Mary Beth Ruskai | Academic Influence

Mary Beth Ruskai's AcademicInfluence.com Rankings

Mary Beth Ruskai

Mathematics

#2965

World Rank

#4465

Historical Rank

#1130

USA Rank

Measure Theory

#2604

World Rank

#3118

Historical Rank

#747

USA Rank

mathematics Degrees

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Mathematics

Mary Beth Ruskai's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Mary Beth Ruskai Influential?

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According to Wikipedia, Mary Beth Ruskai was an American mathematical physicist and professor of mathematics with interest in mathematical problems in quantum physics. She was a Fellow of the AAAS, AMS, APS, and AWM. Education Ruskai was the daughter of Michael J. Ruskai and Evelyn M. Ruskai . She had three sisters. She graduated from Notre Dame College in Cleveland, Ohio in 1965 with a BS in chemistry. She simultaneously received her M.A. in mathematics and her Ph.D. in physical chemistry from the University of Wisconsin–Madison in 1969. Her PhD thesis was about the N-Representability Problem.

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Mary Beth Ruskai's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Entanglement Breaking Channels (2002) (457)
Proof of the strong subadditivity of quantum‐mechanical entropy (1973) (450)
Minimal entropy of states emerging from noisy quantum channels (1999) (338)
Bounds for the adiabatic approximation with applications to quantum computation (2006) (298)
An analysis of completely positive trace-preserving maps on M2 (2002) (285)
Inequalities for quantum entropy: A review with conditions for equality (2002) (215)
A Fundamental Property of Quantum-Mechanical Entropy (1973) (214)
Monotone Riemannian metrics and relative entropy on noncommutative probability spaces (1998) (148)
Properties of Conjugate Channels with Applications to Additivity and Multiplicativity (2005) (142)
BEYOND STRONG SUBADDITIVITY? IMPROVED BOUNDS ON THE CONTRACTION OF GENERALIZED RELATIVE ENTROPY (1994) (134)
The structure of degradable quantum channels (2008) (126)
Contractivity of positive and trace-preserving maps under Lp norms (2006) (123)
Qubit Entanglement Breaking Channels (2003) (122)
The χ2-divergence and mixing times of quantum Markov processes (2010) (107)
Wavelets and their Applications (1992) (106)
Multiplicativity of Completely Bounded p-Norms Implies a New Additivity Result (2005) (104)
Inequalities for traces on von Neumann algebras (1972) (96)
Some operator inequalities of the schwarz type (1974) (92)
Density functional approach to quantum lattice systems (1985) (80)
Relative entropy under mappings by stochastic matrices (1993) (75)
A UNIFIED TREATMENT OF CONVEXITY OF RELATIVE ENTROPY AND RELATED TRACE FUNCTIONS, WITH CONDITIONS FOR EQUALITY (2009) (67)
Absence of discrete spectrum in highly negative ions (1982) (65)
An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices (2000) (58)
Qubit channels which require four inputs to achieve capacity: implications for additivity conjectures (2004) (46)
The Quantum Entropy Cone of Stabiliser States (2013) (45)
Pauli diagonal channels constant on axes (2006) (45)
Convexity inequalities for estimating free energy and relative entropy (1990) (40)
Connecting N-representability to Weyl's problem: the one-particle density matrix for N = 3 and R = 6 (2007) (40)
Comments on multiplicativity of maximal p -norms when p=2 (2004) (37)
Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices (1998) (37)
Permutationally invariant codes for quantum error correction (2003) (37)
Absence of discrete spectrum in highly negative ions (1982) (37)
Another Short and Elementary Proof of Strong Subadditivity of Quantum Entropy (2006) (37)
Maximal output purity and capacity for asymmetric unital qudit channels (2005) (33)
