@article(abbott2018,
 author       = {Alastair A. Abbott and Julian Wechs and Dominic Horsman and Mehdi Mhalla and Cyril Branciard},
 year         = {2018},
 title        = {Communication through coherent control of quantum channels},
 url          = {https://arxiv.org/abs/1810.09826},
)
@article(Araujo2014,
 author       = {Mateus Ara{\'{u}}jo and Adrien Feix and Fabio Costa and {\v{C}}aslav Brukner},
 year         = {2014},
 title        = {Quantum circuits cannot control unknown operations},
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 volume       = {16},
 number       = {9},
 pages        = {093026},
 doi          = {10.1088/1367-2630/16/9/093026},
)
@article(chiribella2010,
 author       = {Giulio Chiribella and Giacomo Mauro D'Ariano and Paolo Perinotti},
 year         = {2010},
 title        = {Probabilistic theories with purification},
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)
@article(Chiribella2013,
 author       = {Giulio Chiribella and D\IeC{\textquoteright}Ariano, Giacomo Mauro and Paolo Perinotti and Benoit Valiron},
 year         = {2013},
 title        = {Quantum computations without definite causal structure},
 journal      = {Physical Review A},
 volume       = {88},
 number       = {2},
 doi          = {10.1103/physreva.88.022318},
)
@article(Chiribella2019,
 author       = {Giulio Chiribella and Kristj\IeC{\'a}nsson, Hl\IeC{\'e}r},
 year         = {2019},
 title        = {Quantum Shannon theory with superpositions of trajectories},
 journal      = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
 volume       = {475},
 number       = {2225},
 pages        = {20180903},
 doi          = {10.1098/rspa.2018.0903},
)
@article(Rovelli2019,
 author       = {Marios Christodoulou and Carlo Rovelli},
 year         = {2019},
 title        = {On the possibility of laboratory evidence for quantum superposition of geometries},
 journal      = {Physics Letters B},
 volume       = {792},
 pages        = {64 -- 68},
 doi          = {10.1016/j.physletb.2019.03.015},
)
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 author       = {Bob Coecke and Ross Duncan},
 year         = {2011},
 title        = {Interacting quantum observables: categorical algebra and diagrammatics},
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)
@article(Coecke2016,
 author       = {Bob Coecke and Chris Heunen and Aleks Kissinger},
 year         = {2016},
 title        = {Categories of quantum and classical channels},
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 volume       = {15},
 number       = {12},
 pages        = {5179--5209},
 doi          = {10.1007/s11128-014-0837-4},
)
@article(Coecke2012,
 author       = {Bob Coecke and Raymond Lal},
 year         = {2012},
 title        = {Causal Categories: Relativistically Interacting Processes},
 journal      = {Foundations of Physics},
 volume       = {43},
 number       = {4},
 pages        = {458\IeC{\textendash}501},
 doi          = {10.1007/s10701-012-9646-8},
)
@book(chiribella2017,
 author       = {Giacomo Mauro D'Ariano and Giulio Chiribella and Paolo Perinotti},
 year         = {2017},
 title        = {Quantum Theory from First Principles: An Informational Approach},
 publisher    = {Cambridge University Press},
 doi          = {10.1017/9781107338340},
)
@article(Doering2010,
 author       = {D\IeC{\"o}ring, Andreas and Chris J. Isham},
 year         = {2010},
 title        = {\IeC{\textquotedblleft}What is a Thing?\IeC{\textquotedblright}: Topos Theory in the Foundations of Physics},
 journal      = {Lecture Notes in Physics},
 pages        = {753\IeC{\textendash}937},
 doi          = {10.1007/978-3-642-12821-913},
)
@article(DAriano2018,
 author       = {D\IeC{\textquoteright}Ariano, Giacomo Mauro},
 year         = {2018},
 title        = {Causality re-established},
 journal      = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
 volume       = {376},
 number       = {2123},
 pages        = {20170313},
 doi          = {10.1098/rsta.2017.0313},
)
@misc(gogioso2017,
 author       = {Stefano Gogioso},
 year         = {2017},
 title        = {Fantastic Quantum Theories and Where to Find Them},
 url          = {https://arxiv.org/abs/1703.10576},
)
