|  Indefinite Causal Structures and Quantum Causality Violations | 
Indefinite Causal Structures
  > s.a. causality [as emergent], in quantum field theory;
  axioms for quantum theory; regularization.
  @ Reviews, introductions:
    Brukner nPhys(14)apr,
    PT(18)apr.
  @ General references:
    Hardy gq/05,
    JPA(07)gq/06-in,
    a0804-in ["causaloids"];
    Oreshkov et al nComm(12)-a1105;
    Ibnouhsein & Grinbaum PRA(15)-a1408,
    Ibnouhsein PhD(14)-a1510 [and information-theoretic reconstruction];
    Baumeler & Wolf NJP(16)-a1511;
    Costa & Shrapnel NJP(16)-a1512 [framework for quantum causal modelling];
    MacLean et al nComm(17)-a1606 [quantum-coherent mixtures];
    Budroni et al PRA(16)-a1607 [distinguishability];
    Araújo et al Quant(17)-a1611;
    Kissinger & Uijlen a1701 [categorical semantics];
    Silva et al NJP(17)-a1701 [and multi-time quantum states];
    Ried et al PRA(17)-a1707 [transitions between causal relations];
    Abbott et al Quant(17)-a1708 [genuinely multipartite non-causal correlations];
    Castro-Ruiz et al PRX(18)-a1710 [dynamics];
    Guérin & Brukner NJP(18)-a1805 [causal reference frames and locality];
    Pienaar a1806
      [quantum causal models and QBism; causal relations are observer-dependent];
    Paunković & Vojinović a1905 [causal orders and quantum circuits];
    Milz et al a2008 [ontological status];
    Selby et al a2008 [dynamics of quantum causal structures];
    Goswami & Romero a2009 [rev, and experiments];
    Baumann et al a2105 [Page-Wootters formulation];
    > s.a. Causal Model; correlations
      [including out-of-time-order]; quantum computation.
  @ Causal inequalities:
    Ho et al a1804 [violation in Minkowski space];
    Purves & Short a2101 [they cannot be violated].
  @ Correlations:
    Vilasini & Colbeck PRA(19)-a1907 [using Tsallis entropy].
  @ Entanglement: Jia PRA(17)-a1707;
    Zych et al a1708,
    Rubino et al a1712 [entangled temporal orders].
  @ Causally non-separable processes: Branciard SRep(16)-a1603;
    Feix et al NJP(16)-a1604 [processes admitting a causal model].
  @ Superpositions of causal orders:
    Taddei et al a1903 [as an operational resource];
    Pinzani & Gogioso a2003;
    Costa a2008 [no-go result].
  @  And quantum communication: Ebler et al PRL(18)-a1711 [communication networks];
    Salek et al a1809;
    Chiribella et al a1810 [perfect quantum communication];
    Jia & Costa PRA(19)-a1901 [causal order as a resource].
  @  Other phenomenology: Rubino et al SciAdv(17)-a1608
      [experimentally implemented process without a definite causal order];
    Perinotti in(17)-a1612 [and higher-order quantum  computations];
    Oreshkov Quant(19)-a1801 [local operations];
    Goswami et al PRL(18)-a1803 [in a quantum switch];
    news sn(18)aug [implementation];
    Felce & Vedral a2003 [quantum refrigeration].
Causality Violations
  > s.a. hidden variables; locality;
  measurements [non-local]; quantum effects;
  Retrocausation.
  * Superluminal communication:
    A number of proposals use quantum non-locality and the reduction process.
  * Quantum mechanics with CTCs:
    A widely accepted theory was proposed by Deutsch; An alternative one was
    proposed by Lloyd et al.
  @ General references: Cavalcanti PRX(18) [and non-locality, contextuality];
    Shoshany a1907-ln.
  @ Superluminal communication:
    Michalski qp/99-wd;
    Kuzmich et al PRL(01) [and quantum noise];
    Yang qp/01;
    Griffiths PRA(02)qp [no problem];
    Ferrero et al PRA(04) [and non-linearity];
    Malikotsinas qp/04 [and entanglement];
    Ferrero et al IJQI(05)qp [and non-linear evolution];
    Panković et al qp/05 [Griffiths' bug shadow];
    Bassi & Ghirardi IJTP(08)-a0711 [not possible with wave-function collapse];
    Ghirardi & Romano JPA(12),
    a1305-wd
      [why some of the most challenging recent proposals cannot work];
    Ghirardi in(13)-a1305 [exhaustive review of proposals to send faster-than-light signals];
    Sokolovski & Akhmatskaya AP(13)-a1309 [rev];
    Bassi & Hejazi EJP(15)-a1411 [no-superluminal-signaling implies linear evolutions].
  @ Superluminal tunneling: Aharonov et al PRL(98)qp [and unstable states];
    Chiao AIP(99)qp/98;
    Ghose & Samal PRE(01)qp/00 [and special relativity];
    Muga et al PRA(02)qp [Hartman effect];
    Sokolovski PRS(04)qp/03,
    PRA(10);
    > s.a. tunneling.
  @  Other phenomenology: Bennett PRA(87),
    PRA(87) [evidence in Compton scattering];
    Valentini PRL(88);
    Vaidman FP(91);
    Gray qp/98-wd [time machine];
    Pegg in(01)qp/05 [and self-consistency];
    Greenberger & Svozil in(02)qp/05 [beam-splitter model, paradox resolution],
    comment Wykes qp/05;
    Svetlichny IJTP(11)-a0902 [effective time travel];
    news pt(19)sep [inexpensive crystal as quantum time machine];
    > s.a. experiments [superluminal].
  @ And unitarity: Anderson PRD(95)gq/94;
    Antonsen & Bormann IJTP(98)qp;
    Everett PRD(04)gq [many-worlds];
    Cornalba & Costa PRD(06).
  @ Quantum mechanics with closed timelike curves: Hartle PRD(94)gq/93 [and unitarity];
    Fewster & Wells PRD(95)ht/94;
    Politzer PRD(94)gq;
    Rosenberg PRD(98)ht/97;
    Brun et al PRL(09)-a0811 [state distinguishability, cryptography];
    DeJonghe et al PRD(10)-a0908 [discontinuous evolution];
    Lloyd et al PRL(11)-a1005
    + news sn(10)jul [time travel through post-selected teleportation];
    Wallman & Bartlett FP(12)-a1005;
    Lloyd et al PRD(11)-a1007;
    Lee a1101 [finite state model];
    Gedik a1201;
    Allen PRA(14)-a1401;
    Dunlap a1510 [metaphysics of Deutsch's approach];
    Pinzani et al a1902 [categorical framework].
  @  And experiments: Ringbauer et al nComm(14)-a1501
    + news pw(15)feb [experimental simulation with photons];
    Cocciaro et al JPCS(17)-a1701 [entanglement over kms].
  > Related topics: see bell's theorem;
    phenomenology of entanglement [delayed-choice entanglement swapping];
    quantum computation; quantum correlations;
    types of particles [fake particles and microcausality violations];
    wave-function collapse.
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