Fetching the paper…
Reading the bibliography…
We provide a new characterisation of quantum supermaps in terms of an axiom that refers only to sequential and parallel composition.
S. Gogioso, “A Process-Theoretic Church of the Larger Hilbert Space,” arXiv:1905.13117 [quant-ph]
1905
Earlier work this paper cites.
R. Haag and D. Kastler, “An Algebraic approach to quantum field theory,” J.Math.Phys
1964
Earlier work this paper cites.
Springer New York, 1971
S. M. Lane, Categories for the Working Mathematician , vol. 5 of Graduate Texts in Mathematics · 1971
Earlier work this paper cites.
M. D. Choi, “Completely positive linear maps on complex matrices,” Linear Algebra and Its Applications
1975
Earlier work this paper cites.
J. E. Roberts, “Localization in algebraic field theory,” Communications in Mathematical Physics
1982
Earlier work this paper cites.
L. Hardy, “Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories,” Physical Review Letters
1992
Earlier work this paper cites.
M. Hasegawa, “Recursion from Cyclic Sharing: Traced Monoidal Categories and Models of Cyclic Lambda Calculi,” Springer Verlag
1997
Earlier work this paper cites.
R. Brunetti, K. Fredenhagen, and R. Verch, “The generally covariant locality principle – A new paradigm for local quantum physics,” Communications in Mathematical Physics
2001
Earlier work this paper cites.
T. Eggeling, D. Schlingemann, and R. F. Werner, “Semicausal operations are semilocalizable,” Europhysics Letters
2002
Earlier work this paper cites.
M. Román, “Comb Diagrams for Discrete-Time Feedback,” tech. rep., 2020 · 2003
Earlier work this paper cites.
S. Abramsky and B. Coecke, “A categorical semantics of quantum protocols,” Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004
2004
Earlier work this paper cites.
F. Strocchi, “Relativistic Quantum Mechanics and Field Theory,” Foundations of Physics
2004
Earlier work this paper cites.
L. Hardy, “Towards Quantum Gravity: A Framework for Probabilistic Theories with Non-Fixed Causal Structure,” Journal of Physics A: Mathematical and Theoretical
2006
Earlier work this paper cites.
B. Coecke, “Kindergarten quantum mechanics: Lecture notes,” AIP Conference Proceedings
2006
Earlier work this paper cites.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Transforming quantum operations: Quantum supermaps,” EPL (Europhysics Letters)
2008
Earlier work this paper cites.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Quantum circuit architecture,” Physical Review Letters
2008
Earlier work this paper cites.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Theoretical framework for quantum networks,” Physical Review A - Atomic, Molecular, and Optical Physics
2009
Earlier work this paper cites.
G. Chiribella, G. M. D’Ariano, P. Perinotti, and B. Valiron, “Quantum computations without definite causal structure,” Physical Review A - Atomic, Molecular, and Optical Physics
2009
Earlier work this paper cites.
G. Chiribella, A. Toigo, and V. Umanità, “Normal completely positive maps on the space of quantum operations,” Open Systems and Information Dynamics
2010
Earlier work this paper cites.
B. Coecke, “Quantum picturalism,” Contemporary Physics
2010
Earlier work this paper cites.
S. Doplichera, “The principle of locality: Effectiveness, fate, and challenges,” Journal of Mathematical Physics
2010
Earlier work this paper cites.
G. Chiribella, “Perfect discrimination of no-signalling channels via quantum superposition of causal structures,” Physical Review A - Atomic, Molecular, and Optical Physics
2012
Earlier work this paper cites.
O. Oreshkov, F. Costa, and Ĉ. Brukner, “Quantum correlations with no causal order,” Nature Communications
2012
Earlier work this paper cites.
G. Chiribella, G. M. D’Ariano, P. Perinotti, and B. Valiron, “Quantum computations without definite causal structure,” Physical Review A - Atomic, Molecular, and Optical Physics
2013
Earlier work this paper cites.
Ä. Baumeler and S. Wolf, “Perfect signaling among three parties violating predefined causal order,” IEEE International Symposium on Information Theory - Proceedings
2013
Earlier work this paper cites.
B. Coecke and R. Lal, “Causal Categories: Relativistically Interacting Processes,” Foundations of Physics
2013
Earlier work this paper cites.
M. Araújo, F. Costa, and Ĉ. Brukner, “Computational advantage from quantum-controlled ordering of gates,” Physical Review Letters
2014
Cited alongside, same era.
A. Feix, M. Araújo, and Č. Brukner, “Quantum superposition of the order of parties as a communication resource,” Physical Review A
2015
Cited alongside, same era.
Ä. Baumeler and S. Wolf, “The space of logically consistent classical processes without causal order,” New Journal of Physics
2015
Cited alongside, same era.
P. A. Guérin, A. Feix, M. Araújo, and Ĉ. Brukner, “Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication,” Physical Review Letters
2016
Cited alongside, same era.
O. Oreshkov and C. Giarmatzi, “Causal and causally separable processes,” New Journal of Physics
2016
Cited alongside, same era.
D. Felce and V. Vedral, “Quantum refrigeration with indefinite causal order,” Phys. Rev. Lett
2020
Later among the works it cites.
G. Gour and C. M. Scandolo, “Entanglement of a bipartite channel,” Physical Review A
2021
Later among the works it cites.
