. (2023) · Scientific Reports · doi:10.1038/s41598-023-46396-2 · Cited by 32
Quantum Fisher information, quantum entanglement and correlation close to quantum critical phenomena
Liu, C.-C., Wang, D., Sun, W., & Ye, L. (2017) · Quantum Information Processing · doi:10.1007/s11128-017-1674-z · Cited by 30
Sub-quantum Fisher information
Cerezo, M., Sone, A., Beckey, J. L., & Coles, P. J. (2021) · Quantum Science and Technology · doi:10.1088/2058-9565/abfbef · Cited by 32
Benabdallah, F., Anouz, K. E., & Mohammed Daoud, A. (2022) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-022-02760-1 · Cited by 29
Qubit-qutrit separability-probability ratios
Slater, P. B. (2005) · Physical Review A · doi:10.1103/physreva.71.052319 · Cited by 29
Local Quantum Uncertainty and Quantum Interferometric Power in an Anisotropic Two-Qubit System
Zidan, N., Rahman, A. U., Haddadi, S., Czerwiński, A., & Haseli, S. (2022) · Universe · doi:10.3390/universe9010005 · Cited by 28
Quantum coherence as asymmetry from complex weak values
Budiyono, A., Agusta, M. K., Nurhandoko, B. E. B., & Dipojono, H. K. (2023) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/acd091 · Cited by 26
Tighter sum uncertainty relations based on metric-adjusted skew information
Ren, R., Li, P., Ye, M., & Li, Y. (2021) · Physical Review A · doi:10.1103/physreva.104.052414 · Cited by 28
Attaining subclassical metrology in lossy systems with entangled coherent states
Knott, P. A., Munro, W. J., & Dunningham, J. (2014) · Physical Review A · doi:10.1103/physreva.89.053812 · Cited by 25
Principle of maximum Fisher information from Hardy's axioms applied to statistical systems
Frieden, B. R., & Gatenby, R. A. (2013) · Physical Review E · doi:10.1103/physreve.88.042144 · Cited by 26
Rahman, A. U., Khedif, Y., Javed, M., Ali, H., & Mohammed Daoud, A. (2022) · Annalen der Physik · doi:10.1002/andp.202200197 · Cited by 25
Quantum correlations for two-qubit X states through the local quantum uncertainty
Jebli, L., Benzimoun, B., & Mohammed Daoud, A. (2017) · International Journal of Quantum Information · doi:10.1142/s0219749917500204 · Cited by 24
Fisher Information of Wavefunctions: Classical and Quantum
Shun-Long, L. (2006) · Chinese Physics Letters · doi:10.1088/0256-307x/23/12/001 · Cited by 23
Gaidi, S., Slaoui, A., Mohamed, A. ‐. A., Falaki, M. E., & Laamara, R. A. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad848d · Cited by 23
Quantum coherence measure based on affinity
Muthuganesan, R., Chandrasekar, V. K., & Sankaranarayanan, R. (2021) · Physics Letters A · doi:10.1016/j.physleta.2021.127205 · Cited by 21
Dahbi, Z., Oumennana, M., Anouz, K. E., Mansour, M., & Allati, A. E. (2023) · Applied Physics B · doi:10.1007/s00340-022-07963-z · Cited by 22
Wu, S.-X., Zhang, Y., & Yu, C.-S. (2018) · Annals of Physics · doi:10.1016/j.aop.2018.01.004 · Cited by 22
Direct approach to quantum extensions of Fisher information
Chen, P., & Luo, S. (2007) · Frontiers of Mathematics · doi:10.1007/s11464-007-0023-4 · Cited by 22
Self-citationQuantifying non-Gaussianity of bosonic fields via an uncertainty relation
Fu, S., Luo, S., & Zhang, Y. (2020) · Physical Review A · doi:10.1103/physreva.101.012125 · Cited by 21
Self-citationLocal quantum uncertainty in two-qubit separable states: a case study
Sen, A., Sarkar, D., & Bhar, A. (2015) · Quantum Information Processing · doi:10.1007/s11128-015-1114-x · Cited by 20
Metrologically resourceful multipartite entanglement under quantum many-body effects
Khalid, U., Rehman, J. U., & Shin, H. (2021) · Quantum Science and Technology · doi:10.1088/2058-9565/abd893 · Cited by 19
Witnessing Quantum Correlations in a Hybrid Qubit‐Qutrit System Under Intrinsic Decoherence
Benabdallah, F., Anouz, K. E., Rahman, A. U., Mohammed Daoud, A., Allati, A. E., & Haddadi, S. (2023) · Fortschritte der Physik · doi:10.1002/prop.202300032 · Cited by 20