Some Open Problems in Quantum Information Theory (2007) (31)
Capacity of quantum channels using product measurements (2000) (30)
Multiplicativity properties of entrywise positive maps (2004) (28)
Time development of quantum lattice systems (1971) (27)
N‐Representability Problem: Particle‐Hole Equivalence (1970) (26)
Study of a Class of Regularizations of 1/|x| Using Gaussian Integrals (1999) (26)
Families of completely positive maps associated with monotone metrics (2012) (25)
N-Representability Problem: Conditions on Geminals (1969) (24)
Comment on some results of Erdahl and the convex structure of reduced density matrices (2012) (23)
Some Connections between Frames, Mutually Unbiased Bases, and POVM’s in Quantum Information Theory (2009) (22)
Equivalence of certain entropy contraction coefficients (1994) (21)
Conditions for multiplicativity of maximal ℓp-norms of channels for fixed integer p (2004) (21)
Erratum: Inequalities for quantum entropy: A review with conditions for equality [J. Math. Phys. 43, 4358 (2002)] (2005) (21)
Limits on stability of positive molecular ions (1989) (20)
Qubit channels can require more than two inputs to achieve capacity. (2001) (19)
Quantum codes give counterexamples to the unique preimage conjecture of the N-representability problem. (2010) (18)
LIEB'S SIMPLE PROOF OF CONCAVITY OF (A, B) ↦ Tr Ap K† B1-p K AND REMARKS ON RELATED INEQUALITIES (2005) (17)
Lieb's simple proof of concavity of Tr A^p K^* B^(1-p) K and remarks on related inequalities (2004) (16)
Contraction coefficients for noisy quantum channels (2015) (15)
Open Problems in Quantum Information Theory (2007) (15)
Absence of bound states in extremely asymmetric positive diatomic molecules (1991) (15)
Remarks on Kim's strong subadditivity matrix inequality: Extensions and equality conditionsa) (2012) (14)
Bounds on the concavity of quantum entropy (2014) (14)
A one-dimensional model for many-electron atoms in extremely strong magnetic fields: maximum negative ionization (1999) (14)
Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution (2006) (14)
Extermal properties of relative entropy in quantum statistical mechanics (1988) (12)
Inequalities : selecta of Elliott H. Lieb (2002) (11)
Qubit channels with small correlations (2008) (11)
N Completeness, N Representability, and Geminal Expansions (1972) (11)
Operator structures in quantum information theory (2012) (9)
Proof of the bosonic minimum output entropy conjecture (2009) (8)
The bosonic minimum output entropy conjecture and Lagrangian minimization (2009) (7)
Limit on the excess negative charge of a dynamic diatomic molecule (1990) (7)
Multiplicativity properties of entrywise positive maps on matrix algebras (2004) (7)
Comments on Adiabatic Quantum Algorithms (2002) (7)
Binding limit in the Hartree approximation (1984) (7)
Improved estimate on the number of bound states of negatively charged bosonic atoms (1994) (7)
N-representability problem for an odd number of fermions. (1968) (7)
Some bipartite states do not arise from channels (2003) (6)
One Dimensional Regularizations of the Coulomb Potential with Application to Atoms in Strong Magnetic Fields (1999) (6)
Guest Comment: Are there innate cognitive gender differences? Some comments on the evidence in response to a letter from M. Levin (1991) (5)
ARE “FEMINIST PERSPECTIVES'’IN MATHEMATICS AND SCIENCE FEMINIST? a (1995) (4)
One-Dimensional Models for Atoms in Strong Magnetic Fields, II: Anti-Symmetry in the Landau Levels (2003) (4)
Comment on the Peltzer-Brandstatter papers: Two counterexamples☆ (1973) (3)
A pair of optimal inequalities related to the error function (1997) (3)
Extreme Points and Factorizability for New Classes of Unital Quantum Channels (2020) (3)
N ov 2 00 1 An Analysis of Completely-Positive Trace-Preserving Maps on M 2 (2001) (2)