G. Chiribella, M. Banik, S. S. Bhattacharya, T. Guha, M. Alimuddin, A. Roy, S. Saha, S. Agrawal, and G. Kar, “Indefinite causal order enables perfect quantum communication with zero capacity channels,” New Journal of Physics
2021
Later among the works it cites.
G. Chiribella, M. Wilson, and H. Chau, “Quantum and Classical Data Transmission Through Completely Depolarising Channels in a Superposition of Cyclic Orders,” Physical Review Letters
2021
Later among the works it cites.
M. Wilson and G. Chiribella, “A Diagrammatic Approach to Information Transmission in Generalised Switches,” Electronic Proceedings in Theoretical Computer Science (EPTCS)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
B. Coecke, T. Fritz, and R. W. Spekkens, “A mathematical theory of resources,” Inf. Comput
2016
Cited alongside, same era.
Springer International Publishing, Cham, 2017
P. Perinotti, Causal Structures and the Classification of Higher Order Quantum Computations · 2017
Cited alongside, same era.
M. Araújo, P. A. Guérin, and Ä. Baumeler, “Quantum computation with indefinite causal structures,” Physical Review A
2017
Cited alongside, same era.
R. Silva, Y. Guryanova, A. J. Short, P. Skrzypczyk, N. Brunner, and S. Popescu, “Connecting processes with indefinite causal order and multi-time quantum states,” New Journal of Physics
2017
Cited alongside, same era.
Cambridge University Press, 3, 2017
B. Coecke and A. Kissinger, Picturing quantum processes: A first course in quantum theory and diagrammatic reasoning · 2017
Cited alongside, same era.
Cambridge University Press, 2017
G. M. D’Ariano, G. Chiribella, and P. Perinotti, Quantum Theory from First Principles: An Informational Approach · 2017
Cited alongside, same era.
S. Gogioso and F. Genovese, “Infinite-dimensional categorical quantum mechanics,” Electronic Proceedings in Theoretical Computer Science, EPTCS
2017
Cited alongside, same era.
2021
Later among the works it cites.
Q. Dong, M. T. Quintino, A. Soeda, and M. Murao, “Success-or-Draw: A Strategy Allowing Repeat-Until-Success in Quantum Computation,” Physical Review Letters
2021
Later among the works it cites.
M. Román, “Open Diagrams via Coend Calculus,” Electronic Proceedings in Theoretical Computer Science
2021
Later among the works it cites.
M. J. Renner and Ĉ. Brukner, “Reassessing the computational advantage of quantum-controlled ordering of gates,” Physical Review Research
2021
Later among the works it cites.
V. Baumann, M. Krumm, P. A. Guérin, and Ĉ. Brukner, “Noncausal Page-Wootters circuits,” Physical Review Research
2021
Later among the works it cites.
J. Wechs, H. Dourdent, A. A. Abbott, and C. Branciard, “Quantum circuits with classical versus quantum control of causal order,” PRX Quantum
2021
Later among the works it cites.
T. Purves and A. J. Short, “Quantum theory cannot violate a causal inequality,” Phys. Rev. Lett
2021
Later among the works it cites.
J. H. Selby, C. M. Scandolo, and B. Coecke, “Reconstructing quantum theory from diagrammatic postulates,” Quantum
2021
Later among the works it cites.
A. Joyal and D. Verity, “Traced monoidal categories,” Math. Proc. Gamb. Phil. Soc
2021
Later among the works it cites.
P. Perinotti, “Causal influence in operational probabilistic theories,” Quantum
2021
Later among the works it cites.
R. Lorenz and J. Barrett, “Causal and compositional structure of unitary transformations,” Quantum
2021
Later among the works it cites.
A. Vanrietvelde, H. Kristjánsson, and J. Barrett, “Routed quantum circuits,” Quantum
2021
Later among the works it cites.
A. Vanrietvelde and G. Chiribella, “Universal control of quantum processes using sector-preserving channels,” Quantum Information and Computation
2021
Later among the works it cites.
F. Costa, “A no-go theorem for superpositions of causal orders,” Quantum
2022
Closest in time.
D. Felce, N. T. Vidal, V. Vedral, and E. O. Dias, “Indefinite causal orders from superpositions in time,” Phys. Rev. A
2022
Closest in time.
https://arxiv.org/abs/2206.08911
S. Gogioso and N. Pinzani, “The topology and geometry of causality,” 2022 · 2022
Closest in time.
G. Boisseau, C. Nester, and M. Román, “Cornering Optics,” Electronic Proceedings in Theoretical Computer Science
2023
Closest in time.
N. Ormrod, A. Vanrietvelde, and J. Barrett, “Causal structure in the presence of sectorial constraints, with application to the quantum switch,” Quantum
2023
Closest in time.
T. van der Lugt, J. Barrett, and G. Chiribella, “Device-independent certification of indefinite causal order in the quantum switch,” Nature Communications
2023
Closest in time.
V. Vilasini and R. Renner, “Embedding cyclic information-theoretic structures in acyclic space-times: No-go results for indefinite causality,” Phys. Rev. A
2024
Closest in time.
P. Arrighi, A. Durbec, and M. Wilson, “Quantum networks theory,” Quantum
2024
Closest in time.