Comparing quantum cloning: A Fisher-information perspective
Song, H., Luo, S., Li, N., & Chang, L. (2013) · Physical Review A · doi:10.1103/physreva.88.042121 · Cited by 21
Self-citationDetecting k -nonseparability via local uncertainty relations
Hong, Y., & Luo, S. (2016) · Physical Review A · doi:10.1103/physreva.93.042310 · Cited by 20
Self-citationBerry curvature as a lower bound for multiparameter estimation
Guo, W., Zhong, W., Jing, X.-X., Fu, L.-B., & Wang, X. (2016) · Physical Review A · doi:10.1103/physreva.93.042115 · Cited by 19
Maldonado-Mundo, D., & Luis, A. (2009) · Physical Review A · doi:10.1103/physreva.80.063811 · Cited by 19
Quantumness of Bosonic Field States
Luo, S., & Zhang, Y. (2019) · International Journal of Theoretical Physics · doi:10.1007/s10773-019-04313-2 · Cited by 19
Self-citationBuilding versatile bipartite probes for quantum metrology
Farace, A., Pasquale, A. D., Adesso, G., & Giovannetti, V. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/1/013049 · Cited by 18
Exponential Clustering of Bipartite Quantum Entanglement at Arbitrary Temperatures
Kuwahara, T., & Saito, K. (2022) · Physical Review X · doi:10.1103/physrevx.12.021022 · Cited by 20
Abouelkhir, N.-E., Hadfi, H. E., Slaoui, A., & Laamara, R. A. (2023) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2023.128479 · Cited by 18
Bakraoui, M. E., Slaoui, A., Hadfi, H. E., & Mohammed Daoud, A. (2022) · Journal of the Optical Society of America B · doi:10.1364/josab.446354 · Cited by 20
Disturbance-based measure of macroscopic coherence
Kwon, H., Park, C.-Y., Tan, K. C., & Jeong, H. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa68f5 · Cited by 19
Information-theoretic aspects of Werner states
Li, N., Luo, S., & Sun, Y. (2020) · Annals of Physics · doi:10.1016/j.aop.2020.168371 · Cited by 19
Self-citationFan, Y., Li, N., & Luo, S. (2023) · Physical Review A · doi:10.1103/physreva.108.052406 · Cited by 17
Self-citationQuantum criticality from Fisher information
Song, H., Luo, S., & Fu, S. (2017) · Quantum Information Processing · doi:10.1007/s11128-017-1543-9 · Cited by 17
Self-citationJahromi, H. R., Amini, M., & Ghanaatian, M. (2019) · Quantum Information Processing · doi:10.1007/s11128-019-2446-8 · Cited by 18
Gaussian states as minimum uncertainty states
Fu, S., Luo, S., & Zhang, Y. (2019) · Physics Letters A · doi:10.1016/j.physleta.2019.126037 · Cited by 17
Self-citationInformation-theoretic approach to atomic spin nonclassicality
Dai, H., & Luo, S. (2019) · Physical Review A · doi:10.1103/physreva.100.062114 · Cited by 16
Self-citationGeometric Approach to Quantum Statistical Inference
Jarzyna, M., & Kolodynski, J. (2020) · IEEE Journal on Selected Areas in Information Theory · doi:10.1109/jsait.2020.3017469 · Cited by 16
On Convexity of Generalized Wigner–Yanase–Dyson Information
Cai, L., & Luo, S. (2008) · Letters in Mathematical Physics · doi:10.1007/s11005-008-0222-2 · Cited by 17
Self-citationIntrinsic metrological resolution as a distance measure and nonclassical light
Rivas, ́., & Luis, A. (2008) · Physical Review A · doi:10.1103/physreva.77.063813 · Cited by 17
Detecting nonclassicality of light via Lieb's concavity
Luo, S., & Zhang, Y. (2019) · Physics Letters A · doi:10.1016/j.physleta.2019.125836 · Cited by 16
Self-citationThe efficiency of fractional channels in the Heisenberg XYZ model
Anouz, K. E., Allati, A. E., METWALLY, N., & Obada, A. ‐. F. (2023) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2023.113581 · Cited by 15
Measures of electronic-vibrational entanglement and quantum coherence in a molecular system
Vatasescu, M. (2015) · Physical Review A · doi:10.1103/physreva.92.042323 · Cited by 15
Dynamics of local quantum uncertainty for a two-qubit system under dephasing noise