Local products as operators (1973) (2)
A generalization of entropy using traces on von Neumann algebras (1973) (2)
Pauli Exchange and Quantum Error Correction (2000) (2)
A Characterization of Completely-Positive Trace-Preserving Maps on 2x2 Matrices (2000) (2)
Comments on multiplicativity of maximalp-norms whenp=2 (2004) (2)
Location of Essential Spectrum of Intermediate Hamiltonians Restricted to Symmetry Subspaces (1988) (1)
Optimization of Communication in Noisy Quantum Channels (2002) (1)
Introduction to Special Issue: Operator Algebras and Quantum Information Theory (2016) (1)
Confusion about Bohm (2001) (1)
Between discovery and justification (2001) (1)
Correction to: Extreme Points and Factorizability for New Classes of Unital Quantum Channels (2021) (0)
Local additivity revisited (2021) (0)
Response to Graham: the Quantum View.: the Quantum View. (2001) (0)
Noisy Quantum Communication and Computation (2006) (0)
Publisher's Note: Qubit channels with small correlations [Phys. Rev. A77, 052323 (2008)] (2008) (0)
Comment on "Transitions in the communication capacity of dissipative qubit channels". (2010) (0)
Comment on “Stronger subadditivity of entropy” (2006) (0)
2 5 F eb 2 00 3 Qubit Entanglement Breaking Channels (2003) (0)
2 5 Fe b 20 05 Lieb ’ s simple proof of concavity of ( A , B ) 7 → Tr A p K † B 1 − p K and remarks on related inequalities (2008) (0)
Asymptotic N eutrality of Polyatomic Molecules (1992) (0)
Introduction to Quantum Information Theory (2004) (0)
Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians (2010) (0)
A pr 2 00 3 Permutationally Invariant Codes for Quantum Error Correction (2004) (0)
Contemporary Mathematics Pauli Exchange and Quantum Error Correction (2000) (0)
XXXVIII Symposium on Mathematical Physics "Quantum Entanglement & Geometry" (2006) (0)
Extreme Points of Unital Quantum Channels (2016) (0)
J un 2 00 0 Pauli Exchange and Quantum Error Correction (2000) (0)
T HE χ 2 - DIVERGENCE AND M IXING TIMES OF QUANTUM M ARKOV PROCESSES (2018) (0)
Progress on Additivity Conjectures for Memoryless Channels in Quantum Information Theory (2004) (0)
Hypercontractivity and Log Sobolev inequalities in Quantum Information Theory (2015) (0)
Yet another proof of the joint convexity of relative entropy (2021) (0)
Entropy of Reduced Density Matrices (1987) (0)
ec 2 00 0 An Analysis of Completely-Positive Trace-Preserving Maps on M 2 (2009) (0)
Publisher's Note: “Conditions for multiplicativity of maximal ℓp-norms of channels for fixed integer p” [J. Math. Phys. 46, 042105 (2005)] (2005) (0)
Calcul Des Variations. —Estimations d’énergie pour des applications de R3 à (2002) (0)
Affect the Participation of Women (2014) (0)
A ug 2 00 0 Capacity of Quantum Channels Using Product Measurements (2001) (0)
Axx Functions of one variable 26 A 03 Foundations : limits and generalizations , elementary topology of the line (2003) (0)
Ju l 2 00 2 Entanglement Breaking Channels (2003) (0)
Ju l 2 00 2 Entanglement Breaking Channels (2003) (0)
Noisy Quantum Computation and Communication (2003) (0)
Degradable Channels in Quantum Information Theory (2008) (0)
A pr 2 00 0 A Characterization of Completely-Positive Trace-Preserving Maps on M 2 (2008) (0)
Comment on “ Stronger subadditivity of entropy ” by Lieb and Seiringer Phys . Rev . A 71 , 062329 ( 2005 ) (2008) (0)
Quantum Codes Give Counterexamples to the Unique (2011) (0)
A pr 2 00 2 Comments on Adiabatic Quantum Algorithms ∗ (2002) (0)
A pr 2 00 2 Comments on Adiabatic Quantum Algorithms ∗ (2002) (0)
0 60 10 63 v 1 3 0 Ja n 20 06 Contractivity of positive and trace preserving maps under L p norms (2022) (0)
Comment on "Stronger subadditivity of entropy" by Lieb and Seiringer math-ph/0412009 (2006) (0)

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