Quantum Information Theory  

In General > s.a. information; entanglement; formulations of quantum theory [algebraic]; quantum correlations; quantum mechanics.
* Idea: Quantum information theory includes that of quantum measurement; In fact, according to a developing viewpoint, quantum mechanics really is a theory of information; The quantum information in a state includes quantum correlations (entanglement and quantum discord); > s.a. formulations of quantum mechanics.
* History: 2013, The field is now established, no longer emerging.
* Quantum no-hiding theorem: If information is missing from one system (which may happen when the system interacts with the environment), then the information is simply residing somewhere else in the Universe; In other words, the missing information cannot be hidden in the correlations between a system and its environment.
@ Intros, I: Zeilinger pw(98)mar; news sn(12)apr.
@ Intros and reviews: Svozil qp/95-ln [algorithmic]; Nielsen & Chuang 00; Nielsen PhD(98)qp/00, qp/00; Schumann MSc(00)qp; Vedral RMP(02)qp/01; Werner qp/01-ch; Simon PhD(00)qp/01; Gill JKSS(01)m.ST/04, Keyl PRP(02)qp; Galvăo PhD(02)qp [and applications]; Jozsa qp/03/IBM [examples]; Lo qp/03 [personal view]; Braunstein & van Loock RMP(05) [with continuous variables]; Bub qp/05-ch; Le Bellac 06; Timpson qp/06-ch [philosophical]; Scarani a0910-ln [and correlations]; Caves a1302-in [history]; Girvin a1302-ch; Miszczak a1303-talk [and 0-th quantization]; Navarrete-Benlloch a1504; Grazioso a1507 [and applications, black holes and renormalization group]; Strauch AJP(16)jul [RL].
@ Open problems: Krüger & Werner qp/05; Ruskai a0708-conf.
@ Books: Steeb & Hardy 06 [problems and solutions]; Vedral 07; Bruß & Leuchs ed-07 [lectures]; Diósi 07; Jaeger 07 [r PT(08)mar]; Barnett 09 [r PT(10)jul]; Bokulich & Jaeger ed-10 [philosophy]; Vedral 10; Wilde 13-a1106 [quantum Shannon theory]; Hayashi et al 15; Preskill a1604-ln; Hayashi 17 [group-theoretical approach]; Wilde 17.
@ General references: Zeh FP(73)qp/03; Schumacher PRA(91); Lyre IJTP(96)qp/97, qp/97-conf; Adami & Cerf qp/98-proc; Green IJTP(98); Winter qp/98; Griffiths PRA(02)qp, Duvenhage FP(02)qp [nature]; Brukner & Zeilinger in(03)qp/02; Khrennikov SPIE(03)qp; Duwell SHPMP(03) [no new concept needed]; Svozil IS(09)-a0711-conf [nature]; Griffiths PRA(07) [types]; Kato PhD(07)-a0803 [geometrical]; Kak a0907-conf [transactional nature]; Dupuis PhD(09)-a1004 [decoupling approach]; Ozawa Sugaku(14)-a1201 [mathematical foundations]; Kent CQG(12)-a1204 [quantum tasks in relativistic quantum mechanics]; Fujii a1306-proc [and statistical mechanics]; Ilgin & Yang IJMPA(14)-a1402 [and energy]; Demarie PhD-a1407 [geometrical and topological aspects]; Modi et al a1608 [quantum information cannot be hidden from subsystems and spread over quantum correlations].
@ Quantum information measures: Brukner & Zeilinger FP(09)-a0905; Dupuis & Wilde a1506 [swiveled Rényi entropies].
@ Gaussian state quantum information: Ralph et al RMP(12)-a1110; Wang et al PRP(07)-a0801; Adesso et al OSID(14)-a1401 [pedagogical].
@ Quantum version of Shannon theory: Devetak et al IEEE(08)qp/05; Duwell SHPMP(08).
@ Computation, information processing: Bennett PT(95)oct; Benenti et al 04, 07; Lim PhD-qp/05 [with single photons]; Spiller et al CP(05) [rev]; Alicki & Horodecki qp/06 [storage, no-go theorem]; Vedral FP(10) [speedup, interplay between correlations and distinguishability]; Dürr a1303 [physical implementations]; Kastoryano et al PRL(13) + Muschik Phy(13) [engineered dissipative processes]; Flammia et al Quantum-a1610 [storage limits].
@ And network theory: Kauffman & Lomonaco a1404 [diagrammatic methods]; Biamonte et al a1702 [rev].
@ And quantum dynamics: Nielsen et al PRA(03)qp/02; Garbaczewski CEJP(08)cm/07; Blume-Kohout et al PRL(08)-a0705 [preserved information in quantum processes]; Cao et al a0805 [covariant Margolus-Levitin theorem]; Ciaglia et al a1608; > s.a. quantum state evolution [speed limit].
@ And foundations: Svozil qp/00 [information interpretation]; Fuchs qp/01-proc; Ferrero FP(03); Fredkin IJTP(03) [digital philosophy]; Grinbaum IJQI(03)qp [derivation of quantum mechanics]; Hagar PhSc(03)oct; Calude & Stay IJTP(05)qp/04 [algorithmic randomness]; Bub FP(05)qp/04; Shafiee et al FPL(06)qp/04 [re Brukner-Zeilinger]; Timpson PhD(04)qp; Auletta FP(05); Hagar & Hemmo FP(06)qp/05 [not just information]; Brown & Timpson qp/06-ch [against info-based postulates]; Daumer et al in(06)qp [against quantum mechanics = information]; Goyal NJP(10)-a0805 [origin of quantum formalism]; Demopoulos a0809-conf [and quantum logic]; Niestegge a1003; D'Ariano a1012-conf [physics as information processing]; Roederer a1108; Chiribella & Scandolo EPJC(15)-a1411; > s.a. information ["it from bit"]; origin of quantum mechanics.

