Karol ┼╗yczkowski:   notions introduced  or studied

(notions in italics were introduced in the papers quoted)
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entropy
 - dynamical Kolmogorov - Sinai entropy  1994, 1995, 2000, 2004
 - coherent states dynamical quantum entropy 1994, 1997, 1998
 - dynamical entropy for systems with noise  2000, 2001, 2008
 - computing    19992000a, 2000b
 - entropy of a quantum operation   2011, 2013, 2019
- entropy of an error correction code 2008
 - dynamical subadditivity   2008
 -  Renyi  2001a,   2003
 - Urbanik-Ingarden 2015
 - Wehrl   2001a2001b, 2004

entropic uncertainty relations  2013, 2014, 2016a, 2016b, 2018
entropic  certainty relations   2015
additive uncertainty relations 2020
 
symbolic dynamics   20002001
parabolic maps on the torus  1999, 2000 
                 fractals   1999a1999b2000
quantum
fractals  2000, 2001
quantum iterated function systems  2003
quantum scars 1991
quantum billiards 1991a, 1991b, 1992, 1994
quantum graphs  2001, 2003, 2004
quantum Lapunov exponent  1992, 1993
quantum dynamical entropy 1994, 1997, 1998
quantum chaos 1987, 1989, 1990, 1991, 1992
quantum scattering  19961997, 1998,  
quantum measurements  20172018

Quartic quantum theory 2008 
quantization of classical maps 1995 , 1999, 2001, 2002, 2003a, 2003b

entanglement
measures 2002b, 2003,
    negativity 1998, 19992002
    geometric measures 2002a, 2002b
    multipartite systems   2002c, 2014, 2015, 2016, 2018a, 2018b, 2018c, 2019
    heterogeneous systems  2016
    g-concurrence  2006
    barycentric measure 2012
    collectibility   2011, 2012
- entanglement dynamics 2002
-
entanglement detection   2014a2014b
-
entanglement and topology   2002,   2019
-
entanglement and geometry 1998 1999, 2001, 2002a 2002b, 2017
-
entanglement witness  2009
 

 entangling power  2013, 201720182020a, 2020
  separability gap    2019
  negativity of Wigner function 2004

fidelity - average 20052012, 2016
  sub-fidelity & super-fidelity  2008

quantum maps (quantum channels)
  - unistochastic map 2004, 2013, 2019, 2020
  - selfcomplementary map 2016, 2019
 - positive and not completely positive 20042008a2008b2009, 2009b
  - random quantum operations  20092010, 20122018
 
- mixed unitary maps 2005
  - Davies maps  2010
  - spectral properties  2018a, 2018b
  - compositions of ...  2008, 2011

supermap        2008

hyper-decoherence
     2008, 2020
coherification of a state/map   2018, 2019

Bell inequalities 20162020
Holevo quantity 2010, 2012
Jarzynski equality 2014
Lindblad dynamics 2019a, 2019b, 2020
time reversal 1992, 1997, 2015  

metric in the space of quantum states
  -   Monge distance between quantum states 1997, 2001

quantum  states
  - Hilbert-Schmidt  2001  2003, 2004, 2011
  - random Bures states  2003, 2010
  - generalized Bures      2011, 2015
  - contradiagonal states    2014
  - composition of ... 2008
 - Absolutely Maximally Entangled (AME) 2018
 - k-uniform    2014, 2019
- distinguishability 2008, 201620182019
-  geometry   2001, 2002, 2006, 2013

random quantum states  2001, 2004, 2011a, 2011b, 2016
       -       graph states      20102013a, 2013b
       -       graph matrices  2013b
randomized benchmarking 2005

mutually unbiased bases 2007, 201020172020
  t-designs   - mixed state t-designs 2020

matrices
-   complex Hadamard    2006, 2007, 2010
    - unbiased c.H.m      2007
    - defect of c.H.m.   2008
   -  robust Hadamard  m.  2018  
-    almost Hadamard m.  2012
-    random bistochastic m. 2009
-   unistochastic m.  2003, 2005, 2009, 2013, 2018, 2020
-   k-unistochastic m. 2020
-    random unitary m. 19941996a, 1996b, 2013
     composed ensembles of r.u.m  1998
-    truncations of r.u.m.  20002010
- tensor product of t.u.m. 2012
-  products of random non-hermitian matrices  2010 2011
multiunitary m. 2016
-    generalized Wishart m. 2015
-    band random m.   1992, 1994, 1996a, 1996b
-    scattering m.  1996, 1997

distributions
  - Fuss-Catalan (FC)  2010, 2011a, 2011b
  - generalized FC      2015 
  -  Raney    2011, 2013
 
orthogonal arrays (OA)  2016,   2018
- irredundant OA     2014, 2016
- Quantum Orthogonal Arrays            2018
  Quantum orthogonal Latin squares  2018
  Quantum orthogonal Latin cubes     2018

numerical range     2014
 -  higher rank n.r.   20062007, 2013 
 -  product n.r    20102011
 -  restricted n.r   2010,  2012
 -  joint n.r.     2013, 2018
-  nuclear n.r.  2016
numerical shadow  2011a  2011b, 2012,   2015

quantum error correction codes 2006, 2008, 2013, 2016, 2017
protected subspaces  2010

cut resistant links 2019
tensor rank   2019
citation graph 2010

voting theory  2019
-  Penrose voting system  2004, 2006,  2007, 2013, 2018,
- Jagiellonian Compromise  2006, 2013book (in Polish),
- distribution of seats in European Parliament 2012, 2017
                       Cambridge Compromise 
option pricing   1998




last edited on April 23, 2020
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