Yang, C., Guo, Y.-N., Peng, H.-P., & Lü, Y. (2019) · Laser Physics · doi:10.1088/1555-6611/ab54be · Cited by 15
Measurement-induced nonlocality based on affinity
Muthuganesan, R., & Chandrasekar, V. K. (2020) · Communications in Theoretical Physics · doi:10.1088/1572-9494/ab8a26 · Cited by 14
Notes on Superadditivity of Wigner–Yanase–Dyson Information
Luo, S. (2007) · Journal of Statistical Physics · doi:10.1007/s10955-007-9349-2 · Cited by 14
Self-citationOptimal extraction of information from two spins
Chang, L., Li, N., Luo, S., & Song, H. (2014) · Physical Review A · doi:10.1103/physreva.89.042110 · Cited by 16
Self-citationQuantifying correlations via local channels
Li, N., Luo, S., & Sun, Y. (2022) · Physical Review A · doi:10.1103/physreva.105.032436 · Cited by 14
Self-citationCoherence in multipath interference via quantum Fisher information
Sun, Y., Li, N., & Luo, S. (2023) · Physical Review A · doi:10.1103/physreva.108.062416 · Cited by 14
Self-citationQuantum uncertainty in critical systems with three spins interaction
Carrijo, T. M., Avelar, A. T., & Céleri, L. C. (2015) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/48/12/125501 · Cited by 14
Bouafia, Z., & Mansour, M. (2023) · Laser Physics Letters · doi:10.1088/1612-202x/ad069f · Cited by 13
Weak superadditivity of skew information
Cai, L., Li, N., & Luo, S. (2008) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/41/13/135301 · Cited by 13
Self-citationGuo, Y.-N., Yang, C., Tian, Q., Wang, G., & Zeng, K. (2019) · Quantum Information Processing · doi:10.1007/s11128-019-2490-4 · Cited by 13
Jebli, L., Benzimoune, B., & Mohammed Daoud, A. (2016) · International Journal of Quantum Information · doi:10.1142/s0219749917500010 · Cited by 13
Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence
Guo, Y.-N., Peng, H.-P., Tian, Q., Tan, Z.-G., & Chen, Y. (2021) · Physica Scripta · doi:10.1088/1402-4896/abf960 · Cited by 12
Quantifying Decoherence of Gaussian Noise Channels
Zhang, Y., & Luo, S. (2021) · Journal of Statistical Physics · doi:10.1007/s10955-021-02758-6 · Cited by 12
Self-citationLiu, X., Du, Z. Z., & Liu, J. (2016) · Quantum Information Processing · doi:10.1007/s11128-015-1237-0 · Cited by 12
Generalized-mean Cramér-Rao bounds for multiparameter quantum metrology
Lu, X.-M., Ma, Z., & Zhang, C. (2020) · Physical Review A · doi:10.1103/physreva.101.022303 · Cited by 14
Logarithm Versus Square Root: Comparing Quantum Fisher Information
Shun-Long, L. (2007) · Communications in Theoretical Physics · doi:10.1088/0253-6102/47/4/005 · Cited by 12
Entanglement criteria based on quantum Fisher information
Liu, A.-X., Yang, M.-C., & Qiao, C. (2024) · Physics Letters A · doi:10.1016/j.physleta.2024.130003 · Cited by 12
Metadata
- Authors
- Luo, S.
- Affiliations
- Chinese Academy of Sciences (CN)
- Corresponding author
- Luo, Shunlong
- ORCID
- Luo, Shunlong
- Venue
- Proceedings of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 2003-07-07
- Volume
- 132
- Issue
- 3
- Pages
- 885-890
- ISSN
- 0002-9939 (ISSN-L)
- 1088-6826
- OpenAlex
- W1503304924
- Cited by
- 201
- References
- 10
- Citations by year
- 2026: 9 · 2025: 15 · 2024: 18 · 2023: 23 · 2022: 15 · 2021: 15 · 2020: 15 · 2019: 16 · 2018: 7 · 2017: 12 · 2016: 7 · 2015: 7 · 2014: 4 · 2013: 8 · 2012: 4
- FWCI
- 1.42
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Proceedings of the American Mathematical Society (publishedVersion)
- Funders
- National Natural Science Foundation of China (10131040)
- 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 › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- Wigner-Yanase skew information, quantum Fisher information, symmetric logarithmic derivative, classical Fisher information, quantum information, density matrix
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