Specific Theories and Systems > s.a. information and spacetime / gravity [black holes, particles]; photons; spin models.
@ And thermodynamics: Horodecki & Horodecki PLA(98)qp/97 [laws]; Rohrlich O&S(01)qp; Alicki et al OSID(04)qp; Maruyama et al JPA(05)qp/04 [cost of accessing]; Baraviera et al AMRX(10)-a0911 [thermodynamic formalism], a0911 [dynamical approach]; > s.a. information theory.
@ And entropy: Cerf & Adami qp/96-proc, PRL(97)qp/95 [S < 0]; Maroney PhD(02)qp/04; Guevara qp/06; Kak IJTP(07).
@ And particle physics / qft: Jizba cm/03-conf [generalized statistics]; Omar IJQI(05)qp/04; Ng & Parwani MPLA(11)-a0808; Blanco a1702-PhD [quantum information measures in quantum field theory].
@ And spin networks: Marzuoli & Rasetti PLA(02), AP(05)qp/04 [evolution]; Girelli & Livine CQG(05) [as harmonic oscillators]; Terno JPCS(06)gq/05 [black hole model].
@ Other systems and applications: Park et al PRL(13) [heat engine driven by quantum information]; > s.a. composite quantum systems.
> Other gravity: see black holes and information; causal sets; horizons; quantum gravity; quantum foundations; quantum cosmology; quantum spacetime.