@article(Gogioso2018,
 author       = {Stefano Gogioso and Carlo Maria Scandolo},
 year         = {2018},
 title        = {Categorical Probabilistic Theories},
 journal      = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {266},
 pages        = {367\IeC{\textendash}385},
 doi          = {10.4204/eptcs.266.23},
)
@inbook(Isham2011,
 author       = {Chris J. Isham},
 year         = {2011},
 title        = {Topos Methods in the Foundations of Physics},
 pages        = {187\IeC{\textendash}206},
 publisher    = {Cambridge University Press},
 doi          = {10.1017/CBO9780511976971.005},
)
@article(Malament1977,
 author       = {David B. Malament},
 year         = {1977},
 title        = {The class of continuous timelike curves determines the topology of spacetime},
 journal      = {Journal of Mathematical Physics},
 volume       = {18},
 number       = {7},
 pages        = {1399--1404},
 doi          = {10.1063/1.523436},
)
@article(Marletto2017,
 author       = {Chiara {Marletto} and Vladko {Vedral}},
 year         = {2017},
 title        = {{Gravitationally Induced Entanglement between Two Massive Particles is Sufficient Evidence of Quantum Effects in Gravity}},
 journal      = {Physical Review Letters},
 volume       = {119},
 number       = {24},
 eid          = {240402},
 doi          = {10.1103/PhysRevLett.119.240402},
)
@article(Marletto2019,
 author       = {Chiara {Marletto} and Vlatko {Vedral}},
 year         = {2019},
 title        = {{Answers to a few questions regarding the BMV experiment}},
 url          = {https://arxiv.org/abs/1907.08994},
)
@article(oi2003,
 author       = {Daniel K. L. Oi},
 year         = {2003},
 title        = {Interference of Quantum Channels},
 journal      = {Physical Review Letters},
 volume       = {91},
 number       = {6},
 doi          = {10.1103/physrevlett.91.067902},
)
@article(Oreshkov2019,
 author       = {Ognyan Oreshkov},
 year         = {2019},
 title        = {Time-delocalized quantum subsystems and operations: on the existence of processes with indefinite causal structure in quantum mechanics},
 journal      = {{Quantum}},
 volume       = {3},
 pages        = {206},
 doi          = {10.22331/q-2019-12-02-206},
)
@article(Oreshkov2012,
 author       = {Ognyan Oreshkov and Fabio Costa and {\v C}aslav Brukner},
 year         = {2012},
 title        = {Quantum correlations with no causal order},
 journal      = {Nature Communications},
 volume       = {3},
 number       = {1},
 pages        = {1092},
 doi          = {10.1038/ncomms2076},
)
@misc(paunkovic2019causal,
 author       = {Nikola Paunkovic and Marko Vojinovic},
 year         = {2019},
 title        = {Causal orders, quantum circuits and spacetime: distinguishing between definite and superposed causal orders},
 url          = {https://arxiv.org/abs/1905.09682},
)
@inproceedings(Pinzani2019,
 author       = {Nicola Pinzani and Stefano Gogioso and Bob Coecke},
 year         = {2019},
 title        = {Categorical Semantics for Time Travel},
 booktitle    = {2019 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)},
 publisher    = {IEEE Computer Society},
 address      = {Los Alamitos, CA, USA},
 pages        = {1--20},
 doi          = {10.1109/LICS.2019.8785664},
)
@article(salek2018,
 author       = {Sina Salek and Daniel Ebler and Giulio Chiribella},
 year         = {2018},
 title        = {Quantum communication in a superposition of causal orders},
 url          = {https://arxiv.org/abs/1809.06655},
)
@article(Thompson2018,
 author       = {Jayne Thompson and Kavan Modi and Vlatko Vedral and Mile Gu},
 year         = {2018},
 title        = {Quantum plug n\IeC{\textquoteright} play: modular computation in the quantum regime},
 journal      = {New Journal of Physics},
 volume       = {20},
 number       = {1},
 pages        = {013004},
 doi          = {10.1088/1367-2630/aa99b3},
)
@article(Bruckner2019,
 author       = {Magdalena Zych and Fabio Costa and Igor Pikovski and {\v C}aslav Brukner},
 year         = {2019},
 title        = {Bell's theorem for temporal order},
 journal      = {Nature Communications},
 volume       = {10},
 number       = {1},
 pages        = {3772},
 doi          = {10.1038/s41467-019-11579-x},
)