Fetching the paper…
Reading the bibliography…
Quantum mechanics is compatible with scenarios where the relative order between two events can be indefinite.
Claude E Shannon, “A mathematical theory of communication,” The Bell System Technical Journal 27
1948
Earlier work this paper cites.
CH Bennett and G Brassard, “Quantum cryptography: Public key distribution and coin tossing,” Proceedings of the International Conference on Computers, Systems and Signal Processing, Bangalore, India , 175–179 (1984)
1984
Earlier work this paper cites.
Yakir Aharonov, Jeeva Anandan, Sandu Popescu, and Lev Vaidman, “Superpositions of time evolutions of a quantum system and a quantum time-translation machine,” Physical Review Letters 64
1990
Earlier work this paper cites.
Artur K Ekert, “Quantum cryptography based on bell’s theorem,” Physical Review Letters 67
1991
Earlier work this paper cites.
Charles H Bennett and Stephen J Wiesner, “Communication via one-and two-particle operators on einstein-podolsky-rosen states,” Physical Review Letters 69
1992
Earlier work this paper cites.
Charles H Bennett, David P DiVincenzo, John A Smolin, and William K Wootters, “Mixed-state entanglement and quantum error correction,” Physical Review A 54
1996
Earlier work this paper cites.
Benjamin Schumacher and Michael A Nielsen, “Quantum data processing and error correction,” Physical Review A 54
1996
Earlier work this paper cites.
Benjamin Schumacher and Michael D Westmoreland, “Sending classical information via noisy quantum channels,” Physical Review A 56
1997
Earlier work this paper cites.
Seth Lloyd, “Capacity of the noisy quantum channel,” Physical Review A 55
1997
Earlier work this paper cites.
Emanuel Knill and Raymond Laflamme, “Theory of quantum error-correcting codes,” Physical Review A 55
1997
Earlier work this paper cites.
Alexander S Holevo, “The capacity of the quantum channel with general signal states,” IEEE Transactions on Information Theory 44
1998
Earlier work this paper cites.
Charles H Bennett, Peter W Shor, John A Smolin, and Ashish V Thapliyal, “Entanglement-assisted classical capacity of noisy quantum channels,” Physical Review Letters 83
1999
Earlier work this paper cites.
Michael A Nielsen and Isaac Chuang, Quantum computation and quantum information (Cambridge University Press, 2000)
2000
Earlier work this paper cites.
Alexander S Holevo and Reinhard F Werner, “Evaluating capacities of bosonic gaussian channels,” Physical Review A 63
2001
Earlier work this paper cites.
PW Shor, “talk at msri workshop on quantum computation,” available online under http://www. msri. org/publications/ln/msri/2002/quantumcrypto/shor/1 (2002)
2002
Earlier work this paper cites.
Daniel KL Oi, “Interference of quantum channels,” Physical Review Letters 91
2003
Earlier work this paper cites.
Matteo Gregoratti and Reinhard F Werner, “Quantum lost and found,” Journal of Modern Optics 50
2003
Earlier work this paper cites.
Johan Åberg, “Subspace preservation, subspace locality, and gluing of completely positive maps,” Annals of Physics 313
2004
Earlier work this paper cites.
Igor Devetak, “The private classical capacity and quantum capacity of a quantum channel,” IEEE Transactions on Information Theory 51
2005
Earlier work this paper cites.
N. Gisin, N. Linden, S. Massar, and S. Popescu, “Error filtration and entanglement purification for quantum communication,” Phys. Rev. A 72
2005
Cited alongside, same era.
John A Smolin, Frank Verstraete, and Andreas Winter, “Entanglement of assistance and multipartite state distillation,” Physical Review A 72
2005
Cited alongside, same era.
Igor Devetak and Andreas Winter, “Distillation of secret key and entanglement from quantum states,” Proceedings of the Royal Society A: Mathematical, Physical and engineering sciences 461
2005
Cited alongside, same era.
Mário Ziman and Vladimír Bužek, “All (qubit) decoherences: Complete characterization and physical implementation,” Physical Review A 72
2005
Cited alongside, same era.
Giulio Chiribella, Giacomo Mauro D’Ariano, and Paolo Perinotti, “Transforming quantum operations: Quantum supermaps,” EPL (Europhysics Letters) 83
Giulia Rubino, Lee A Rozema, Adrien Feix, Mateus Araújo, Jonas M Zeuner, Lorenzo M Procopio, Časlav Brukner, and Philip Walther, “Experimental verification of an indefinite causal order,” Science Advances 3
2017
Later among the works it cites.