Special Topics > s.a. axioms for quantum theory; causality in quantum theory [information causality]; quantum technology.
* Channel capacity: The capacity of the bosonic channel with thermal noise and linear loss hinges on the bosonic minimum output entropy conjecture, which states that the vacuum input gives the minimum output entropy for a channel with thermal noise, and was proved in 2009; It implies that the bosonic channel attains its capacity for coherent state inputs.
@ And measurement: Rothstein Sci(51)aug; Prugovecki IJTP(77); Cerf & Adami qp/96/PRA; Kak FP(98); Ban IJTP(98), JPA(99), JPA(99), JPA(99) [and entropy]; Childs et al JMO(00); Massar & Popescu PRA(00)qp/99; Deutsch & Hayden PRS(00) [information localization and flow]; Barnum et al PRS(01); Zurek qp/01-ln; Jacobs qp/03, PRA(03)qp; Mayburov qp/04-proc, IJTP-qp/04-conf; Rocchi & Panella AIP(07)-a0710; Paris IJQI(09)-a0804 [parameter estimation and optimization]; Wilde et al JPA(12) [and Winter's measurement compression theorem]; Rastegin PRS(15)-a1506 [Brukner-Zeilinger approach].
@ And wave-function collapse: Janssens MSc(04)qp/05; Janssens & Maassen JPA(06)qp; Bondar qp/07 [and many-worlds].
@ And non-locality: Srikanth qp/01, qp/01; Horodecki et al PRA(05)qp/04 [local vs non-local]; Fanchini et al NJP(12)-a1106 [locally inaccessible information].
@ And classical information: Oppenheim et al PRA(03)qp/02; Herrera-Martí MSc(08)-a0810 [classical capacity of quantum channels]; Ostrowski a1011; Landulfo & Torres PRA(13)-a1304 [classical information through relativistic quantum channels]; Heunen et al EPTCS(14)-a1405 [and higher categories].
@ Classical limit: Oppenheim et al PRL(03)qp/02 [phase transition]; Granik qp/05 [transition as information localization]; Blume-Kohout & Zurek PRA(06)qp/05 [information redundancy]; Chiribella & D'Ariano PRL(06) [many users].
@ Mutual information: Hall PRA(97) [correlation bounds]; Casini CQG(07)gq/06 [and entropy bounds]; Bernigau et al JSM(15)-a1301 [thermal free lattice fermions].
@ Compression: Horodecki PRA(98)qp/97; Mitchison & Jozsa PRA(04)qp/03 [geometrical].
@ Information scrambling: Sekino & Susskind JHEP(08)-a0808, Susskind a1101 [fast scramblers]; Swingle PRA(16)-a1602 [and out-of-time-order correlation functions].
@ Information transmission: Jonsson et al PRL(15)-a1405 [without energy exchange].
@ Fisher information: Hradil & Rehacek qp/03 [and interferometry]; Flego et al a1105 [and the Schrödinger equation]; Liu et al CTP(14)-a1312 [new expression]; Yao et al a1401 [in non-inertial frames]; > s.a. formulations of quantum mechanics.
@ Invariant, relativistic: Brukner & Zeilinger PRL(99)qp/00, PRA(01)qp/00 [Shannon information not appropriate], comment Timpson SHPMP(03), PhSc(03)dec; Rehacek & Hradil PRL(02)qp/01; Peres & Terno RMP(04)qp/02 [and general relativity], IJQI(03)qp [and special relativity]; Bartlett & Terno PRA(05)qp/04; Terno in(06)qp/05; Czachor QIP(10)-a1002 [manifestly covariant]; Bradler a1108 [comment on misconceptions]; Adami in(11)-a1112; issue CQG(12)#22; Palmer PhD-a1312; Metwally et al CTP-a1402 [Lorentz transformations and entanglement loss].
@ Quantum states: Caves & Fuchs qp/96-in; Preskill JMO(00)qp/99; Rudolph qp/99; Vitanyi qp/99-proc; Peacock qp/02 [superposition]; Clifton et al FP(03)qp/02 [and quantum mechanics] + Halvorson SHPMP(04)qp/03; Barnum qp/03; Barndorff-Nielsen et al qp/03, JRSS(03)qp [inference]; Horodecki et al Nat(05)qp [partial and negative info]; Hewitt-Horsman & Vedral NJP(07)qp/06 [Deutsch-Hayden approach to quantum mechanics].
@ Other topics: Pati PRA(02) [impossible operations]; Valentini Pra(02)qp-proc [subquantum information]; Peres qp/03/FP [and EPR]; Benatti et al CMP(06)qp/05 [entropy and complexity]; Cabello FP(06) [communication complexity]; Buscemi NJP(09)-a0901 [information shredding]; Vlasov a0903 [and nanotechnology]; Lloyd et al a0906 [bosonic minimum output entropy conjecture proof]; Goldstein FP(10)-a0907 [and Bohmian mechanics]; Plekhanov a0909, 12 [isotope-based]; Kofler & Zeilinger ER(10)-a1301 [and randomness]; Samal et al PRL(11) + news physorg(11)mar [no-hiding theorem confirmed experimentally]; Berta PhD-a1310 [quantum side information]; Gupta et al a1410-ln [functional analysis].
> Other topics: see categories in physics; complexity; entropy [including Shannon and Rényi]; Erasure; Lieb-Robinson Bounds; uncertainty relations.

Online Resources > see Quantiki.

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