Quantum Discord| Quantum Discord |
In General > s.a. correlations in physics;
quantum correlations.
* Idea: Discord is the difference
between two classically equivalent expressions for bipartite mutual information, one
expressed in terms of joint entropy and the other expressed in terms of mutual entropy;
It quantifies non-classical correlations in a quantum system, including those not captured
by entanglement; States with zero discord exhibit strictly classical correlations;
> s.a. quantum phase transitions.
@ General references: Ferraro et al PRA(10)-a0908
[negligibly few states exhibit strictly classical correlations];
Brodutch & Terno a1608-ln;
Adesso et al a1611,
Vedral a1702 [intros];
Dutta et al QIP(17)-a1702 [graph-theoretic study].
@ Measures: Brodutch & Terno PRA(10)-a1002 [different discord-like quantities];
Dakić et al PRL(10)-a1004;
Cavalcanti et al PRA(11)-a1008,
Madhok & Datta PRA(11)-a1008 [operational interpretation];
Batle et al a1103;
Yao et al PLA(12);
Piani PRA(12)-a1206 [problem, and mutual-information-based discord];
Yao et al PLA(12)-a1303 [geometric interpretation];
Spehner & Orszag NJP(13)-a1304;
Ali a1912 [local quantum uncertainty].
@ Discord, other:
Fanchini et al PRA(10) [dynamics];
Giorda & Paris PRL(10)-a1003 [bipartite Gaussian states];
Adesso & Datta PRL(10)-a1003 [two-mode Gaussian states];
Maziero et al a1004;
Al-Qasimi & James a1007 [vs entanglement];
Fanchini et al NJP(12)-a1106 [and entanglement of formation];
Thilagam a1106 [and quantum Zeno effect];
Huang et al NJP(11) [criterion for zero discord];
Jin et al JPA(12)-a1110 [measurement];
Okrasa & Walczak EPL(11)-a1112 [and multipartite correlations];
Arsenijević et al a1201-proc [zero-discord classicality];
Guo & Hou JPA(13)-a1206 [local creation, necessary and sufficient conditions];
Wiseman AP(13)-a1208 [and Bohr's non-mechanical disturbance];
Benedetti et al IJQI(12)-a1209,
Gheorghiu et al PRL(15)-a1407 [effects of classical noise];
Modi OSID(14)-a1312 [overview];
Piani PRL(16)-a1501 [computationally efficient lower bounds];
Agrawal et al IJQI(16)-a1502 [local and non-local quantumness];
> s.a. markov processes.
Types of Discord and Systems
@ Types and generalizations: Jebarathinam a1407
[Bell and Mermin discord, and decomposition of quantum correlations for non-signaling theories];
Xu a1506 [oblique discord];
Mazumdar et al a1812 [Sharma-Mittal quantum discord].
@ Two-qubit states: Galve et al PRA(11)-a1007;
Girolami et al JPA(11)-a1008;
Shi et al NJP(11)-a1102 [geometric picture];
Girolami & Adesso PRA(11)-a1103;
Jurkowski a1206 [q-discord, from Tsallis entropy];
Nguyen & Joynt a1310/PRA [topology of the hypersurface of zero discord].
@ Other specific systems: Sarandy PRA(09)-a0905 [critical systems];
Perinotti PRL(12)-a1112 [probabilistic theories];
Rossignoli et al PRA(12)-a1206 [spin-1 systems];
Canosa et al IJMPB(13)-a1206 [XY chains];
Gwozdz & Jakobczyk QIP-a1306 [spontaneous emission can create quantum discord];
Weedbrook et al NJP(16)-a1604 [and the resilience of quantum illumination];
Kanno et al PRD(16)-a1608 [in de Sitter space];
Martin & Vennin PRD(16)-a1609 [and cmb anisotropies];
> s.a. spin models.
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