Alexander Streltsov, Gerardo Adesso, and Martin B Plenio, “Colloquium: Quantum coherence as a resource,” Reviews of Modern Physics 89
2017
Later among the works it cites.
Giulio Chiribella and Yuxiang Yang, “Optimal quantum operations at zero energy cost,” Physical Review A 96
2017
Later among the works it cites.
K Goswami, Christina Giarmatzi, M Kewming, Fabio Costa, Cyril Branciard, Jacquiline Romero, and AG White, “Indefinite causal order in a quantum switch,” Physical Review Letters 121
2018
Closest in time.
Daniel Ebler, Sina Salek, and Giulio Chiribella, “Enhanced communication with the assistance of indefinite causal order,” Physical Review Letters 120
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2008
Cited alongside, same era.
Alexander S Holevo, “Entanglement-breaking channels in infinite dimensions,” Problems of Information Transmission 44
2008
Cited alongside, same era.
Giulio Chiribella, Michele Dall’Arno, Giacomo Mauro D’Ariano, Chiara Macchiavello, and Paolo Perinotti, “Quantum error correction with degenerate codes for correlated noise,” Physical Review A 83
2011
Cited alongside, same era.
Ognyan Oreshkov, Fabio Costa, and Časlav Brukner, “Quantum correlations with no causal order,” Nature Communications 3
2012
Cited alongside, same era.
Giulio Chiribella, “Perfect discrimination of no-signalling channels via quantum superposition of causal structures,” Physical Review A 86
2012
Cited alongside, same era.
Timoteo Colnaghi, Giacomo Mauro D’Ariano, Stefano Facchini, and Paolo Perinotti, “Quantum computation with programmable connections between gates,” Physics Letters A 376
2012
Cited alongside, same era.
Mark M Wilde, Quantum information theory (Cambridge University Press, 2013)
2013
Cited alongside, same era.
Giulio Chiribella, Giacomo Mauro D’Ariano, Paolo Perinotti, and Benoit Valiron, “Quantum computations without definite causal structure,” Phys. Rev. A 88
2013
Cited alongside, same era.
2018
Closest in time.
2018
Closest in time.
Kejin Wei, Nora Tischler, Si-Ran Zhao, Yu-Huai Li, Juan Miguel Arrazola, Yang Liu, Weijun Zhang, Hao Li, Lixing You, Zhen Wang, et al. , “Experimental quantum switching for exponentially superior quantum communication complexity,” Physical Review Letters 122
2019
Closest in time.
Magdalena Zych, Fabio Costa, Igor Pikovski, and Časlav Brukner, “Bell’s theorem for temporal order,” Nature Communications 10
2019
Closest in time.
Ognyan Oreshkov, “Time-delocalized quantum subsystems and operations: on the existence of processes with indefinite causal structure in quantum mechanics,” Quantum 3
2019
Closest in time.
Xiaobin Zhao, Yuxiang Yang, and Giulio Chiribella, “Quantum metrology with indefinite causal order,” Physical Review Letters 124
2020
Closest in time.
Tamal Guha, Mir Alimuddin, and Preeti Parashar, “Thermodynamic advancement in the causally inseparable occurrence of thermal maps,” Phys. Rev. A 102
2020
Closest in time.
Yu Guo, Xiao-Min Hu, Zhi-Bo Hou, Huan Cao, Jin-Ming Cui, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, and Giulio Chiribella, “Experimental transmission of quantum information using a superposition of causal orders,” Physical Review Letters 124
2020
Closest in time.
K Goswami and J Romero, “Experiments on quantum causality,” AVS Quantum Science 2
2020
Closest in time.
2020
Closest in time.
H. Kristjánsson, G. Chiribella, S. Salek, D. Ebler, and M. Wilson, “Resource theories of communication,” New J. Phys. 22
2020
Closest in time.
K. Goswami, Y. Cao, G. A. Paz-Silva, J. Romero, and A. G. White, “Increasing communication capacity via superposition of order,” Phys. Rev. Research 2
2020
Closest in time.
Alastair A Abbott, Julian Wechs, Dominic Horsman, Mehdi Mhalla, and Cyril Branciard, “Communication through coherent control of quantum channels,” Quantum 4
2020
Closest in time.